Find the area of the given region. y = sin(x) R|C I

Q: Let f(x)= 4x²-19x-5 x² +11x-80 (A) lim f(x) X-5 Find the indicated quantities, if they exist. (B)…

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Q: b) 2 1 dx x ln x

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Q: The partial fraction decomposition of the rational function 3 2x + 5x²

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

Q: Write the system of equations 3x 2y4z = -3 5x + 5y + 4z = 1 - 4x + 5y + 4z = 3 as a matrix equation,…

A: Given: equations: 3x-2y-4z=-35x+5y+4z=1-4x+5y+4z=3matrix equation is AX=BA[xyz]=Bwe can write the…

Q: Question then the range of f is the interval [0, 12]. Select one: O True : If f(x, y) = 3√/16 - x² -…

A: This question can be solved using the concept of domain and range of multivariable function.

Q: Determine whether the conversard or arguil Gre your divergend. Justify @ 1 + 1/8 + 2/27 + 2/64 t...…

A: Note: Since, the student has clearly mentioned to solve only question no. 1, so we are solving…

Q: Evaluate f √x² - 16 8 -dx

A: use the substitution method for solving the integral.

Q: Find the radius of convergence, R, of the series. Σ n = 1 R = | 1 Ο μ 2 5 8.. · (3η – 1) Κ Find the…

A: The solution is given below

Q: If A(3, 2, 9) and B(-4, 7, 2) are two points in 3-space, then find the vector AB. a)  AB= (-7, 5,…

A: If A(3, 2, 9) and B(-4, 7, 2) are two points in 3-space, then find the vector AB.

Q: 6. If z = x + iy = (x, y), then the equation z²+z+ 1 = 0 is written as (x,y)(x, y) + (x, y) + (1,0)…

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Q: To evaluate the integral /VF² we use Select one: x² +9dx Substitution with x = 2 tan 0, where -T 7…

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Q: Let y= 3x2 +7x+4. If Δx=0.4 at x=2, use linear approximation to estimate ΔyΔy

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Q: 9 Evaluate f 99√x 30-x2 -x² 2 dx.

A: ∫4999x30-x322dx

Q: ind f. f ″(x) = −2 + 24x − 12x2,    f(0) = 2,    f ′(0) = 18

A: We can solve the given equation.

Q: Find the angle between the vectors in radians and in degrees. (Round your answer for part (a) to…

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Q: d. graph y = f(x-2) e. graph y = f(x)+3

A: We have to draw graph as instructed in question.

Q: r(t) = ti + (2tt2) intersect the paraboloid (2) At what points does the curve r(t) z = x² + y²?

A: We are asked to find the intersection point.

Q: 1: Evaluate the integral 3x - 1 (x + 4)(2x - 1) I -dx.

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Q: Let f(x,y)=- lim f(x,y)? (3) (4.4) lim (x,y)→(4,4) This option Which of the following is true about…

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Q: r(t) = (−2 cos (2t), 3 sin (3t), In (2t)), then the fr(t)dt is equal to 3 Cos cos 4 where C is a…

A: Given:    rt=-2cos2t,3sin3t,ln2t then  ∫rt dt =∫-2cos2t,3sin3t,ln2tdt…

Q: 4. fx(2x - 1)'dx

A: This is a problem related to integration. Please find the general procedure given below. As per the…

Q: (ii) Calculate the iterated integral by first reversing the order of integration. S. St yer² 0 Vy x3…

A: Given double integration ∫01∫y1 y ex2x3  dx dy

Q: Compute the following: fcos (x) sin(2x) dx

A: Given: ∫cos2(x)sin(2x)dx

Q: Evaluate: lim 8118 x6x² + x²-1 8x6 + 4x³ + 10

A: see below the calculation and answer

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 +6, (3, 1) Vf(3, 1) = 2i+…

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Q: Which of the following is a valid expression for cos ¹ x? 04-sin-¹ a 01/2+ + sec¹ a 1 sec-1 01-…

A: The given expression is cos-1(x)We have to find the valid expression for cos-1(x)

Q: Let f(x) = 1 x² - 16 Where does f(x) go as approaches 4 from the left?

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Q: Find the indefinite integral using any method. (Use C for the constant of integration.) 5x + 6x (x²…

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Q: Find the derivative of the vector function, r(t) =

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Q: Question An equation of the plane passing through A (1, -1, -1), B (1,0,2), and C (-1,-1,-5) is:…

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Q: What is the equation of the line tangent to curve defined by x + 4y² = 17 at the point (1, -2)?…

A: equation of line tangent

Q: Evaluate the limit using L'Hospital's rule 1 lim 12xe 12x x →∞

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Q: 11. Determine whether the given quadratic function has a maximum value or a minimum value, and then…

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Q: If  f(x) = 4/x and g(x) = 6/x, find f(g(x)) and g(f(x))

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Q: Evaluate the integral using the following values. [³x³ dx = [²x dx x³ dx = 1,020, Lºx dx = 30, [³dx…

A: use the property of definite integral.

Q: What is the instantaneous rate of change at x = 2 of the function f given by 2x f(x) O O 4 -2 H N -…

A: What is instantaneous rate of change at x=2 of the function f given by   f(x)= 2x/x-1

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: A) f(-1)-f(-2) (-1)-(-2) QIn parts (A)-(C), find the indicated quantity for y=f(x)=4-x². = N

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Q: Suppose that f is a differentiable function defined on the whole real number line R and that the…

A: Given: A 'fx' is a differentiable function for x∈ℝ.  Ory = fx…

Q: 8. Use the graph of the function f to find the following: 13 (-5,0) 4 -3 -2 -1 (-3,-2) 3 2 H (-1,-2)…

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Q: Given the matrices A B. If my possible = not possible 0 1 3 -2 and B A. It is Select an answer to…

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Q: Equations with the Dependent Variable Missing For a second-order differential equation of the form…

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Q: The domain of the function f(x, y) 3xy 2+√4x2+y2-16 is:

A: Given :fx,y=3xy2+4x2+y2-16

Q: Find dy dr dy dr for y = ㅇ 2 5+ 6t dt.

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Q: An equation of the plane passing through A (1,-1, -1), B (1,0,2), and C (-1,-1,-5) is: 2x+3y-z = 0…

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Q: Determine the area of the shaded region bounded by y=-x² + 10x and y=x² - 6x.

A: Follow the procedure given below.

Q: 2) Find the indefinite integral by using the method of partial fractions: 3x+5 x²-9x+18 S- -dx

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Q: the answer is 3+6N but i dont know why, so please go step by step/explain how you get that answer.

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Q: 18. If A = 6 a. d. 14 5 0 10 10 1 14 0 01 7 0 b. 0 11 16 C. 8 9 12 14 3577 NOV00 7 572 7 6 7 1 2 61…

A: In this question we have to multiply Matrix.

Q: The domain of the function f(x, y) None of these This option D= {(x,y) = R² + +1} This option. D=…

A: We want to find the domain.