Which of the following integrals is equal to ( 3x – 5) dx if u=3x – 7? (A (u) du / (u+2) du B © :/ (u+2) du 8/3 D | (u-2) du

Q: Write the interpolating polynomial f(x) that passes through the points: 2 4 y 3 4 10 1 (a) Write the...

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 7x², x = = 1, and y = 0,...

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Q: of dr? e-ex

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Q: 5. y = xArctanx - In V1+x

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Q: Question The position of a hummingbird flying along a straight line is given by the function s(t) = ...

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Q: find the second derivative of y = x In x A 1/x в) 1/2х D) 2x

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Q: Question 7 Which of the following is an improper integral? (А) -dx -4 x2-x - 2 --X In (3e) xe cos (x...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Solve the differential equation by using integrating factors. xy' = 3y + x2

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Q: The doubling period of a bacterial population is 15 minutes. At time t=110 minutes, the bacterial po...

A: The exponential growth of a bacterial population is given by, A=A0ert, A0 is the initial population ...

Q: d?y =6- 9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation of the curv...

A: Given problem:- Find the equation of the curve for which and d2y/dx2 = 6-9xwhich passes through the ...

Q: ng - 0.25t measures the concentration, in of a drug in a person's system t hours after the drug is a...

A: Goven,             Ct=49.2te-0.25t measures the concentration in ngml, of a drug in a person's      ...

Q: d?y -=6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1) ...

A: We will do this question by checking the conditions for the given options.

Q: True or False: In the partial fraction decomposition, A D + x + 3 x + 8 В x(х — 1)(х + 3) х — 1 - we...

A: (x+8)/x(x-1)(x+3) = A/(x-1) + B/(x+3)+D/x A(x+3)(x) + B(x-1)(x) + D(x-1)(x+3) Ax2 + 3Ax + Bx2 -Bx + ...

Q: Now, suppose this is actually the graph of g'(x). Answer the following questions about the function ...

A: As per the guidelines when multiple sub part question are posted in single pic then we are supposed ...

Q: 2) Let r(t) = (t, t² , e'). Find an equation for the unit tangent vector T(t).

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Q: Given Cost and Revenue functions C(q) = q° - 11q +51q + 5000 and R(q) = - 3q +2400q, what is the min...

A: Given query is to find minimum marginal cost.

Q: Calen Given revenue and cost functions R(g) = 90g - 0.3g and C(q) = 12g + 600, find the maximum prof...

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Q: ng If C(t) = 50t e - 0.2t measures the concentration, in of a drug in a person's system t hours afte...

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: 4. y = x0sx

A: Take the logarithm then take derivative twice. 

Q: 1.n f csc n? de y2 - 2y + 3 2.5; Vy - 3y: + 9y – 21 dy

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Q: 1 Let an = n > 3. nVlnn (a) Show that the sequence {an}3 is decreasing. (b) Without computing any li...

A: If integral value is finite then sequence is convergent otherwise it is divergent. 

Q: By substitution u = x² + 5x, the definite integral (2x + 5) ln (x² + 5x) dx becomes Select one: O No...

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Q: Find the solution of the differential equation with the given initial condition. dy 2xez? y(1) = 2 d...

A: This question is based on solution of differential equation.

Q: P where E is voltage and R is resistance. Approximate the maximum percent error in calculating power...

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Q: Show that y1(t) = et and y2(t) = e−3t form a fundamental set of solutions for y'' +2y' −3y = 0, then...

A: If y1(t)  and y2(t) are two solutions to the differential equation                   p(t)y''+q(t)y'+...

Q: (4) Let S be the surface parametrized by I =r cos 0 y = r sin e 2 = 30 where and 0<r< 4 Evaluate the...

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Q: Does the graph of the quadratic function f(x) = -9x2 + 5x + 2 have a relative minimum value at its v...

A: Given problem:- Does the graph of the quadratic function f(x) = - 9x2 + 5x + 2 have a relative minim...

Q: S- 10 -dx may be written as Aln secB* + tanB" +C. where A, B, and C are constants not equal to zero....

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. ...

A: This question can be solved using the derivative of function of function.

Q: 1. f (x) = 5x – 4 2. f (x) = 4x? + 3x – 6 2x+7 3. f (x) = 3x

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Q: 2 dx tan x(5+ln sin x)

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Q: 5/ 2 Vx 4. f (x) 4-3x ||

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Q: substitution x = tan 0, then, the integral dx 1 + x2 transforms into tan 0 sec 0 d0 Select one:

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Q: The parametric curve x= 414 + 412 + 1, y= 5t 3 – 5t has two tangent lines at the point (9, 0). Find ...

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Q: Find the derivative of y = 3sin2x A 6 sin x B 6cos2x с) 6sec2x

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Q: A vector function is given as A = R3R cos() What is the numerical result of fy (V A)dv over the hemi...

A: Solution

Q: 2. cot(8)·cos(0) · sin(8)

A: Given: cot(θ)·cos(θ)·sin(θ)

Q: Consider the function g(x) - (x- 2)-3. Sketch the graph of f(x) - x and the graph of the function g....

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Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?. where k is a positi...

A: The given question has been solved in detail.

Q: 3. Show that among all rectangles with an 8 meter perimeter, the one with the largest area is a squa...

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Q: 3х - 4 dx Evaluate the definite integral. Give exact answer

A: This question can be solved by first integrating the given function and then putting the limits to g...

Q: x"(t) + 9x(t) = 5sin (2t) when t = 0, x = 3,x' = 1

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Q: TT(e-1) В. 2.

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Q: f(x) – f(1) - If f(x) = log2(x) , then lim a-1 (A) in(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:49 PI

A: We can solve the question as below

Q: Section 4.1 p. 363/365 # 40 Solve the following initial-value problems starting from y(t = 0) =1 and...

A: We have to solve the initial value problem and draw solutions.

Q: Question 1 A stone is thrown vertically upward from the top of a house 112 feet high. If it was thro...

A: We need to find time when stone passes top on its way down.

Q: a) Find the length of the curve y(x) = x3/2/3- a/2, 3< x < 4. b) Find the area of the surface obtain...

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Q: Given revenue and cost functions R(q)=80q−0.3q2 and C(q)=13q+600​, find the marginal profit at a q...

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Q: 2. Use the Integral Test to determine if the series Σ (n+2)¾ 1 n=1 converges or diverges.

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