Answer B True False The derivative of the function y=x²log (1-x²) is x² y=2xlog (1 - xảy - 2 1-x

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A: Given query is to find the value of the integral.

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A: Let's find.

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

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A: Let's find.

Q: Let f(x) = 25 x The slope of the tangent line to the graph of f(x) at the point (–6, – 25) is The…

A: All the answers are given below

Q: 2 The √tan x secxdx is {A} tan³/2x-tan7/2x + C {B} tan³/2x + ² tan7/2x + C {C} tan5/²x + tan7/²x + C…

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Q: B. The maximum value of f(x) is h. OC. The graph of y = f(x) is a parabola. D. If a 0, then f has a…

A: Topic:- calculus

Q: 4 1. y = cost-sin ¹ t 2. y = (2 tan² 20-1)/²

A: Given : 1) y= cos4t-sin4t2) y=2tan22θ-112   To Find : Derivative of the given functions.

Q: Σ n=2 7 n(In(n))*

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Q: using least cost method

A: The total cost using least cost method is Rs 284

Q: C. Find the angle coterminous to the given angle that has the opposite sign. бл 1. - 7 2.-258°

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Q: Question 9 Find the simplified form of the derivative of y = Š Oy= 3 csc 3 CSC (3x) 3 csc 3z = cot…

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Q: Find the Taylor series for f centered at 9 if f(n) (9) = (-1)^n! 2^(n + 1) n = 0 What is the radius…

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Q: 3. Solve the linear system below using Cramer's Rule. a+b+c+d=13 2a + 3b c = -1 -3a + 4b + 2c + d =…

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Q: In the triangle below, BA=u and BF=v. Express each of the following in terms of u and v. a) CD b)…

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Q: 6. Evaluate any 5 of the following 6 integrals. (a) 12 dx 1 (b) (c) cos(50) de (e) [x²e² dr (d) (f)…

A: To evaluate the following integrals.d ∫xx+1 dxe ∫x2ex dxf ∫arcsin x dx

Q: find dy/dx of each equation using implicit differentiation. a. (x+y) / (x-y) = y2 b. 2xy - y2 = 3

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Q: Determine whether the series converges absolutely, converges conditionally, ges. 4n Σ(-1)", n³+1 n=2

A: Use alternating series test for checking the convergence .

Q: 2) A curve is such that dy e3x dx ey and the point (0,0) lies on the curve. Find the equation of the…

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Q: Approximate the local minimum value of the function given below. Use Newton's method with the…

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Q: Determine an and as for each arithmetic sequence. See Examples 3 and 4. 23. 5, 7, 9,... 24. -3, -7,…

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Q: 7) Relative to an origin O, the position vectors of the points A and B are given by OA P (-) and OB=…

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

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Q: Determine whether the improper integral diverges or converges. 6° x²ex dx converges O diverges…

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Q: Grace invested $5,200 in an account paying an interest rate of 4.6% compounded daily. Assuming no…

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Q: 5, i, Evaluate the first and second derivatives of the function z=2x4+3x3+2x-5 when x = 4.

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Q: Determine the behavior of the functions defined below. Note that it is common to write "g(z) → oo"…

A: The given function is;  g(x)=-10x3+5x2+5. Repost the next parts.

Q: 3.In 2 X 3x + 1) = ² ₁ X ‚ y'

A: Let us consider the expression, ax+by=c Using Implicit differentiation on both side we get,…

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A: answer is in next step

Q: The proper transformation for sin²x to make the f sin²x dx readily integrable is {A} 1- cos²x {C}(1-…

A: Given the query is to find the correct option of integral.

Q: \1/2 2. y = (2 tan² 20-1)

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Q: 1) Calculate the following integrals 1_dx a) S 4x²+25

A: Given; I=∫14x2+25dx    .....(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: Sketch a function that is continuous on (-∞0,00) and has the following properties. Use a number line…

A: We need to choose correct options for graph of f'(x).

Q: Let z = g (x, y) = x³ + xy³ + y4 - 6x - 2y + 4, where x = r cos (0) and y дz Use the chain rule to…

A: We will use chain rule to find the derivative

Q: Determine whether the improper integral diverges or converges. S™× x²e-x dx converges diverges…

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Q: A 10-ft ladder is leaning against a house on flat ground. The house is to the left of the ladder.…

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Q: The cos³dy is {A}-sin+sin³+C 3 3 3 4 {B} sin¹-sin³+ C 3 4 3 4y (C)-sin-sin³+C {D}sin+sin³+ C

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Q: Consider the function f that is continuous on the interval [-5, 5] and for which ff(x) dx = 4.…

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Q: ^ du 1 1+2 Sinn

A: Solving the given integral using the substitution method Also using the formula for the integration…

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Q: The function given is the population change per year of bald eagles in America P'(t) = 0.21t²…

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Q: B. Assume that f(x) dx = 3 and g(x) dx = -2, find the following: 26. [f(x) + g(x)]dx = 27. [2f (x) -…

A: Part B,Given,            ∫13fxdx=3 and ∫13gxdx=-2

Q: Sketch the region R and evaluate the iterated integral f(x, y) da. [²²-² (1 - 2x + 8y) dy dx y y 2…

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Q: ANSWER

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Q: The f sin x cos x dx is not equal to {A} -cos 2x + C {B} sin²x + C {C}-{cos²x + C {D} sin 2x + C

A: A detailed solution is given below

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. 2 YA a. f*…

A: solution is given below..

Q: Evaluate fi fi fi (xy+z)dxdydz Note: input your answer in two decimal places (example: 1.05, 2.53,…

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Q: A. Solve the following Systems of Non-Linear Equation 1. Use any of the Analytical Solution Methods…

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