Solve the given integral equation or integro-differential equation for y(t). y' (t) +27 (t-v)y(v) dv=10t, y(0) = 0 0 y(t) = ☐

Q: The velocity of water ft/s at the point of discharge is given by v = 14.640-√P, where P is the…

A: The velocity of water in​ ft/s at the point of discharge is given bywhere P is the pressure in…

Q: please solve this

A: Ans :  Volume = 2.24 cubic units ( approximating upto 2 decimal places)Explanation:Explaination:

Q: #1: For which of the cases below do the given functions form a fundamental set of solutions of the…

A: Summary: - (i) does not form a fundamental set due to missing different exponent solutions and…

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.04t³ +…

A: (A) S′(t)=0.12t2+1.6t+8 (B) S(4)=53.36  and  S′(4)=16.32 (C) S(12) gives the total sales of the…

Q: > #11 Given z = f(x,y) = 3xy , у find the equation of the tangent plane to the graph, when x=1, y=3.

A: Equation of tangent is z=4x−34​y−2Explanation:

Q: In this problem, p is in dollars and x is the number of units. The demand function for a product is…

A: Part 1: AnswerThe consumer's surplus is $30.Explanation:Dear student, below is the complete answer…

Q: ☐ Let 60, 61. Which of the following must be true if y = log(x)? Check all that apply. ☐ y = b² 1 y…

A: Option C is correct Option D is correct Explanation:

Q: The random variable X has the probability distribution table shown below. x 46810 12 P(X = x) 0.2…

A: The objective of the question is to find the missing values in the probability distribution table…

Q: All solutions of the differential equation  y' = −6 − y4  are decreasing functions.

A: The given differential equation is y' = -6 - y^4. The derivative y' represents the rate of change of…

Q: Use the graph of the function f shown to estimate the indicated limits and the function value.…

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Q: Calculus I May I please have the solution for the following question? Sketch an accurate graph…

A: THE ANSWER IS IN THE EXPLANATION PART.FEEL FREE TO ASK ANY OF YOUR DOUBTS AND COMMENT IF YOU FACE…

Q: If then 0 0 0 t:9- 0 0 0

A:

Q: (a) Let v(t) be a differentiable vector valued function of t. If v. (dv/dt) = 0 for all t, can we…

A: The objective of the question is to determine if we can say anything about the magnitude of a vector…

Q: Find the volume of the solid that results when the region enc y = √√√x, y = 0, and x = 100 is…

A: y=√xy=0 and x=100About the line y = 10

Q: Let (f : [0, infinity) -> R be an arbitrary continuous function, which is differentiable on…

A: The objective of this question is to prove that a function f(x), which is continuous and…

Q: Using the definition, calculate the derivative of the function. Then find the values of the…

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Q: how did we find 100/3

A:

Q: Use the One to One Property to exactly evaluate the following logarithm. The answer will be…

A: By using the one to one property to exactly evaluate the following logarithm.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis y = √8-x, 2 ≤ X ≤…

A:

Q: Use a sketch to find the exact value of the following expression. tan cos 10 26 Which of the…

A: Answer:Option C. The correct triangle to find the value of the expression is Option C. Here's…

Q: (8 points) Suppose the terrain of a hillside is represented as the graph z = f(x). Suppose f(a) = c…

A: I have given detailed solution below thanksExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Write the corresponding rectangular equation for the curve represented by the parametric equation…

A:

Q: Now, we can find the revenue function by multiplying the price function by the quantity function and…

A: Revenue function can be obtained by multiplying the price function by the quantity function.

Q: Find all critical numbers and use the Second Derivative Test to determine all local extrema.…

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Q: Find the value of the improper integral fox dx 1 + x2 a. πT O b. C. d. -π Not in the list П 2

A: Option (d) is correct π/2 Explanation:Step 1:- Step 2: Step 3: Step 4:

Q: b. How would you rewrite each expression if it was an integrand for a trig. integral? Just the first…

A: We have to rewrite each integrand1.    Sin3xcos4x2.     Sin2x3.      Cosec3xcot3x

Q: A real estate office manages an apartment complex with 40 units. When the rent is $1594 per month,…

A: A real estate office manages an apartment complex with 40 units. When the rent is $1594 per…

Q: Do not round until the final answer. Then round to the nearest cent as​ needed.

A: A thorough explanation is provided below.   Explanation:                                  So, the…

Q: Find all critical numbers by hand. f(x) = x²-7 x+3

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Q: Find y" if y= -4 cos x OA. y" 4 cos x

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Q: A medical laboratory raises its own rabbits. The number of rabbits N(t) available at any time t…

A: (A) The function is discontinuous at t=t2​,t4​,t5​,t7​,t8​(B)limt→t6​​N(t)=5N(t6​)=5(C) Limit…

Q: Consider the following. y y=x³-2x -4 -2 + 2 2 y=2x 2 (a) Find the points of intersection of the…

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: A company that services a number of vending machines considers its income as a continuous stream…

A: To find the income from the stream over the next 8 years, we need to integrate the function f(t)…

Q: (a) Graph each of the following functions on the same screen, using the viewing rectangle [0, 1,…

A: for question a see the attachment for explanation and answerafter plotting the points on the graph…

Q: Give the probability distribution for the indicated random variable. (Enter your probabilities as…

A: The probability distribution of X is shown below.x23456789101112P(X=x) 1/36 2/363/36 4/36  5/36 6/36…

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: A spherical balloon is inflating with helium at a rate of 80x ft³/min. How fast is the balloon's…

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Q: Use the Chain Rule to find Əz/ǝs and Əz/ǝt. z = x5y5, x = s cost, y = s sin t Z Əz || дл at ||

A: Answer is given below.Explanation:Step 1:--Step 2: Step 3: Step 4:

Q: Calculate all four second-order partial derivatives and check that fxy = fyx. Assume the variables…

A: Answers:  ∙fxx​=25y2e5xy∙fyy​=25x2e5xy∙fxy​=5e5xy(1+5xy)∙fyx​=5e5xy(1+5xy)Explanation:Step 1:

Q: (a) Let vt) be a differentiable vector valued function of t. If v. (dy/dt) = 0 for all t, can we say…

A: The question is asking whether we can infer anything about the magnitude of a vector v(t), given…

Q: #14. Given the integral SS² y² cos xdxdy (a) Evaluate it. "(with the given order of integration),…

A: a.)∫12​∫02π​​y2cos(x)dxdy=∫12​[y2sin(x)∣x=0x=2π​​]dy=∫12​[y2sin(2π​)−y2sin0)]dy=∫12​[y2⋅1−y2⋅0]dy=∫1…

Q: I+t #1 Let r(t)=(x(t), y(t), z(t)) = (1-{², t- ½, ±). (a) Find the moment of time to and the point…

A: Image attached.Explanation:a)  b)

Q: Find f'(x). f(x) = -5 Inx+8x²-6 f'(x)=

A:

Q: (a) Find the length of the curve y = x4 - 16 + 1 1 ≤ x ≤2 2x2

A: Since you have asked multiple question as per our policy, we will solve the first question for you.…

Q: The GoldPlus Company determines that the marginal cost for their Aiibe 64GB flash  drive is given by…

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Q: Find the arc length of the curve on the given interval. x²,y=141, 0 ≤t≤7 Select one: O a.…

A: Given the parameteric form of a curve.

Q: The GoldPlus Company determines that the marginal cost for their Aiibe 64GB flash drive is given by…

A: The objective of the question is to find the general and particular solution of the cost function C.…

Q: Show that the function (f : [0, infinity) -> R given by f(x) = e^{2x} - 2e^x + 2 ] has an inverse…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find the slope of the curve at the given point P and an equation of the tangent line at P. y=x²+5x,…

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Q: Find the point P on the graph of the function y The x coordinate of P is: Submit answer √ closest to…

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