(m) y = f (n) y = f x +3 V1-x² dx x² + 10x + 30 2 -dx.

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A: Given: Shane and Abha are collecting cans and bottles. Each can earns = $1 Each bottles earns = $2…

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Q: Use integration by parts to evaluate the integral: [2³ ln(z)dz = [

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method take

Q: Given that the graph of f(x) passes through the point (4, 10) and that the slope of its tangent line…

A: ginen slope is  2x+7 passes throught  (4,10)∫xndx=xn+1n+1+cslope =f'(x)=2x+7

Q: Find the function g(z) satisfying the two conditions: 1. g'(x) = -4096 - 1³ 2. The maximum value of…

A: To get maximum value of g(x) we put, g'(x)=0 So, x³= -4096 So, x= -16 is a critical point of g(x)

Q: a. A rectangular pen is built with one side against a barn. If 200 m of fencing are used for the…

A: NOTE: Refresh your page if you can't see any equations. . the answers for the first part are already…

Q: xsec xsecxtanxdx

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Q: Find an antiderivative G of g(z) G(z) = 3 - 1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the absolute maximum and absolute minimum values of the functia f(x)= x³ - 6x² - 63x+7 over…

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Q: 3. Chapter 15 Review 37: Convert to spherical coordnates and evaluate: 4-x² LENT 4 x² - y² e-(x² +…

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Q: Evaluate the integral dx (3x + 5)²' by making the appropriate substitution: u = dx (3x + 5)² 11

A: ∫xndx=xn+1n+1+c

Q: Find the Taylor series generated by fat x = a. f(x) = 4x + 2x² + 3, a = − 3 The Taylor series…

A: We need to find Taylor series.

Q: For the demand function q=D(x)=700/x​, find the following. ​a) The elasticity ​b) The elasticity…

A: Given, The demand function q=D(x)=700/x​,

Q: The angle of elevation to the top of a Building in New York is found to be 6 degrees from the ground…

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Q: 7. Make a substitution to express the integrand as a rational function (a quotient of polynomials)…

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Q: 7. Determine whether the given sequence converges and if so, find the limit. 1-n³ 70-4n² a) an =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: SS (√x + √y) dA, R: 0≤x≤ 1,0 ≤ y ≤1 R

A: The given integral, ∬Rx+ydA, R:0≤x≤1, 0≤y≤1 We have to evaluate this integral. Use the formula…

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Q: Use linear approximation to approximate 1.1 to 6 decimal places

A: GIVEN :1.13

Q: Question 2 ▼ A 10 foot long ladder is leaning against a wall. If the top of the ladder is sliding…

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Q: Find the nth Maclaurin polynomial for the function. f(x) = ex, n = 5 Ps(x) =

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3. Graph the function =) lim f(x) x-1 Evaluate. If the value does not exist, explain why. a) lim…

A: NOTE: Refresh your page if you can't see any equations. .

Q: The vector v has a magnitude 13 millimeters and a direction of 84 degrees. Find the magnitude of its…

A: The magnitude of a vector v→ is  v→ = 13 mm The angle is, θ = 84° To evaluate: the magnitude of the…

Q: Solve the FIRST ORDER LINEAR D.E Linear in y y' = x³ - 2xy → when x = 1, y = 1

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Q: - sin 50 Find all tangent lines at the pole of the graph of. r = -

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Q: ) = ť² + 2t − 1 and y(t) = t³ + 2t + 2? ect the correct answer below: There are not inflection…

A: We will find the required.

Q: Find the area of the region bounded by the line y = 4x, the curve y = Area = √405 x and the x-axis.

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Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: The given curves are: y=ex,     y=0,     x=-1     and     x=1

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Q: a. Determine whether the Mean Value Theorem applies to the function f(x) = ex on the given interval…

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Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or…

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Q: Find a non-constant function f(x)f(x) such that its average value over the interval [1,5][1,5] is…

A: The answer is given below:

Q: Solve the FIRST ORDER LINEAR D.E. Linear in r sin 0 dr de = -1 - 2rcos 0

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Q: Suppose the derivative of a function f is f'(x) = (x + 1)4(x − 3)(x - 5)6. On what interval is f…

A: given function is    given that , derivative of a function is f'(x)=(x+1)4(x-3)7(x-5)6 for critical…

Q: The first derivative of a continuous function y = f(x) is y' = (6x-5x²) (3-x)². Find y' and then use…

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Q: Estimate Ay for y=2x² +8x+2 at x = 1 and Ax=0.4. Round to 3 decimal places.

A: Given,            y=2x2+8x+2 at x=1 and △x=0.4To find : Estimate △y, round to 3 decimal places

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Q: State whether the given sums are equal or unequal. Σf ² and 1² j=1 k=1 O Equal O Unequal

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Q: Given that the graph of f(x) passes through the point (3, 3) and that the slope of its tangent line…

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Q: A function F(x) is called an antiderivative of f(x) if

A: Our Aim is to tell when does a function F(x) is called an antiderivative of f(x)=?

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A: we need to graph the polar coordinates and have to label them.

Q: A 114 ft tower is located on the side of a mountain that is inclined 43 degrees to the horizontal.…

A: Givenheight of the tower ( H ) = 114 ft let a = horizontal distance between point and base of the…

Q: When f is the function defined by 2x - 5, x ≤ 1, 1, f(x) = S 5x 52 – 9,

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Q: Use integration by parts to evaluate the definite integral: 97.18 In (8r+4) dr = 8.92 HINT: You…

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Q: 2. y = -2 cos(2x)

A: To sketch the graph for one period and to to determine the amplitude and period for the following…

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A: Let's solve given differential equation.