Solve the differential equation below: Find the particular solution: (D+1)^2 y=3xe^-x

Q: Solve the system. 3x + 6y - z = 7 2х - Зу + 5z %3D -11 8x + 9y – 2z = 13 The solution set is {010} (...

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Q: curve r = 5 cos(30). Set up an integral for finding the area that it encloses.

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Q: Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integral is f f(u)du. Find f ().

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Q: (-1)"+12na" n² + 3 V. Determine the interval of convergence of

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Q: The function s(t) describes the motion of a particle along a line. s(t) = t³ - 8r² + 21t – 260 (a) F...

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Q: oblem Set C 2x+3 Find the domain of the function H(x) .3 x'-4x %3D

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Q: Find the derivative of y with respect to x for y = sinh 1(11/15x). dy 165 dx 2/1815x? + 15x

A: Given query is to find the derivative of the expression.

Q: Determine which of the following expressions are equivalent. Show your method. Hint: there are two e...

A: Here we will find which expressions are equivalent,

Q: y =-1 2х

A: Given functiony=12x-1

Q: Solve the following initial value problem for y as a function of x. dy x = /x? - 16, 3x dx x24, y(4)...

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: Find the indefinite integral. (Use C for the constant of integration.) xp J xV81 - (In x)²

A: topic ,- indefinite integral

Q: 4. Insert two geometric means between 5 and 8.64.

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Q: Plot the following functions 1. v y = -x|x|

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Q: Question 4 (2x* +)x J (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, th...

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Q: Problem 2. Do both part a. and part b. Find the maximum or minimum value of the quadratic function f...

A: see below the answer and explanation

Q: nsider the following function. (x) = 2* -9 (a) Find the critical numbers of f. (Enter your answers a...

A: Topic:- calculus

Q: If the solution to fe sec (ex**)dx is equal to k tan(e**) + C, find the exact value of k 1. 2e 2e (0...

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Q: Determine the area and circumference of the following circles. 17. 18. 19. 5 in 5 in 28 cm

A: Area and circumference of a circle

Q: Evaluate f 5sinBcosede sin" 8+3sin8-4 a. 4 In (sind+4) – In (sind – 1) +C O b. 4 ln (sind- 4) + In (...

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Q: Given the the parametric curve | x(t) = t3 – 13 |y(t) = t³ – 7t dy (a) Find an expression for dæ dy ...

A: we are allowed to solve only 3 subparts of a question. Here are the solution of part 

Q: Given the the parametric curve S2(t) = ¿e4 – l y(t) 12et + 32t 1 t5 – 6t + 10 dy (a) Find an express...

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Q: Evaluate the following indefinite integrals. 1. Jx²dx 2. S(x³ + 2x)dx 3. S(a)dt :a = constant

A: Solving the problem by finding the indefinite integral.

Q: x + + x -x %3D B.s (9 C-スり(E-メ) E-トE-*ェX S. Let /(x)=x +x+1 and g(x) x-3. Find the following new fun...

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Q: The integral / 2/ ) cos(2*) dr takes the form & cosu du when u=2* and f (x) =x-5, What is the value ...

A: Firstly We have to solve the integration, then compare to given form and find k. Then We get K+2.

Q: x2 - f(x) Let k(x) = %3D 2x- 3 Find k' (-1), given that

A: Given:-k(x)=x2·f(x)2x-3f(-1)=-2f'(-1)=3To find k'(-1)

Q: Last month, Kaitlin's average daily balance on her credit card was $1,950.77. The annual interest ra...

A: minimum payment on the card is the interest charge plus 2% of the ending balance or $25, which ever ...

Q: (yex-2x)dx+exdy=0

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Q: find the function y(x) satisfying dx/dy=5x ^(-6/7) and y(-1)=-2

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Q: Solve the following differential equation dy _ x²+y² dx ху Select one: O a. y? = x?Inc²x² O b. y? = ...

A: Solving by exact differential equations

Q: Given the graph of the function f(x) = cosx, evaluate the following limits: (5 points each) 2x 3T 1....

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Q: prove that tanx V secxsinxtanx %3D

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Q: | determine the initial simplex tableau.

A: Please check the solution 

Q: der the following function. (x) = 9 - |x - 1| (a) Find the critical numbers of f. (Enter your answer...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: H.W Find the Adjoint to the following matrix 0.5 01 X = -1 1 -0.8 2.2 2 -3.3

A: Let A =[ aij ] be a square matrix of order n. The adjoint of a matrix A is the transpose of the cofa...

Q: Sy = 4 +

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Q: Find dy da Given: x² – y³ = 2xy

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Q: ie lollowing anclions 3 · y² = 6 – x %D

A: Topic = function

Q: Evaluate f (22 -1)(z2+3z+2) O a. 구미z+11+ + 흡nz-1-mlz + 21 +C ㅇ b. 글mle+11 + 1 + 습nz-11+ 옮mlz+ 21 +C ...

A: Solving the problem by finding the integration.

Q: The region enclosed by the curve y = sech x, the x-axis, and the lines x= +1In /3 is revolved about ...

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Q: Question 20 csc x du 3T If u = f(x), then dx = Compute f и sin x – cos x A B 1 D -1

A: We have to solve our question

Q: solve for x the equation 4y = 3x2 + 2x – 5 |

A: 4y=3x2+2x-5y=3x2+2x-54Let f(x)=3x2+2x-54Put f(x)=0 to solve for x

Q: Evaluating Indefinite Integrals Evaluate the integrals in Exercises 37–46. 44. (sec 0 tan 0) V1 + se...

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Q: Evaluate the expression without using a calculator, or state that the value does not exist. Simplify...

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Q: Evaluate the derivative. 6) f(x) = csch¬1(6/x)

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Q: Given the following table of values, find h' (-1) if h(x) = (x* + p(x))". -1 1 p(x) -2 1 p'(x) 2 3 -...

A: Necessary  formula: The derivative of   xn   is   nx(n−1)

Q: (2x² +)x (x8 + 4x5 + 4x²)2 Using u-substitution and transformation of the integrand, then the power ...

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Q: ential equation. ect answer below. 5-12 + C

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Q: Given: (25(x)dx e-x3 There is a function f (x) such that when u = -x³, the resulting integral is Eva...

A: topic - functions