3 2 - VX dx x² – 4 1 2]

Q: a. Determine the derivative of k(x) = (-2x* + 3x - 4)(x" – x- 1). Simplify your answer. b. What is…

A: The detailed solution is given below. Thank you

Q: ady す。e o 25+x2 メp

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Q: Solve the equation (y - (cos x)^2)dx + (cos x) dy = 0

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Q: A company estimates that the revenue (in dollars) from the sale of x doghouses is given by R(x) =…

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Q: evail hupisuoɔ əui 8u the partial fraction decomposition for 5x² – 3 - f(x) (x³ – 4x²)(x² – 3x +…

A: We have to find out partial fraction

Q: 2) which of these statements is(are) true?: P: The cross Product is commutative Q: The cross Product…

A: Please follow the explanation in the next step.

Q: 26 Select the correct answer. Which matrix can be multiplied to the left of a vector matrix to get a…

A: The given problem is solved below in detail.

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: Find the slope of the tangent line to polar curve r = 7 cos 0 at the point

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Q: 24 – 44 dy 2+ 4y с.

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Q: 0 14 (x² + 4y) dæ dy 4

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Q: The technique used to prove that x4 x3 - 5x + 5V5 tan¬1 3 x² + 5 dx + C - - is Long (Euclidean)…

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Q: The results of an interview of 200 students indicate that 89 like GE Math; 77 like GE Arts; 77 like…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: The integral dx Vx² – 4 3 -2

A: To evaluate the given integral

Q: Find the right-hand Riemann Sum, with three sub-intervals indicated by the table. Hours 7. 8.…

A: We have to find the right hand Reimann Sum.

Q: Let E be the region that lies inside the cylinder x2 + y2 = 64 and outside the cylinder (x- 4)2 +y2…

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Q: Find the equation of the tangent line at the given point on the curve. 327x 3x² + 3y² , 109y 2 10…

A: As we know that; The expression for the equation of the tangent line is: y-y1=mx-x1 Where, m is the…

Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A: Given problem:- Find the angle of the largest right circular cone which can be inscribed in a sphere…

Q: dy_x² +2x(1+x*) tan" x (1+x*) dx O Op tion 1

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Q: The following series 08 2n Σ (-1)" 4n 3n+1 n=1 17 37 converges to converges to 20 the above O the…

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Q: The equation x² + y2 = 25 has O a center at (0, 0) and a radius with a length of five units. O a…

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Q: Answer what is required in the problem. d 1 -dt 1+t dx .17

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Q: The integral X dx Vx2 – 4 3

A: To evaluate the given integral.∫12 xx2-43 dx

Q: The volume of the solid region, in the first octant, that lies below below the surface, z = above…

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Q: 4- Determine an expression for dy/dx. 3(y-2)3– x= 4x - 6.

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Q: Using appropriate trigonometric substitution, dx XV9 — х2 is transformed to

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Q: For the following function f(x), find f(0) and f(2). if xs0 x2 f(x) = if 0 <x<2 x+3 if 2sxs4 4-x…

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Q: Without evaluating the constants, the partial fraction decomposition for 5x² – 3 f(x) (x³ – 4x²)(x²…

A: We have to solve partial fraction.

Q: 22. Sketch the region bounded by f(x) = Vx -1 and g (x)=x-1 AND find the area.

A: Sketch

Q: Use the Integral Test to determine whether the series is convergent or divergent. (If the quantity…

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Q: Using decomposition into partial fractions, 4x2 + 2 -dx x(x² + 2) is equal to In|x (x? + 2)| + C…

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Q: II. Find the equations of the tangent and normal lines at the point indicated. a. 7x - 6V3ry + 13y -…

A: Solution is given below:

Q: 4.) f(x) = etinlx)+cos (x) 2+4x+4 5.) (x) = = 6.) S(x) = +r-s)(ar-7) 622-131+7

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Q: J(x) Rewrite h(x)- g(x). g(x) + 0 as a product and Use the product pule to derive the quotient rule.

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Q: What type of DE is the following? xydx + (x2 – 3y)dy=0 O Bernoulli in x Bernoulli in y O Linear in x…

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Q: (-1) -1 Given the alternating series E Which one of the following gives n1 5+3n b? n+1 Select one:…

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Q: 4.) f(x) = etinlx)+cos (x)

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Q: Arcsin(x/y) = 4x + 3y

A: To find out the double derivative.

Q: The following telescoping series [c0s" () - cos 1 COS COS in. n + n=1

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Q: [a csc ()- y] do + ædy = 0 CSC O y= x cos(In z) + C O y=D cos (In a + C) O In + cos(E)= C O Ino COS

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Q: Find a and b such that f(x) is continuous at x=1. [x – 2] + a x 1

A: A detailed solution is given below.

Q: For the number 70260.011000 What is the number of significant digits and what are the significant…

A: Number of  Significant digits = 11

Q: 2x+5 Зх +1 5) lim 2х+5

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Q: Use the Comparison Test to determine whether the series converges or diverges. 4n 4n 5n3 + 5…

A: We have to find convergency

Q: Q3/ Find the limits x*+x²-2 1. lim X-1 -1 Vx+2-1 2. lim X-1 x+1

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Q: What are the coordinates of the point on the graph of Ax) = (x+ 1)(x+ 2) at which the tangent is…

A: solution:-f(x)=x+1x+2      =x2+3x+2slope of tangent=ddxf(x)                             =ddxx2+3x+2…

Q: Solve the equation xy^3 dx + (y + 1)e^(-x) dy = 0.

A: Given:  xy3dx+(y+1)e-xdy=0xy3dx+(y+1)e-xdy=0(y+1)e-xdy=-xy3dxDividing equation on both sides by…

Q: Find the derivative of f(x)= x% (x% + x% +x%

A: Find the derivative

Q: Find the Area bounded by the given curves. y = 2x + 1 ,  y = 7 - x ,  x = 8

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Q: Which of the following is the differential equation of the family of Straight lines with slope and x…

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