Find y': y = ar csc(2a2)

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Q: Ay 4- 2- -> 4 -2-

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Q: Find the particular solution determined by the given condition. F(x) = 3x2 - 2x; f(O) = 9 %3D %3D O…

A: Given query is to find the solution of the differential equation.

Q: Solve the problem. Solve the differential equation model of a population growth: dP 0.5P. dt O P(t)…

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Q: If f(x) cos-(2x+5) then dom(f) = %3D a+3 (A) (-3, –2) (B) [-3, –2] (C) (-3, –2] | (D) (-1,1) (E)…

A: Given query is to find the domain of the function.

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

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Q: dx 1

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Q: Let f(x) = x - x? on 0, 1]. f(0) f(1) = Find c such that f'(c) = 0 or, if Rolle's Theorem does not…

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Q: 4- if U(x,y) = x2 + 2y and x(r, t) = r sint, y(r,t) = sin?t, au find 1- ar au and 2- at au 1- ar ди…

A: Given that,   U(x,y) = x2+2y   and x(r,t) = rsint,     y(r,t) =sin2t we have to find ∂u∂r,    ∂u∂t…

Q: f(t) 3. Find the function f and a number a such that a + dt = 2 sin x for all x greater than zero.…

A: We can solve as follows

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(In 12x) dx Cos In x +…

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Q: Find the cost function if the marginal cost function is given by C'(x) = x3 +4 and 27 units cost…

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Q: Below is a graph of f' (x), the derivative of f(x). A B D E F When is: f(x) greatest? f(x) least? f…

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

A: y'(x) =4 sec(3x) tan(3x)y(x)=∫ 4 sec(3x) tan(3x) dx3x=t,dx=dt3y(x)=43∫ sec(t) tan(t) dt     =43 sect…

Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

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Q: Solve the initial value problem. 1 u'(x) = – 2; u(0) = 1 x2+1

A: Explanation of the answer is as follows

Q: Find the rectangular equation of the curve given by the parametric equations below. Then graph the…

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Q: Find curl (4z i+ 5x j+ 9y k). curl (4z i + 5x j + 9y k) = ( Di + ( j + ( i i )k

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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: 3. f(x) = 8

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: dr 2 Vr*+3

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Q: þr+2|dx -3

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Q: Find the distance from the point to the plane. (5,7,6), 10y +z= 0 The distance is

A: We can find the distance as below.

Q: 2. By differentiation rules , evaluate the derivatives of the following and simplify as possible:…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 5…

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Q: Find curl (5z i + 6x j + 9y k). curl(5z i + 6x j + 9y k) = ( i )i + ( i )j + ( i )k

A: Given: To obtain the curl (5z i+6x j+9y k)That is to find: ∇×Fwhere here F=5z i+6x j+9y k

Q: Find a value for k that will make the given function a probability density function. f(x) = kz, on -…

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Q: 'ind the relative maxima and minima of the function y = f(x). ind the intervals of concavity up and…

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Q: Solve the higher order initial-value problem f''(x) = x-1/x + 3 ; f'(1) = 3, f(1) = 0

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Q: Find div F and curl F if F(x, y, z) = 11y"2°i – 17x"z1ºj – 6xy°k. - div F= curl F=

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Q: Use Newton's method to approximate the indicated root of the equation correct to six decimal place…

A: Here, let the given function be: f(x)=x2+ex-9⇒f'(x)=2x+ex Next,…

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: 7. Let f(x,y)=9-x² – y² a. Find the maximum value of the directional derivative at the point (1,2)…

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Q: ェ-1 %3D the x-values at which f is not

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Q: 1. [²+3x - 4)dx

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Q: Find V· (V × F), if F(x, y, z) = 3ei+ 4.xe®j – 2ev²k. V·(V × F) =

A: We need to find dot product.

Q: Evaluate the integral by making the given substitution. (5x)tan(5x)dx, u = 5x + C

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

A: We have to find maclaurian series

Q: sin a Determine the derivative of sec x sec x cos z-sin z sec tan e sec2 a O 1 1-sin x sec2 x sec2 x…

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Q: Consider the indefinite integral dx: (2² + 2)? This can be transformed into a basic integral by…

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Q: dx (х -1)3

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Q: Sketch the region enclosed by y = 4x and y = 7x². Decide whether to inte with respect to x or y.…

A: we have to find the area of the region .

Q: If g(x) is differentiable at the point x and f(x) is differentiable at the point g(x), then f{g(x)}…

A: If g(x) is differentiable at the point x and f(x) is differentiable at the point g(x), then f{g(x)}…

Q: 0y-25 +y= 2メ+3 %3D

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Q: dx (r-1)%

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Q: Find the indefinite integral. (Use C for the constant of integration.) 5 tan(7x) sec2(7x) dx

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Q: Evaluate the following definite integrals. dr 5. ? +3

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Q: Determine whether the improper integral diverges or converges. 0. -5x хе dx

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Q: Use Lagrange multipliers to find the extreme values of the function f(x, y, z) = x² +y² + z2 subject…

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