By using the substitution z = cos y, show that the differential equation dy cot y dx X can be reduce to dz Z dx X =e¹ csc y Hence, solve the original equation when y(1) = 0.

Q: Find a bound for the error in the approximation T20 to the given integral (but do not calculate…

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Q: Use the comparison theorem with f(x) = = 1 √x to show that [₂²= 1 √x-1 is divergent.

A: See this solution in below

Q: ГО Г0 1 3 2 -а 1 2 123 b 1 3 1 0 1 0 0 3. C Ld. 324 [5]

A: 0132212313101003abcd = 3245 from this find a,b,c,d using gauss elimination method using this method…

Q: If sin(0) and is in quadrant I, find the following: 7 Give exact values. No decimals allowed! cos(0)…

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Q: Evaluate the integral: J 3 хе x³ e³x dx

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Q: Watch... Q Consider the graph of f(x). 201 16 12 8 0-1 0 1 0-2 The University of N... O 6/7 02 (4,…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: Given:    f''(x) = 4    f'(2) = 11    f(2) = 16

Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(2rs, s² - 6r). Use the table of…

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Q: myopenmath.com/ Write an expression in factored form for the polynomial of least possible degree…

A: Solution :According to graph it has 4 roots.so least possible degree of 4.yx=kx+4x+1x-2x-4graph…

Q: Find d²y/dx² implicitly in terms of x and y. 4xy 5 cos(x) = -9 d²y dx² || X

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Q: (1) -dr x(x + 1)

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Q: 2x²+5 1. Answer the questions below and then graph the rational function: f(x) = x²+x-2 a. Vertical…

A: To find out the vertical asymptote, vertical asymptotes and also make the graph.

Q: /2 (e) [™¹², sin(x) cos(x)dx

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Q: Complete detailed solution. What is the derivative of 1 1(x) = (2+²+ -x)(-+1+√x²) x+1

A: To determine the derivative of fx=12x-2-x-1+x4x+1

Q: The indicated function y(x) is a solution of the given differential equation. xy"+y=0; y₁=In(x) Use…

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Q: The function f(x) = ,30 ≤x≤ 100, models the tax revenue, f(x), in tens of billions of dollars, in…

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Q: 7. Evaluate x²+2 + (x − 1)(x − 4)(x+2) - -dx.

A: ∫1ax+b dx =1alnax+b+C.

Q: accompanying C. Replace row 2 by its sum w (Type an integer D. Scale now 1 by at should be the first…

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Q: Find the Consumer's Surplus corresponding to q=900 units. (Do no rounding of results until the very…

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Q: solve for exercise 11, provide full and complete procedure

A: topic:- application of integration

Q: Calculating Second-Order Partial Derivatives Find all the second-order partial derivatives of the…

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Q: Σ k=0 (-1) k 5k + 9 The number of terms that must be summed is (Round up to the nearest integer as…

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Q: +∞ Σ n=1 (x + 1)" 3°/m² + 1

A: Given Power series,∑n=1+∞x+1n3nn2 + 1

Q: 7 If f(x) = x² + 10x and g(x) = - X find f(x) · g(x).

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Q: Find the area of the region that lies inside both curves. r = 2 + cos(8), r = 2 - cos(8)

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Q: Q1. Shreya went to a fair in her village. She wanted to enjoy rides on the giant wheel and play…

A: In the first part we will use the given conditions to make a linear equation representing the…

Q: [4 - x - x² if x 5 Use a graph to determine the following limits. Enter DNE if the limit does not…

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Q: 1 1 If g' (3) = 6 and h'(3) = 20, find f (3) for f(x) = g(x) +h(x). f(3) = (Simplify your answer.)

A: This is a problem related to differentiation. Please follow the general procedure given below.

Q: - Simplify: sin(x)tan(x)=1- 1-cos²(x) cos (x)

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Q: 1. Find the exact val a) sin 3π 2 b) cot (210°) c) sec (-765°)

A: topic:- trigonometry  note:- As per our guideline if more than one question posted than only first…

Q: Σ k=1 3k! k Choose the correct answer below. A. The series converges absolutely. B. The series…

A: The given series is: ∑k=1∞3kk!kk Now, it is a positive term series. So, it is either absolutely…

Q: 23: Solve the initial value problem 2√ = cos² (y) and y(0) = 2. lease write your answer in the form…

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Q: Consider the following table of values of the functions f and g and their derivatives at various…

A: Aim: Dxf(g(2)) We know that,…

Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total…

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Q: Identify the zeros of f(x) = (x + 8) (x + 6) (x − 3) and their multiplicity. with multiplicity of…

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Q: 1²-29x + 5 dx (d) / (z − 4)² (z ² + 3) d (x

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Q: 4. Set up an iterated double integral equal to the volume of the solid in the first octant bounded…

A: Solution is given below:

Q: Find the directional derivative of the function at the given point in the direction of vector v.…

A: The objective of the question is evaluate the directional derivative at the given point and…

Q: We are trying to prove a certain limit. Once we have specified & in terms of &, one of the steps in…

A: If 0<x-8<δ, then -4x+32<ε

Q: Find the general solution of the differential equation. y(5) — 11y(4) + 29y"″ − 11y" + 28y' = 0.…

A: Let's solve given diffrential equation.

Q: Given the functions f(x)= x^2 -2x+1 and g(x) =5x-4 determine:       (a) g(4) -g(3).   (b) f{g(2)}

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Q: If a pebble is dropped from a height of 46 ft., its position after t seconds is given by the…

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Q: If 0 = sin(0) = 1 3 cos(0) = .π₂ then Enter exact values. No decimals allowed!

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Q: 10. Prove: cos²(x)-sin²(x) =sin² (x) 1-tan²(x)

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Q: Prove that if A is an invertible matrix and B is row equiva- to A, then B is also invertible. ation

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Q: e differentiation to find a power series re f(x) = Σ( n = 0 1 (4 + x)² s the radius of convergence,…

A: We have to find the power series of the given function and radius of convergence according to the…

Q: Find a differential equation whose general solution is 9t = C₁e⁹t + c₂e-5t. y = = 0

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Q: (d) tan¹(x)dr

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Q: Evaluate the integral: r+∞ 1 dv v²+2v-3

A: We will find the integral.

Q: Find the general solution of the differential equation. y (4) + 2y"+y 3+ cos(4t). NOTE: Use C₁, C2,…

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