Suppose that the function fis defined as follows. f(x) = - 1 0 1 2 3 Graph the function f. if -2.5 < x < -1.5 if -1.5 < x≤-0.5 if -0.5

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A: The objective of the question is determine the length of the curve given in polar form.

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Q: 2. (x² + y² + 1)dx + x(x − 2y)dy = 0

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Q: 27. Consider the function h(x) = 2x² e-x² a) In two or three steps, write the properly simplified…

A: As per our guidelines, we are supposed to solve only 3 subparts. Kindly post other parts in the next…

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A: We have given a center and radius of sphare

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Q: INTEGRATION OF 1/1+TANX

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Q: Find f', f", f"" for f(x) = 3r7-4r5 + 11³.

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Q: 4. Find the components of the vector with the opposite direction to that of the vector from M(2,3,5)…

A: First we need to find the vector and then find the opposite components of it.

Q: 2 -ƒ_(x−1) -dx √x

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Q: Given d = and v= -5d +30=< find-5d +3v..

A: The calculation follows easy.

Q: Find h'(x) when h(x) = (3x + 1)³, then evaluate h'(x) at the point (1,64)

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Q: 18. 19. 20. The curve y = x³ + 3x² − 2 has an inflection point at the point: a) P(-1, -2) b) P(-1,2)…

A: Use inflection point concept

Q: Test the series below for convergence using the Root Test. Σ(13) 3n+ 5 The limit of the root test…

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Q: The z-transform of [n] = u[-n] is

A: Using Z transform

Q: Given f''(x) = - 25 sin(5x) and f'(0) = 2 and f(0) = -6. Find f() =

A: In this question, we want to compute the value of f at the given point.

Q: a) Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel.

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: Using Linear Coefficients of Two Variables, solve: (2x - 5y + 3)dx - (2x + 4y - 6)dy = 0

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Q: Find T(t), N(t), aT, and aN at the given time t for the curve r(t). (Give your answers correct to 3…

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Q: Evaluate the integral. 7/4 O [(10sect)i-(3+ sin t)j - (2sec t tan t)k)]dt (2√√2-37-4 2 10i + O 10i +…

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Q: If then, find f'(x). O f(x) = ²* √e² + 1 dt, 2√e +1 O None of them. O Ve +1+ C O √e™ +1 e

A: Use fundamental theorem of calculus for finding the derivative

Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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Q: If the vectors a and b are such that a = kb where k is a positive scalar, then the vectors a and b…

A: Given a and b are vectors Such that a=kb and k is positive

Q: The alternating series En-1 (-1)" is diverge. n³ 2n³+3 True O False

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Q: The Maclaurin series of the function f(x) = 8x² sin(8x) can be written as f(x) = Σ" 72=0 where a few…

A: Solution is given below:

Q: The value of limx→0 ex-1-x x² by using series is о о -1 O 0.5 O 1 O -0.5 O

A: Solving the following limit problem,

Q: Use the Limit Comparison Test to determine if the series converges. k³ +7 k(k+ 3) (k − 2) (k+1) k=1…

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Q: x fare cos = dx 2

A: Indefinite Integration

Q: Matrix has only one row call Row Matrix. multiply a matrix (A) by another matrix (B) if the number…

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Q: R is the region bounded by the functions f(x)=3−cos(x) and g(x)=sin(x). Find the area of the region…

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Q: Solve: y" + 4y = x² + ex Yc=C1+C2. Type the letter corresponding to your answer. QUESTION 1 Yp = A +…

A: Please see the below picture for detailed solution.

Q: Find dy/dx if xy+2x+3y=1

A: Find dy/dx  if xy+2x+3y=1

Q: e ra

A: topic:- application of derivatives

Q: -arc sin y dy 5 Answer with text and/or attachments:

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Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - z = 1…

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Q: What is the derivative of y = 4 coth^-1 (9x-3)

A: Concept: Hyperbolic function derivative: As differentiation of a function establishes the rate of…

Q: (b) (c) dy dx separable 7 y-x exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in…

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Q: If a x i = 0 and a x j = 0, then Select one: O O a is equal to k a is any vector perpendicular to i…

A: We know that if two vector are collinear then their cross product is zero, Therefore 'a x i =0 '…

Q: dy = sin(x+4) dx

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Q: If the volume of the parallelepiped determined by the vectors A = i + ak, B = 8i - 5j + ak and C =…

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Q: 46×12

A: Find value of 46×12