Find the area inside the curve r = a(1+sin theta) and outside the curve (r =a sin theta). 6:01 PM

Q: If z = y + f(x^2-y^2), where f is differentiable, show that y(∂z/∂x) + x (∂z/∂y) = x.

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Q: For the function y =f(x), it was found out that f(c) = 0 and f'(c)=5. What can be said that x-c ? cr...

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Q: (-2) = –3, g'(-2) = 6, (f g)'(-2) = 15. Find g(-2) %3D

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Q: Find F'(x) if F(x)= e^(-x^2) * x^(sin(x^3)) Use logarithmic differentiation

A: topic - logarithmic differentiation

Q: x2-9 3.) f(x) = x2+3x

A: Here, the given function is: f(x)=x2-9x2+3x⇒f(x)=(x-3)(x+3)x(x+3)⇒f(x)=x-3x⇒f(x)=1-3x

Q: Suppose 1 aj = 2 3 4 5 1 az = , as ', a5 = 2 – 2 3 3 4 - 4 5 - 6. 6. | a) Find an explicit formula f...

A: Given: a1=12-12, a2=23-13, a3=34-14, a4=45-15, a5=56-16, For (a), So, now the explicit formula is an...

Q: Consider the function f : R → Rj, f(1) = (x – 4)°. Complete the following: fis because the equation ...

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Q: Write a chain rule formula for the following derivative. dw for w = f(x, y, z); x = g(r, s, t), y = ...

A: w=fx,y,z ; x=gr,s,t, y=hr,s,t, z=kr,s,t

Q: A depositor opens a new savings account with $5000 at 8% compounded semiannually. At the beginning o...

A: Let's find. 

Q: Match the sequence with the given nth term with its graph. 10n %3D n + 1 10 2- 8 4. 主十 2 4 6 8 10 -1...

A: topic - sequence and series

Q: Find the corresponding position vector. Define the points P = (10, 8) and Q = ( -1, -7). Find the po...

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. nk - 1 k> 2 ...

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Q: Let R be the region bounded by the inner loop of the limacon, r = 4/3+8 sin 0 as shown in the diagra...

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Q: Write an inequality with x isolated on the left side that is equivalent to the given inequality. Mx ...

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Q: Q4 Let f : R → R be the function defined by 1 f(x) = a) Is f is one-to-one? If yes, then explain why...

A: topic - onto functions

Q: Find the taylor polynomials of orders n = 0,1,2,3, and 4 about x=x0, and then find the nth Taylor po...

A: Given : taylor polynomials of orders n = 0,1,2,3, and 4 about x=x0, Pn(x) for the function in sigma ...

Q: S sin(3x + 2) cos(1 – 4x)dx

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Q: 5. Find the critical point or points for eorh of the following outonomous system. Then match each pa...

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Q: Let f(-6) = -5 and f'(-6) = 7. Then the equation of the tangent line to the graph of y= f(x) at r = ...

A: Given query is to find the equation of the tangent.

Q: Determine the amplitude, period and displacement for the given function, and sketch the graph of the...

A: Function y=32sin2x+π6 is given.We have to determine amplitude, period and displacement for the given...

Q: Let W = F(x , y , z) be a function such that Fx(0 , 0 , 0) = -1 , Fy(0 , 0 , O) = 3 , F2(0 ,0,0) = -...

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Q: Express the vector in the form ai + bj + ck. PĮP2 if P 1 is the point ( -6, 3, 6) and P 2 is the poi...

A:  A vectoe  from point A(x1 ,y1,z1) to  B(x2 ,y2,z2) is given as AB→=(x2-x1)i+(y2-y1)j+(z2-z1)k

Q: Find the Maclaurin polynomials of orders n = 0,1,2,3, and 4, and then find the nth Maclaurin polynom...

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Q: Entering PIN code from the ATM account. Combination Permutation

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Q: Find all the first order partial derivatives for the following function. fx, y, 2) - ze (ху) O af ze...

A: ∂ex∂x = ex.

Q: Approximate the area below the curve y = (x) from x = 1 to x = 3 by using 5 right endpoints rectangl...

A: Given:   Curve y=12x2            y=x22  From x=1 to x=3 Area using 5 right endpoints rectangles:  ∫a...

Q: 1 Evaluate | (x²sin y- xcos(y))dy O 2sin y-3cosy + C 6 -3sin y+2cosy +C 6 x2(1- cos(1)) – xsin(1) + ...

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Q: For all x ≥ 0, 4x − 9 ≤ f(x) ≤ x 2 − 4x + 7. Find limx→4 f(x). ⇒

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Q: A=1, D=0, U=0 ((A v D) · (D v U)

A: Here is the solution

Q: Let f(x) = 2x° + 20x + 3. a. Find the values of x for which the slope of the curve y=f(x) is 0. b. F...

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Q: Fnd the stope-intercept equation of Ine L tirongh (4,1) and parallel to the line 4x-24 =5.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 1. A sphere is inscribed in a right circular cone whose slant height has a length equal to the diame...

A: I am attaching image so that you understand each and every step.

Q: 2e" dx (e – 1)2 1

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Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent...

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Q: Question 8 A -tan(61) + C B 6tan( 61) + C B Ltan (61) + C D - tan

A: The given integral is sec2(6t).

Q: Direction: Determine the type of error committed of the following problems and explain why. Write yo...

A: As per the instruction, we will be answering only the first one. For (a), Statement: Maria insists t...

Q: ne demand function for a company's product is p = 24e-0.59 where g is measured in thousands of units...

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Q: Use sigma notation to write the Maclaurin series for the function. 2sin Ax 2(-1)'+1 (2k + 1)! k-D0

A: Given function is f(x)=2sin(πx) Use Sigma notation to write the maclaurin series of the given functi...

Q: Suppose that (a, } is a monotone sequence such that a, S11 for all n. Must the sequence converge? If...

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Q: an=(tan-1(n))/n, limn->infinity an=?

A:    limn→∞ arctannnlimx→afxgx=limx→afxlimx→agx,   limx→agx≠0=limn→∞ arctannlimn→∞ n=π2∞ Apply Infinit...

Q: Find the sum of the convergent series. 1 8- 1+ 8. 64 Submit Answer

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Q: Find the derivative of each function by using an appropriate differentiation rule. 1) f(x)=3x^3 - 4...

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Q: 8. in n = 1

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Q: 2e" dx (e® – 1)2 1

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Q: 4. Use the method of undetermined coefficients to find a particular solution to the system below. Pr...

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the fun...

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Q: Find the limits of the functions below a) limr-3 x* sin x b) lim,

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Q: Given f(x,y)=x2eXy, evaluate fx(3,0).

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Q: 1. Find the area of the largest circle which can be cut from a square of edge 5in. What is the area ...

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Q: Question 6 evaluate Sa dx A -sin2x +C B -cos2r + C 2cosx + C 2sinx +C

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