dx 2. o (x-1) 5

Q: Solve the initial value problem. 4 y(x) = 4 sec(3.xr) tan(3x) ; y(7) = 3

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Q: Evaluate the definite integral. Write your answer in terms of . (y +1) dy

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Q: 6. (ax3+ bx2+cx) dx= 2b | x2dx where a,b and c are constants. -9 A) True B False

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Q: Solve the problem. dV The growth rate of a certain stock is modeled by = k(25 - V), V = 20 when t=…

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Q: Find an equation of the tangent plane to the given surface z = x sin(x + y) at the point (-1, 1, 0).

A: Given,  z=x sin(x+y) ⇒x sin(x+y)-z=0 Let f(x,y,z)=x sin(x+y)-z Recall: The equation of the tangent…

Q: The values y (in billions of dollars) of U.S. currency in circulation in the years 2000 through 2007…

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Q: V19+r* dt , find f'(C

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Q: Write the first 4 terms of the sequence. a1 = 5, an = - 8• an -1+9, for n> 1 What is the first term?…

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Q: Find the surface area of the part of the cone x2 + y = z between the planes z = 3 and z = 8. Express…

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Q: Solve the problem. A conitant force F 10+ 30J. moves an object from the point P= (6, 4) to the point…

A: Given  F=16i+30j             P=(6,4) & Q=(3,18) To find work-done:

Q: Find the exact average value fave Of f(x) = V4 - x between 0 and 2, then find an exact number c in…

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Q: Question 30 Find the curvature k and radius of curvature R for the curve at the given point. y = cos…

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Q: Q3) Apply the logarithmic differentiation to find the derivatives of: x+1 y=(sinx-x)**

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Q: 5. lim X-0 e2x-1

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Q: Write an iterated integral for J dA over the region R described to the right using R a. vertical…

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Q: Optimize Z= In(4x2 - 24x + 2y2 - 20y) optimize the function. Find Zx, Zy, Zxx, Zyy, Zxy. Comment…

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Q: A) S sin edo b)S sec edo )Side Ssec?eddo E)S cos ede

A: We have to find the integral

Q: ピ+5 1 lim t+oo 5t2+6' 8t

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Q: et dz V1-e2x

A: Given problem:-

Q: (2+금) 3 29 7. Suppose that lim In Fill in the boxes for the corresponding equation -- - - '(2+금)% n…

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Q: Given the function, f(x) = 5 – x using a Riemann sum, estimate the area of the region between the…

A: Given problem:- Given the function,   f(x) = 5-x using a Riemann sum, estimate the area of the…

Q: Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid in the…

A: Volume

Q: Find the third degree Taylor polynomial centered at 2 for the function f(x)=e²* + 3.x .

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Q: I. Evaluate the following antiderivatives. tan (VT) + 2 1. TE (sec(/r) – cos(/#)) dx Cos(V))

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Q: Given a function f(x, y) = In(9 – x² – y²). (a) Find and sketch the domain of the function. (b) Find…

A: Given function f(x,y)=ln(9-x2-y2 )

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: Here,  0≤x≤4-yy≤z≤8-y0≤y≤4 To change the order of integration to dx dz dy to dz dy dx

Q: dr 5. 1 r+3

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Q: Evaluate the integral directly by integration with respect to x and y. 4 x= (y/4)+ 1 4x - y -dxdy 4…

A: We have to find the value of the double integral ∫04∫x=y4x=y4+14x-y4dxdy Since dx present first in…

Q: If 39 | f(z)dz = 7 - 89 and - 39 g(x)dx = 25 89 and 39 | h(x)dæ = 32 89 what does the following…

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Q: Express the limit lim E (4 cos (272;) + 6)A¤; [2, 4] over as an integral. n- 00 i=1

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Q: Find the 73rd derivative of the function f(x) = 2 sin(x). f (73) (x)

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Q: Find the equation of the tangent line to the curve g(x) = 5x2 - 6x +2 at the point (1, 1).

A: Use equation of  tangent line

Q: I need help with question 7

A: Volume

Q: 9) Given a piecewise function below 1 D)-2y/ n f(x) =] (1– x)× e -k (x>0) , Find lim f(x) = (x= 0)…

A: As we know from the the limit rule: If the limit is limx→afxgx and its result of the form of 1∞ then…

Q: Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed…

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Q: What u-substitution should be made in order to evaluate the following integral? dx (6x² + 4)* u =

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Q: pls help me out thanks integral

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Q: Write an iterated integral for d. dA over the region R described to the right using R a. vertical…

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Q: Find the sum, if it converges. Σ6 i= 1 The sum is (Type an integer or a simplified fraction.)

A: In this question we have to find the sum if the series is converges.

Q: Solve the differential equation for general solution dy = - dx V y = 14x + C O y = /14x + C, or y =…

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Q: Solve the initial value problem y' = xe ; y(-1) = 3

A: We can solve the initial value problem as below.

Q: 1 Given Rn 7+i- cos 7+ i- , express the limit as n → ∞ as a definite integral, n i=1

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Q: Find the unit tangent vector to the curve at the specified value of the paramet r(t) = 4 cos(t)i + 4…

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Q: Evaluate / (x- 16)dA where Ris the region in the first quadrant enclosed between y = xand y = x².…

A: ∬Rx-16dA where R is the region in the first quadrant enclosed between y=x and y=x3

Q: Find the first term and the common ratio for the geometric sequence. Round approximations to the…

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Q: Problem 3.4 Parameterize the following surface. Then, integrate the given function over the…

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Q: VI 23) Consider the region in the second quadrant between the ciréies X²+y?=4ard x?7y==25 ?-25, and…

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Q: Find the area of the region enclosed by the curves y=x2−1 and y=8.

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Q: Find the general solution of the equation. Express the solution explicitly as a function of the…

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Q: farctan(6y) dy: Consider the integral 1+ 36y2 This can be transformed into a basic integral by…

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