Find given: z= xe*y, x= t, y= 3 + 2t dz dt Your answer should only involve the variable t

Q: tank is full of water. Find the work W required to pump the water out o T 1 m Ť 4 m 12 m 4 m

A: The volume of the water of thickness '∆x' at height of x from the bottom.  In △CGB & △CFEFE∥GB.…

Q: d²s Find the position of a body moving on a coordinate line at time t for an acceleration a = - v(0)…

A: a=d2sdt2=8e2t v(0)=20,  s(0)=6

Q: 5. An electric car is listed at $60,000 and depreciates by 47% per year. (a) Find its value after 4…

A: Given: An electric car is listed at $60000 and depreciates by 47% per year.

Q: Your farm encompasses 600 acres, and you are planning to grow soybeans, corn, and wheat in the…

A: We have to find the acres of soyabeans to get maximum profit.

Q: and the critical points of the f(x) = 2x³ + 7 1/22²- - 3x

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Q: Y=√x /n(x)

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Q: Σ1/(In(n))^4 [1/(n(In(n))^4) [(n+1)/(n^{3/2}+n) Σ1/(3^n-5) sin(n)/(3^n) 1/(n^5 -1) (4) (6) Direct…

A: The solution is shown below-

Q: (0) Σας (3) COS n=1

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Q: The parametric equations of the line through the points A(0,0,1) and B(1,2,2) are:

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Q: if cos(x)=7/sqrt85 with 3pi/2<x<2pi what are: sin(x) sex(x) csc(x)

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Q: Given the demand function D(p) = 225 - 2p², Find the Elasticity of Demand at a price of $1 At this…

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Q: 1 Graph the function by using transformations of the graph of y = Plot all necessary asymptotes. For…

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Q: 9) /(x) = 3 · -8 -6 -4 -2 | x + 1 20 18 14 1 12 10 8 ଣ 4 + 2 2 4 6 X

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Q: 4. Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: The figure below shows contours of g(x, y) on the region R, with 5 ≤ x ≤ 11 and 2 ≤ y ≤ 8. Using Ax…

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Q: Estimate I = = [₁² (1420² I≈ (a) Left endpoints. (4x² + 4x + 1) dx using n = 3 subintervals, and I≈…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Use Newton's method to obtain the third approximation, x2, of the positive fourth root of 13 by…

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Q: Evaluate the triple integral. JIJ 7xy dv, where E lies under the plane z = 1 + x + y and above the…

A: graphing the region

Q: Use Newton's method to estimate the one real solution of x + 5x-2=0. St x₂ = (Round to four decimal…

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Q: (Q2.) Solve the following. 1. Verify that y = e2 is a solutions of the following differential…

A: Please see the below picture for detailed solution.

Q: An apartment complex can rent all 250 of its one-bedroom apartments at a monthly rate of $650. For…

A: Total apartments = 250  Monthly rate = $650   Let x = number of times rate increase by $10

Q: So what happened to the 1/2 in front of the ln(x^2)

A: I understand what you are asking .

Q: Where does the line x = 3 + 1, y = 8 -1, z = 21 intersect the cylinder x² + y² = 121? Enter your…

A: We have to find the coordinates.

Q: Estimate I (a) Left endpoints. I≈ 5 = √ (4.2² + 4x + 1) da using n = Sº (b) Right endpoints. I≈ 3…

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Q: ist

A: Given Graph:-

Q: Use an iterated integral in polar coordinates in the order SSR dordr to find the area of the right…

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Q: Using first principles, determine the derivative of y=3x² +4x.

A: Ans: f'(x)=6x+4 For detail ....go through the solution

Q: 1 (Q5.) If y = is a one-parameter family of solutions of the first-order DE (1+c₁e-2) y = y-y². Find…

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Q: 2. point Find the largest interval on which the Existence and Uniqueness theorem for hi order linear…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Determine which value best approximates the area of the region bounded by the graphs of f and g.…

A: Topic = Area

Q: Find the derivative of y with respect to x. 1 ( 16 ) y = In x√√x+6

A: The function is given by y = ln1xx+6 To determine: The first derivative of the function.

Q: Find the differential of the function. y = 0³ sin(60)

A: Given,            y=θ3sin6θTo find : Find the differentil of the function.

Q: For the limit lim, (x3 - 3x + 2) = 20 3 illustrate the definition by finding the largest possible…

A: We have to find the largest possible values of δ.

Q: Write an iterated integral for R bounded by y = 5√√x, y = 0, and x = 32 using a. vertical…

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Q: Suppose that in the interval 6 ≤ ≤ 18 you know that the graph of y = f(z) falls as you move from…

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Q: 4. Evaluate π S [(cos² t)i + (sin² t)j + (tan² t)k]dt

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Q: Find the sum of the infinite geometric series 54+18 +6+2+ 213 2/9 +=+

A: The geometric series is;  54+18+6+2+2/3+2/9+...

Q: 11) In the generic version of the exponential function, what do the parameters a, b, c, and d do to…

A: We need to write down about the parameters a,b,c and d.

Q: part b and c are incorrect for my homework. is there another way this can be done? I tried working…

A: b.

Q: dy Compute if dx y = = (e²+7³) cosh5 (ln x) (π + e)e²+ cot-¹(5x²)

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Q: The height of a cylinder is seven times its radius. Find a function that models the volume V of the…

A: Given:  Height of the cylinder is seven times its radius.   We are required to find: Function that…

Q: sketch the curve, Find :  a) domain  b) intercepts (x and y)  c) symmetry

A: As per rule I need to solve only first 3 subparts.

Q: Identify the open intervals on which the graph of the function is concave upward or concave…

A: we have graph of a function  f(x) :-then we have to find the interval in which function is concave…

Q: Use l'Hôpital's rule to find the following limit. lim (In 5x - In (x + 6)) X→∞ lim (In 5x - In (x +…

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Q: This exercise is based on the following data on four bodybuilding supplements. (Figures shown…

A: The solution is shown in step-2

Q: Let E be the region bounded above by x² + y² +2²= 10², within a² + y² = 12, below by the xy plane.…

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Q: Find the absolute minimum and absolute maximum values of f on the given interval. (Enter your…

A: Given : f(x) = x − ln (8x)  on  (12 , 2)   To find : absolute minimum and absolute maximum values of…

Q: (b) Find the co-ordinates of the turning points of the following function: y = 3x4 16x³ + 24x² - 12…

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Q: If g(x) = 시일이었 -기 find lim g(x). x→0+

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