Suppose w = x = cos? t, y = sin? t, z = dw Evaluate at t = 3 , by using the Chain Rule dt

Q: Evaluate the iterated integral. 5 cos(r + y +:) dz dx dy

A: We know that integration of sinx is -cosx + c  and integration of cosx is sinx + c.       Here i…

Q: A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + c…

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Q: Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I =

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Q: Use the Two-Path test to show that the following limit does not exist. (Use y=x2) lim (x,y)→(0,0)…

A: Using Two-Path test we will evaluate.

Q: Find the directed distance from the given line to the given point. (-1, 6) (5, 4) (10, 8) (1, 2)…

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Q: Compute the derivative of the function y = 6 cos- (4x) at the point x = (Use symbolic notation and…

A: Solution ) y = 6 cos-14x Differentiate with respect to x  y' = 6 d/dx (cos-14x) [ we know that  d/dx…

Q: Suppose a product's revenue function is given by R(g) is units sold. - 6g? + 200g, where R(g) is in…

A: To solve the following problem

Q: Use Green Theorem to Evaluate yx'dx – x*dy where C is left half of x² + y = 25 77.7704 O 78.7712 O…

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Q: Find the dy/dx of the parametric equations given: x= 2t² – t and y= t³ – 2t – 1

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Q: Where is each function continuous? (b) f(z) = sin (1-r) I+3 (c) f(r)= In (d) f(r) = 12+5r +6

A: Topic:- function

Q: Find a power series for the function, centered at c. 1 h(x) 1 C = 0 8x' h(x) = n = 0 Determine the…

A: We have to find the power series and interval of convergence.

Q: ||r(t) × r"(t)|| Use the formula k(t) to find «(t). 3 r(t) = e%i+ ej %3D K(t)

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Q: dy Compute the derivative y' dt 2t – 9 - y = 5t 2

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (ë, g) = | (?,?) y = z

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Q: 20. Find the area of the region bounded by the curver=8 cos 20. С. 12л A. 16π В. 32л D. 8t

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

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Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

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Q: 5. Find a Taylor series expansion around x = 1 for f(x) = 6. Without solving the exact answer,…

A: 5) The Taylor series formula around x=1 is:…

Q: SAQ 4.1 Taylor's Theorem Name: Year & Course: Date: Instructor: 1. Find a Maclaurin series expansion…

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Q: Three equally sized corrals are constructed next to a river. if the area to be enclosed is 19600…

A: Use concept of minimizing of fencing

Q: Problem 6. The area A of a triangle is given by A=ac sin B, where B is the angle between sides a and…

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Q: Given the following functions: f(x) = cos(x) 17 g(x) : = X + 1 Find f(g(x)) and (f(x)). (Use…

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Q: The Leslie matrix below describes a population with four age groups consisting of juveniles,…

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Q: _ア-1 x² - 1' y(2) = 2 dx

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Q: Find the average value of the function z() = 4t sin(2) on the interval [0, ]. %3D Select the correct…

A: This is a problem related to integration of the function. Based on the general formula we will…

Q: Evaluate the iterated integral. 6 7 8 /// (x² + y² + z²) dxdydz -6 0 0 6 7 8 (x² + y² + z?)dxdydz i…

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Q: Find u v. = (9, 2) v 3 (-8, 4) V: U V D

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Q: P(x) Let P(x) and Q (x) be polynomials with the degree of Q (x) greater than the degree of P(x) and…

A: Here we have given that P(x) & Q (x) be polynomial such that degree of Q(x) is greater than P(x)…

Q: Let y1(x) and y2(x) be solutions of the linear differential equation with constant coefficients…

A: To find  the possible solutions of given differential equation.

Q: 125 and y = 10. y? y = x, x =

A: answer is in next step

Q: Find the inverse of the function. f(x) = 9-2x^3 f^-1(x) =

A: THIS QUESTION CAN BE SOLVED USING THE CONCEPT OF INVERSE OF FUNCTION.

Q: dz (е) dz

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Q: 2.1 Find the value of x and y from the given complex equation (-2+ i)x + 2y =1+ 3i. 2.2 Write the…

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Q: Compute the derivative of the function y = 7 sin¬'(x) at the point x = (Use symbolic notation and…

A: A detailed solution is given below

Q: Evaluate the double integral over the rectangular region R. / 8xy°dA; R = {(x, y): – 1 < x < 1, – 7…

A: Given:       ∬R8xy6dA   R=x,y: -1≤x≤1 , -7≤y≤7        ∬Rfx,ydA=∫ab∫cdfx,ydydx…

Q: 17-22 Use appropriate forms of the chain rule to find əz/du and əz/əv. I 17. z 3D 8x*у - 2х + 3у; х…

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Q: Find the solution of the following linear ODE given that y(5)=3 dy Зу = (x – 4)² х—4 dx

A: Use integrating factor for the differential equation.

Q: 2.1 Find the value of x and y from the given complex equation (-2 + i)x + 2y =1+ 3i. 2.2 Write the…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t? + 4 1 lim 5t2 + 6 7t (?,?)

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. 5…

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Q: Indicate whether the following statement is true or false. The function f (x) = |x| is continuous at…

A: Solve the following

Q: 1. F'(x) = 2x ; F(1) = 2 2. F'(x) = 4x +1; F(2) = 6 3. F'(x) = 3x² + 2 ; F(-3) = -32 4. F'(x) = 4x³…

A: Apply integration both side with respect to x

Q: Assuming x E Z. Prove 2|(x – 6x + 5) → 2}x a|b b = ke Z a 6. = 2 € Z 3 3|6 is True because 4 3+ 4…

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Q: Find the slope of the tangent line to the curve y = (1+ 4x)7 at the point x = 2. %3D

A: Slope of the tangent line is obtained by just derivative of the function  wrt the independent…

Q: d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly…

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Q: В. 5. We let y(t) be the position function. What is the position function? A. p(t) = - 16t2 - 100 t…

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Q: 2 2-y Mote: Complete lirst for X, them or Y.

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Q: Jav f(u) /2x² + 12dx takes the form (и)du.

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Q: fast

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Q: 44. Find the derivative of loga u with respect to x. a. log u du/dx b. u du/ln a c. loga e/u d. log…

A: Given data÷