If f(x) = = f'(x) = 3x (sin x + cos x), find f'(x). Evaluate the derivative at x = 4. Enter an approximation, rounded to the nearest thousandth. f'(4) =

Q: Let f be the piecewise function i. 11. f(x) = (x³ + 6x² + 8x x + 2 x 1 Sketch the graph of f. Based…

A: Solution is given below:

Q: of [ $ Example 29 a If the determinant of 5-3 3 is equal to 21, what is the value of x?

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Sketch the region R and evaluate the iterated integral -1.0 O [²L²¹²- -0.5 (12x+8y) dy dx y 3 £₁ […

A: We can evaluate the given integral by using the integral formulas.

Q: Solve the given differential equation by undetermined coefficients. y" - 2y' 3y = 12ex - 12 y(x) =

A: See  the details solution in below

Q: Find the derivative of f (y) = 9 tan (y) V 2 12 y³√√

A: To find the derivative of the below expression. fy=9tany−y2−12y3y

Q: Consider the equation below. 12 3-sin (8) (a) Find the eccentricity. e " (b) Identify the conic. O…

A: Given equation :- r=123-sin(θ)

Q: (3x²-33x+90) 5x²-10x-120

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Q: Find the derivative of f (x) = 30 6/2x+1

A: Given problem:- f(x)=-302x+16  TO Find:- Deriative of f(x)

Q: 8²f Let f(x, y) = cos(xe¹²) + cos(x + ey²), find əxəy O a. O b. O C. O d. -2yey² (sin(xe¹²) - x…

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Q: 19j isn't even an option... neither is your choices of + and - Please review possible answers and…

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Q: Evaluate the iterated integral. ITT 4ze dy dx dz

A: ∫14∫01∫0x34ze-x4dydxdz

Q: Which of the following is a power series representation of f(x) f(x) = Σ(-1)". n=0 8 x2n f(x) = Σ 16…

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Q: Use implicit ?х ਹੈ: ду = = x + y2 + z? = 6xyz 6- 6x differentiation to find əz/ax and Oz/dy. 6- 2y

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Q: Find ||FI|. F(x, y) = i + j Sketch several representative vectors in the vector field. y O O -4 -2…

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: Find the average value of the function over the given solid. The average value of a continuous…

A: Average value of the function = 1V ∫∫∫E f(x,y,z) dzdydx .

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Q: 21

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Q: 1 r= 1 + cos !

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: Given 16y''-40y'+25y=0

Q: If z = 5x2 + y2 and (x, y) changes from (1, 2) to (0.95, 2.1), compare the values of Δz and dz.…

A: We have to compare the values of Δz and dz.

Q: Let (-7, 3) be a point on the terminal side of 0. Find the exact values of Sin Ø, Csc Ø and Cot Ø

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Q: Write the sum of the two iterated integrals as a single iterated integral by converting to polar…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Jx x5/2 In(x) dx

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Q: Answer got marked wrong, please fix it.

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Q: Find all x-intercepts and y-intercepts of the graph of the function. f(x) = 2x³ + 12x² + 16x If…

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Q: Find the exact length of the polar curve. r=0², 0≤0 ≤ 6π

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Q: When I put what you circled as an answer it tells me I am wrong so what part specifically is the…

A: You need not put the whole boxed expression as your answer.

Q: Evaluate the integral. (Use C for the constant of integration.) s¯¹(x) dx COS

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Q: Use Newton's method to approximate the indicated root of the equation correct to six decimal places.…

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Q: Find the divergence of the vector field F. F(x, y) = 4x²i + 5y²j

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Q: xy³ lim (x,y) (0,0) x²+2y6, O a. Does Not Exist O b. Infinity О с. 0 O d. 1/3 =?

A: limx, y→0, 0xy3x2+2y6

Q: 1. Sketch the graphs of x = 6y-y² and x = y² - 8. Shade the region bounded between the two curves.…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Find the Jacobian a(x, y) / a(u, v) for the indicated change of variables. x = eu sin v, y = eu cos…

A: To find the jacobian.

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A: We have to find the height when the ball is thrown, initial velocity, the average rate of change at…

Q: Use cylindrical coordinates to find the mass of the solid Q of density p. ₂-(+² x² + y² ≤ 16, x ≥ 0,…

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Q: Use Newton's method to approximate the given number correct to eight decimal places. √47 1.89969104…

A: Use Newton's method to approximate the given number correct to eight decimal places.476

Q: Use polar coordinates to set up and evaluate the double integral f(x, y) = x + y, R: x² + y² ≤ 64, x…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: 6. Evaluate the following real integrals by residue theorem 3 • I- 88 151 +47 O dx (x²+1)(x² +9) ans…

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Q: -2y -2y (²²7) dx + e dy = 0 ex + x

A: Different ial eq is homogenous.

Q: Evaluate fx² Arcsinxdx

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Q: Given a = (5, 10) and p = (1, 3), find – ả + 4p. 10 - a + 4p =

A: a→=<5,10> and p→=<1,3>

Q: Solve the following ODES by Undetermined Coeff. X X A 1 3X 2 • Y -2y = 4y + 8y = 2³x + 8x² - + 2X -…

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Q: Find the minimum distance from the point (-6, -6, 0) to the surface z = O√√559 O 3√61 09 O√773 O√69…

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Q: Evaluate the function at the given value of the Independent variable. Simplify the results. (If an…

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Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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