Which of the following is the result of differentiating both sides of the equation xsin y = 2 ln x + 2y² with respect to x?

Q: Use synthetic division to find the function values. Then check your work using a graphing…

A: Use synthetic division to find the function values  f(x) = 3x5-4x4+3x3-3x+8 , find  f(18) and f(-3)

Q: Direction: Understand the situation and answer the questions that follows. Show your detailed…

A: Probability.

Q: Which of the following double integrals will NOT give the volume of the solid bounded above by z = 2…

A: The simple double integration... Find out area

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: Given the piecewise function below, find the value of k which makes the function continuous. f(x) =…

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Q: Determine the local maximum and local minimum if exist. b. Find the inflection point if exist.

A: Solve the following

Q: Solve the initial value problem y"+y=f(t), y(0)=y'(0) = 0, (21 2t if 0 1

A: Here is the solution of the given problem. We solve this problem by using Laplace transformation

Q: Let g(x) = 2 f(u) + 3 where . u = x² + 2x. What is the derivative of g with respect to x? ○ 2. f'…

A: Given that, the function is gx=2·fu+3 and u=x2+2x. By the chain rule formula ddtFut=F'ut·u't.

Q: Consider the following demand function: Step 1 of 2: Find the elasticity function. Answer E(x) = p =…

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Q: Evaluate the function f(x)= -2x+8 at the indicated values. a) Find f(3). b) Find f(-2).

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Q: slope the line that passes through the given points. point-slope form of the equation of the line.…

A: We will solve the problem.

Q: Find the general solution of the given differential equation. y’’+2y’-8y=0 topic: complex roots of…

A: Explanation of the answer is as follows

Q: Suppose you start with one liter of vinegar and repeatedly remove 0.13 L, replace with water, mix,…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Compute A B, where A = AB= -5 6 -5 0 and B = 6 7 2 9

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Q: Which of the following double integrals will NOT give the volume of the solid bounded above by z = 2…

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Q: y' = X y+x²y , y(0) = -2

A: Given differential equation: y'=xy+x2y, y0=-2To Find: solution of the differential equation

Q: = A) Prove that eie = ei(0+2x),where k = 0,±1, +2,....,

A: In order to prove, consider right hand side and simplify appropriately.

Q: Find the angle between the vectors. (Round your answer to the nearest degree.) a = j + k, b = i +4j…

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Q: x= 2y2-2y y 0 x = 12y² — 12y³ - X 1

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Q: Find the angle between the vectors and .

A: Given vectors a=-2i-j+3k b=2i+j-3k

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Here we have to check the convergence of given sequence

Q: A cell culture contains 10 thousand cells, and is growing at a rate of r(t)=11e0.06tr(t)=11e0.06t…

A: A cell culture contains 10 thousand cells, and is growing at a rate of r(t)=11e0.06tr(t)=11e0.06t…

Q: The definite integral that will give the area of the region R using VERTICAL strips is +2 ° ³* ((2²…

A: Explanation of the answer is as follows

Q: identify the equation of the curve that passes through the point (0, 1) and who tangent line has…

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Q: Q3: A) Prove that eie = ei(0+2x),where k = 0,±1, +2,.....

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Q: 2.1-dx 3.J12x³dx

A: Here we use formula of integration.

Q: tions: Solve for the derivatives of the following function. Write the letter of the correct answer…

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Q: A. Find the determonant of the matrix A 2 1 -21 -1 -2 -1 4 3 132 2 1 1 2 2-31 ܝܪ ܠܕ ܬ ܨܐ 1

A: To find the determinant of the matrix A=121-2-1-2-142132-212-3.

Q: Solve the given differential equation by separation of variables. dy e5x + 4y dx =

A: Given :dydx=e5x+4y

Q: Suppose you know that: • f(0) = - 18 f(1) = -17 • ( f (y) et dy = 10 Evaluate: [ = f'(t) et dt

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Q: where t is time in seconds and the dimensions

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Q: b) Give the augmented matrix associated to the system of linear equations above. Answer: ab sin (a)…

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Q: Find the solution of the given initial value problem. y’’+4y=0,     y(0)=0, y’(0)=1 topic: complex…

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Q: The graph of f(z) is given below. Which of the following statements about f(z) are not true? Note:…

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Q: 2. Stan.xdx

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Q: Given the following piecewise function, evaluate lim f(x). x→2 -x² - 2x - 2x² - 1 f(x) = -2x² - 3x +…

A: Explanation of the answer is as follows

Q: R: x² + 3y = 4 and x – 2y = 4.

A: The region is bounded by the curve x2+3y=4 and x-2y=4

Q: Evaluate the integral. dx x216x + 65 NOTE: Enter the exact answer. + C

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Q: Let T be the triangular region with vertices (1,0,0), (0, 1, 0), and (0, 0, 1) oriented with…

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Q: e- ed ence RULING AND SOLVING! 1. Review the basic concepts of Basic Rules of Differentiation. 2.…

A: Given

Q: 1. Evaluate the lim [In (x)] using table of values. Table A (for x values that approaches 1 from the…

A: SOLUTION-

Q: a. lim (3x - 5) x->-1 b.lim x² -9 xxxx²²-4x+3 2 x²-9 c.lim XX x² - 4x +3 2

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Q: 3x²y dx - (x³ + y³)dy = 0, y(1) = -2

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Q: integral (Integration by parte ) [xln x

A: We will solve the problem

Q: mal ty "THE Y PRIME" Determine the derivative of the given functions. 1. Consider the quadratic…

A: Since you have posted multiple questions i can do first question but you mention P4 so i do question…

Q: Find the equation for any horizontal asymptotes for the function below. f(x) = 5-8x+x² 4+5x+2x²2² CO…

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Q: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

A: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

Q: A) √2 [² /4t² + 1dt

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Use the geometric series formula 1 ∞ x³ 1 - = Σy to express the function as a series: n=0

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Q: Make the u-substitution 2 sin x = 2u 1+u²' COS X 1- u² 1+ u² and dx = du 1+u² to convert the…

A: Using substitution evaluate integral