Given that the graph of f passes through the point (1,9) and that the slope of its tangent line at (x, f(x)) is 2x + 1, find f (-3). f(-3) =

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Q: 5. Which of the following represents the volume of the solid formed by revolving the region bounded…

A: Given that y=x3,y=1and x=3, about the line x=3.Using washer /disk mathodr=3-y13r=Radius of…

Q: I. Use the definition of the Laplace transform, using improper integrals, to find the Laplace…

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Q: Find the curl of the vector field F curl F = (2y cos(x), 5x sin(y))

A: F = (2ycosx , 5xsiny) find curl F =?   curl F  = dF2/dx - dF1/dy here  F1 = 2ycosx  F2 = 5xsiny now…

Q: رح 3 2 + + + + 32 - 2 -3x+2) 22م dx

A: I have stated the used formulas in the solution

Q: If F(x) = 3x4 is an antiderivative of f(x), find Provide your answer below: [(-5f(x) – 5x³) dx.

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Q: Find the line integral of the vector field F= over the curve C which is the quarter of the unit…

A: We have to find line integral from point (0,1) to (1,0)

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Q: Find the critical points of the given function. 5. f(x) = 2/3+2/3 +x-2/3 6. f(x) Va 7. f(x) (3x +…

A: Given: 5)     fx=14x43+x13+x-23 After simplifying we get     fx=14x43+x13+1x23 Critical points:…

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Q: Solve the following initial value problem. Provide your answer below: f(x) = ƒ"(x) = 36x² + 6x – 10,…

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Q: • Find f' (-1) for f(x) = (3x + 2)² in each of the following ways: • Create a table of secant slopes…

A: Solution is given below:

Q: Question 20 (5 points) Find the limit. 00 ∞ 5 0 -15 Question 21 (5 points) Find the limit. 0 1 00…

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Q: A. ſºf(x)dx = B. If the vertical red shaded area in the graph has area A, estimate: ſ'ƒ(x)dx = (Your…

A: The graph is given as ,

Q: Evaluate € 11/² 2xz dV where E = {(x, y, z) | 2 ≤ x ≤ 3, x ≤ y ≤ 2x, 0 ≤z<x+3y}

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Q: Match the equation with its graph. r(t) = cos(nt)i + sin(лt)j + t²k, Need Help? + 2 Z -2 Read It N₂…

A: Given problem:- r(t)=cos(πt)i+sin(πt)j+t2k  To find:- Draw the graph of given curve

Q: performance-enhancing Suppose that a test for drugs is 85% accurate (It will correctly detect 85% of…

A: Given that a test for performance-enhancing drugs is 85% accurate. Suppose that 5% of the 1600…

Q: Find the following for the given equation. r(t) = 8 cos(t)i + 8 sin(t)j (a) r(t) = (No Response) (b)…

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Q: Find and classify the critical points of f(x,y) = 4r+20² - y²

A: Find and classify the critical points of f(x,y)= 4x+2x2-xy2.

Q: -- 1 |_ g(x,y) dydx = x=0₁_y=√x

A: Sketch the region of integration and switch the order of integration of the following integral. Do…

Q: If f(x) = 2x-7 and g(x) = x² - 9 then go f= a) 2x - 7 b) (2x-7)²-9 c) 2x²-25 d) none of these 1.a…

A: Finding g(f(x))

Q: Find the partial fraction expansion of the rational expression 2x³ + 3x²2 - 22x - 60 x² x - 12 -

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Q: c) [. The intersection of the sphere B and the xz-plane is (x - 2)² + (z + 1)² 2)² + (z + 1)² = 9.…

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Q: Find the derivative of F(y). Select the correct answer. F( y) = sinh y tanh y F' (y) = sinh y sech y…

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Q: 9. If = 1, 4, 5) and W = (2, -3, 1 V ( − w a) 3-2W b) |v|

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Q: es (x²+bx+c)² dx

A: As per Bartleby guideline, only the first question has been answered in case of multiple questions.…

Q: This is the approximate time right ? Making the no. of days from feb to aug into 30, by that logic…

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Q: The equation of the plane that passes by P(-1, 2, 1) and that is perpendicular to the line x - 3 1-…

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Q: The matrix B is the result of performing a single row operation on the matrix A shown below.…

A: Given matrix A=-1374-4-12

Q: According to the ideal gas law, the pressure P, temperature T, and volume V of a confined gas are…

A: To find out the change in pressure using the differentials.

Q: lim 0-4 In[(1 + h)² + 1] - ln(2) y

A: To evaluate the given limit .

Q: Use the given triangles to evaluate the expressions. Rationalize all denominators. √√2 A 1 45° 1 5)…

A: We know that cos θ=Adjacent sideHypotenusecos 60=12

Q: Determine whether the series is absolut Σ n = 1 sin(n) 57 O absolutely convergent conditionally…

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Q: Given that the graph of f passes through the point (1, -5) and that the slope of its tangent line at…

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Q: Calculate the mass of the sphere x² + y² + z² ≤ 4, the density at the point p(x,y,z) is proportional…

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Q: Evaluate the ff (show all steps) dx (4-x²) 3/2 √

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Q: Find all solutions of the equation in the interval [0, 21). cos²x = 1+ sinx Write your answer in…

A: Topic = Trigonometry

Q: Find the radius of convergence, R, of the series. R = n = 2 I = (x + 4) 4" In(n) Find the interval,…

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Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-2, 8) for…

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Q: Find axb, a vector orthogonal to both vectors a' and b. a = (-3, 2, 1) and =(4, -2,5)

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Q: Find dy/dx by implicit differentiation. √xy = x5y + 56 dy/dx = X

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Q: Sketch the region enclosed by the curves and find its area. Enter the exact answer. Area = y = 5x²,…

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Q: Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for DNE…

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Q: Find | 22 x²z ds, where C is the line segment from (0,4,-6) to (2,9,-5)

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Q: Part 2. Integration by substitution Solve the following integrals through video presentation. √x+1 x…

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Q: J (2) Ten thousand dollars is invested at 645 intrest Compound Continously. → when will the…

A: We can find the required time as below.

Q: 5 Laplace transform, solve y" - 4y' + 7y = 0 y(0) = 3 , y'(0) = 7

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Q: ries of f(x) = lor series. =0 =0 =0 (−1)²+1 (-1)²+¹ (-1)". 1 (x-7)" 8n+1 (x (x − 8)¹+1 7" E(-1)", =0…

A: We have to find the Taylor series from the given condition and also indentify  the valid interval

Q: a) Sketch the region enclosed by y = x² sin(x) and the x-axis from x = 0 to x = π. b) Find the area…

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Q: 2. J īdx 3 (x+2)+-(x+2)²

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