A given partial fraction B can be evaluated as: A) 6/23 B) 7/35 C) 8/85 (D) 13/85 2x (x-1)(x+4)(x² +1) || A x-a + B Cx+D + x² +1 X+4

Q: Find the area of the region enclosed by the graphs of f(x)=x²-10x and g(x)=6x 50-64

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Q: 1. Jổ xdx xdx ull ch 2. √²2² (x²-x)dx 3. f2, xdx

A: We have to solve as per guidelines Solving by fundamental theorem of calculus

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

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Q: dw Q11- express by using the chain rule: dt w = ln(x² + y² + z²) x = cost, y = sint, z = 4√t

A: We have to express dwdtby using the chain rule:

Q: Find the absolute extrema of f(x) = x³ - 6x - 1 on the interval [-2,3].

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Q: Find the transition points. y = 3x7 - 42x6 (Use symbolic notation and fractions where needed. Give…

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Q: Derive the following function 1 1. v = x²√x + √²²³√x 2. g(r) = (r²2r)er

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Q: Suppose f'(2)=6 and g'(2) = 9. Find h' (2) where h(x) = 4f(x) + 3g(x) + 6. h'(2)=

A: Topic = Derivative

Q: Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 4), and (2, 0).…

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Q: 3. The angle between vectors A = 91-j+5k and B=(-2,7,1) is... ***** 16- 12 4. 2) shor mis

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

Q: In Exercises 1 and 2, compute the solution of the given IVP. 1. d²y dt2 +9y2 cos(3), 2 cos(3t),…

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: in the quadratic equation Ax²+BX+C =0, describe the roots when B²-4AC is negative. A The roots are…

A: As we know that; For the quadratic equation Ax2+Bx+C=0 (a). If D=B2-4AC>0,  the roots are real…

Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x -4 and parallel to the line 6x…

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Q: g(x) = 3 ln(x - 2)

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Q: R is the region bounded by the functions f(x) = -and g(x) = -. Find the area A of R. Enter an exact…

A: The region R is bounded by the functions fx=-4x and gx=4x7-327

Q: Find y" 13. y = x²sin (3x)

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Q: 4. Lim ¹G- X-0 1 Arctanx.

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Q: Arrange the choices in order 1,2,3.. to prove: For any sets A, B and C Ax (BUC) = (A x B) U (A x C),…

A: SOLUTION-

Q: A fifth degree polynomial with constant coefficients may have (1) 5 distinct real roots. (II) 3…

A: This question can be solved by using the concept of nature of roots of n degree polynomial.

Q: The region in the first quadrant bounded by the graph of y=8-x32, the x-axis, and the y-axis is…

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Q: Using Cramer's Rule to solve (if possible) the system of linear equations 1 A -10 1 B 11 N SSSUSU…

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Q: 5. y = 5 tan x³ + sec (3x)

A: Topic = Derivative

Q: Question E.) 36 Al 2+3^ 3^ +4^

A: Explained below

Q: Question 15 The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the…

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Q: 10. f3, (x²-1) dx

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Q: test if (AB) =B¹A¹ A = 4 0 L3 1 2, B = 5. 4 -3 14 02

A: We  can check the matrix as below

Q: Reverse the order of the integration ² dy dx + 2 dy dx equal:

A:

Q: Given f(x,y) = ex cos y, Evaluate fy(0,2) A cos 2 B) e² CO (D) -sin 2

A: This question can be solved using the concept of partial derivatives.

Q: 6. Find of z = In(xy) 8²y

A: Given:       z=lnxy     ∂z∂y=∂∂ylnxy  Treat x as constant  Apply chain rule:…

Q: If g'(6) = 6 and h'(6) = 19, find f'(6) for f(x) = f'(6)= (Simplify your answer.) () = g(x) + =…

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Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

A: We want to know the basic variables in the given question.

Q: 1. Evaluate the integral using atrial fractions method: 3x² -dx (x − 1)(x² + x +1)

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Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A: The given problem is solved below in detail.

Q: dy : Find the for the following functions: dx 1- y = e(x+ln 5x) 2- y = cosh-¹ sin 2x 3- y = xsinh x

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: Topic = Derivative

Q: By using Interval Halving nethod, If the lies in the nterval [1,2], e=0.02the oot of the f(x)=x^2-3,…

A: Follow the procedure given below.

Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: We can solve the given question as below.

Q: Find the equation of the tangent line to 2²-3ry + y² = -1 at (2,1).

A: Application of differential

Q: Find the antiderivative F(x) of f(x) = 8(sec x)(sec x – 4 tan x).

A:

Q: 1. d²y dt2 dy + 6- +8y=2e-3t dt 2. d²y dy +4 dt² dt +13y = e-t 3. d²y dy +7 +10y=e-2t dt2 dt

A:

Q: (-2xy) dx + (Sing-x)dy 3 7 dy + 3xy dx = x ēdx • (3x-2y + 2) dx + (3y-2x-2) dy zo (y + x² ) dx = xdy

A:

Q: Find the third Maclaurin polynomial to f(x) = e sinx

A: The Maclaurin series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+.... Where the center is at x=a=0…

Q: (b) Find the area of the region that lies inside the first curve and outside the second curve. r = 1…

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Q: Q2: A. Determine if p=i-3k and q = 61 - 3j - 4k are parallel, orthogonal or neither.

A: According to Bartleby guidelines I can only answer the first question of the two questions given.…

Q: Used Cramer's Rule to find the value of the variables (X,Y,Z) in the following equations x + 2y + 3z…

A: The objective is to find the value of the variable x, y, z by using crammer's rule.

Q: The degree of DE: (y")^2 +3y(y')+y^3 (y')^5 = 5x 02 01 05 0 3

A: Recall:  The degree of D.E. is the highest power of the highest order derivative in a D.E.

Q: Find the area of the region bounded by y²-x=0 and y²+x=2₁

A: Find the area of the region bounded by y^-x=0 and y^+x=2

Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

A:

Q: 1 2 3 4 5 ements below that you agree with. be checking more than one box. No partial credit.…

A: Topic:- calculus