QUESTION 1 (3 points) Find the derivative. s = sin t-e-t Ods = cost- e-t dt Ods =-cost-e Ods = -cost + e-t dt Ods = cost + et dt QUESTIONO

Q: K Find the indicated derivative and simplify. log 7X y' for y= 8 + x

A: y=8+x7log7​(x)​Getting the derivative, we have:y′=dxd​(8+x7log7​(x)​)In here, we need to apply…

Q: 6. Find the volume of the solid that has base R = {(x,y)|0≤x≤5,0≤ y ≤7} and ceiling given by z = 21.…

A: Step 1:​Solid that has base R={(x,y)∣0≤x≤5,0≤y≤7} and ceiling given by z=2x.​Step 2:​Volume of solid…

Q: Write the standard form of the equation of the hyperbola subject to the given conditions. Vertices:…

A: In the given, when we plot the vertices of the hyperbola, we form a horizontal line, which means…

Q: Solve 2sin^2(t)-sin(t) - 1 = 0 for all solutions as 0 < (t) < 2pi

A: The objective of the question is to find all solutions for the trigonometric equation…

Q: Let z= CSC y y3 Choose the correct form for the derivative and fill in the values of the letters A,…

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Q: Consider the function f(x) = 9 x3 - 6 x5 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

A: If you have any questions let me know in comment box thankyou for your question.

Q: Find the steady state solution for the following heat equation with Dirichlet boundary conditions…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval. f(x) =…

A: Step 1:To find the absolute maximum and minimum values of a function on a given interval, follow…

Q: [-15.26 Points] DETAILS MY NOTES LARCALC12 15.2.074. ASK YOUR TEACHER PRACTICE ANOTHER The ceiling…

A: If you have any questions let me know in comment box thankyou for your question.

Q: Please follow directions and solve this calculus 3 problem by hand show all work please. (don't want…

A: Step 1: The given integration function is ∫∫R​xydAThe given limits are:3≤x≤10,8≤y≤9Step 2: Let us…

Q: Find the indicated area 1. Inside = √2cos & and 2. Inside the Curves 3. Inside the Curves 4. Inside…

A: To solve each of the given problems involving polar curves and finding the indicated area, we need…

Q: Do question 11

A: Step 1: Step 2: Step 3: Step 4:

Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C.…

A: ( if you have any queries please feel free to ask me).

Q: Find the average value of the function over the given interval

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Q: Set up a double integral to find the volume of the solid region bounded by the graphs of the…

A: Step 1:​Region is bounded by the surfaces:z=16−x2−y2z=16−4x​Step 2:​Bounds for…

Q: Given v=51-] and w=31+5j, find the angle between v and w. The angle between v and w is (Do not round…

A: If two vectors are given by, v=ai+bj and w=ci+dj, then angle between v and w is given…

Q: Below is the function f(x). 6- 4 3 2 1 -7-6-5-4-3-2-1 12 3 4 6 -1 пр * -5- -6 Over which interval of…

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Q: Σαπ M n=1 an = Σ n=1 3n+n 6"+In(n) We want to use the limit comparison test to determine whether…

A: Step 1:  Here given series is ∑n=1∞​an​=∑n=1∞​6n+ln(n)3n+n4​ Step 2: Here noted that in numerator…

Q: K Recently, a certain bank offered a 10-year CD that earns 2.86% compounded continuously. Use the…

A: (a) Value of the $20,000 Investment After 10 YearsThe formula for continuously compounded interest…

Q: Show all work read question carefully

A: Page 1 Page 2 Page 3

Q: [0/11.11 Points] DETAILS MY NOTES LARCALC12 14.4.023. PREVIOUS ANSWERS Find the mass and center of…

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Q: Compute the flux of the vector field (x², - xy5), out of the rectangle with vertices (0,0), (5,0),…

A: Step 1:If the vector field is given as which along the curve with some region and also the…

Q: Given L (-3x+10)dx Rewrite the definite integral as the limit of an infinite sum (using a right…

A: Step 1:I=∫15​(−3x+10)dx​Step 2:​Using Riemann…

Q: Use Green's Theorem to evaluate t F= √x+5y, 4x+5y) rd F.nds, where C C is the boundary of the region…

A: Step 1: Step 2:

Q: K Use the figure to find the exact value of the following trigonometric function. cos (2a) cos (2a)=…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Consider the initial value problem: y' = cos 2лt, y (0) = 1 Use Euler's method with five steps to…

A: Step 1: Step 2: Step 3: Step 4:

Q: 20. Determine the angle between a = (5, 3, 0) and b = (-1, 0, 8) 21. The vertices of a quadrilateral…

A: Step 1: In order to determine the angle between a=(5,3,0)&b=(−1,0,8) lets use the dot product…

Q: Let F = (e4, sin³ x, cos x). Calculate curl(F). curl(F) =

A: Step 1: Step 2: Step 3: Step 4:   thanks....

Q: [0/4.76 Points] DETAILS MY NOTES LARCALC12 14.3.055.MI. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE…

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Q: I need help with this problem and an explanation for the solution described below:

A: The objective of this question is to find the area of the surface obtained by rotating the curve y =…

Q: A fluid has density 1200 kg/m³ and flows with velocity v=x+yj + zk, where x, y, and z are measured…

A: The given problem states that a fluid density 1200 kg/m3 and it flows v = xi +yj +zk. The x, y ,and…

Q: Using the ratio test

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Q: DATE: NO. 2. Find the tangent line of r= cin (40) cos(6) at Write In the form y = mxt b 6

A: Step 1: Step 2: Step 3: Step 4:

Q: 1 Given that 1 ― X = n= find the power series for n x" with convergence in (-1, 1), 1 6 - X with…

A: Step 1: Step 2: Step 3: Step 4:

Q: Use Euler's Method with the given step size Ax to approximate the solution of the initial-value…

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Q: < Verify the identity. cos't- sin* t=1-2 sin² t Which of the following four statements establishes…

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Q: Please check this for me

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Q: Let f(x)=1+1. (a) Find the arithmetic average of the values fƒ(½³½³), ƒ(½³½³), ƒ(½³½³), ƒ(¼½½), and…

A: c) To find the average of the values of f(x) on the interval (2,3), we need to integrate f(x) over…

Q: 6:48 Done d◇ -5 -4 -3 w myopenmath.com AA -3 -4 -5- 5 4 + -1 Ө -2 -3 -4 a. b. (x(t) = t + cos(t)…

A: Step 1:Step 2: Step 3: Step 4:

Q: Find the surface area of the part of the plane z = 6 + 7x+5y that lies inside the cylinder x² + y² =…

A: To find the surface area of the part of the plane ( z = 6 + 7x + 5y ) that lies inside the cylinder…

Q: Do only question 17

A: The Cross-Partial Test is a criterion used to determine if a vector field is conservative.It states…

Q: ← Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A: Step 1:Step 2:Step 3:

Q: What lump sum investment will grow to $58,000 in 5 years if it is invested at 12%, compounded…

A: Step 1:We have to calculate the present value to get the amount of lump sum investment. The formula…

Q: Do question 12 only

A: The given in item #12 is:∫04π​​∫01​∫0x2​xcos(y) dz dx dy Consider the innermost…

Q: H.W integrate the following 5x13 1. (x-3)(x-2) x + 4 3. (x + 1)²

A: Problem 1:We are using the method of partial fraction decomposition to integrate this function.…

Q: Find 0 0 7x 2 cysin(x + y)dxdy

A: The objective of the question is to find the double integral of the function 0.07x^2 cos(sin(x + y))…

Q: Evaluate SSF FdS, where F and S is the helicoid with vector equation r(u, v) 0<u<4, 0 << 2π with…

A: Step 1:

Q: 1 = Given that with center 5. - x ∞ 1 x with convergence in (-1, 1), find the power series for 7 x…

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Q: Consider the function f(x) = 3x³ – 5x on the interval [-5, 5]. Find the average or mean slope of the…

A: Step 1: Step 2: Step 3: Step 4:

Q: For 100 (y+3)2-64(x+7)² = −6400, (a) Identify the center. (c) Identify the foci. (e) Graph the…

A: Graph: