Evaluate A B Ⓒ D S= x² - 4x 2 x² - 4x 2 x2-2x 2 x²-2x-In 3x5 3x4+6x³3x² - 6x - (x-1) 1/6(x+2) 16/3 (x+1) 1/2 [(x-1) 1/6(x+2) 16/3 x+1 (x-1) 1/6(x+2) 16/3 (x+1) 1/2 (x-1) 1/6(x+2) 16/3 (x+1) 1/2 +In + In -dx, using method of partial fractions. +C +C 2²] +0 C +C + In

Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B =

A: We have to find vector A and B.

Q: _et f(x, y) = xe - x². Calculate fx (x, y) and Jy (x, y).

A: To find the partial derivative.

Q: Exercises To Solve [No.5] 4 S (x-1) √X²2X-3 dx 3-2x-x²

A: Note:- according to the company policy we have to attempt only one question so please upload the…

Q: To evaluate parts? A [x²cosx dx. use integration by parts. What is the expression after the second…

A:

Q: Given the following planes: 1. 2x - y - 6z = 5 II. (x-1, y - 1, z - 6) * (3, 1, 1) = 0 III. (0, 8,…

A: Topic: Plane in three dimension geometry The solution is given below:

Q: Let A = (–3, −5, 1), B = (–5, −10, −1), C = (–5, −5, −5), and D = (–3, 0, -3). Find the area of the…

A:

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A: We have to find the inner radius

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

A: The objective is to find the slope and equation of tangent line.

Q: Estimate the slope of the tangent line to the curve at the given point (-3.5,1.250) on the graph to…

A: In this question, we want to find the slope of the tangent line of the curve at point (-3.5, 1.250).

Q: ydx-xdy + xydy = 0

A: To solve the given ordinary differential equation problem.

Q: Consider ·S= x-m+- Sx 3x5 -dx. Using the method of partial fractions, the given integral can be…

A:

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2-4x about y=4 is to…

A:

Q: Arc length: Find the length of the space curve with vector equation r(t) =(4, 3cost, 3 sint ) over […

A: We have to find the arc length.   According to our guidelines we can do only one question so please…

Q: Suppose that Find f'(x). f'(x)= f(x+h)-f(x) = -5hx² +6hx + 2h²x + 3h² - 1h³.

A: We will solve the problem.

Q: Evaluate √√√x² + y² ds along the curve r(t)=(4 cost)i + (4sint) j+3tk, -27 ≤t≤ 2T. C

A:

Q: Use the method of elimination to evaluate the determinants

A: Question number 16 has been solved as per the request of the student.     This question can be…

Q: π 5π Find the area bounded by the trigonometric curves y=sinx and y=cosx from x= —to x = 4 1.414…

A:

Q: m-1 1 + m 1 m m+2 ¹tan (+2)(x) + —tan" (x) + C m-1 1 + m 1 m+3 Ɔ+ (*) (1 - 1)² + (x) (1 + m) U²1-…

A:

Q: dx The integral ·S= can be transformed to which of the following when trigonometric substitution is…

A:

Q: 3x5 3x4+6x3-3x2 - 6x uate -dx, using method of partial fractions. x²-2x O [ (x − 1) 1/6(x+2) 16/3 -…

A:

Q: ve [No.5] -2 2 зах 9x²-6x+5

A: On solving this we will get

Q: The coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). Represent mathematically…

A: Given that the coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). So the…

Q: he definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the derivative…

A:

Q: Compute the left and right Riemann sums L4 and R4, respectively for f(x) = √4x² on [-2, 2] and…

A: We can find Left and Right Riemann sums .

Q: 2 I зах 9x²-6x+5

A: On solving this we will get

Q: find the inverse Laplace Transform of the functions     a.) 5/3s b.)14/((3s+2)(s-4))

A:

Q: S- For x 1/2 U 4u U dx and using the substitution -du -du -du 4u 4- (21²) ² -du u=x1/2, the…

A: The objective is to find the correct option.

Q: What is the average rate of change of y with respect to z over the interval [-3,-1] for the function…

A:

Q: 18

A: We will solve the problem

Q: 3x5 3x4+6x³-3x² - 6x B с -+ x-1 x+1 x+m S= Consider Sx-m+- A xm+-+- -dx. Using the method of partial…

A: Since the degree of the numerator is not less than degree of the denominator, perform polynomial…

Q: For x1/2 dx and using the substitution = x 1/2, the resulting integral takes the form: 4u -du -du…

A: topic- indefinite inegral

Q: 3 3--x2+3x and the line y=x. 4 Find the area bounded by the curve y=-x³- 16 10 square units 16…

A:

Q: Suppose a population of fruit flies changes at a rate of g(t) = -4e0.041, in flies per day. If the…

A: Topic:- application of integration

Q: 7. xdy = (5y + x + 1)dx Ans: y = -x-+cx5

A:

Q: In Problems 7-12, evaluate each given determinant after first simplifying the computation (as in…

A:

Q: Consider S √(x-m+ 14/3 B 5 Ⓒ17/6 D 6 3x5 3x4+6x³-3x² - 6x A B C + + x-1 x+1 x+m -dx. Using the…

A:

Q: 8 - 1V₁-30 √4 3+²+10 dt. Let g(x) = What is g'(x)? +4-3+²+10 322 3x² + 10 3x²+10 √8 O√TA 4+³ 6 2√14…

A: Topic = Derivative

Q: Ex: If w cos(uv), u = = xyz, y = π 4(x²+y²)' aw find at point (1, 1, 1). əx

A:

Q: y dy ³S- √y+2 3 3 0²/(√y+2-5)(-5√/y+2+y+21)+C © }(√y+2−5) (5√/y+2+y+21)+C (√y+2-5) (5√y+2-y+24)+C…

A:

Q: b. Identify the function's local and absolute extreme values, if any, saying where they occur. -15…

A:

Q: 2 J xe9x da 0

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Suppose m and n are constants and m #n- Evaluate [ sin(mx) cos(nx) dx -cos (m + n)x] + C 1…

A:

Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)² sin…

A: We have to find the integral

Q: dx The integral can be transformed to which of the following when trigonometric substitution is…

A:

Q: Evaluate ſxy dx+(x+y)dy along the curve y=x² from (−1,1) to (2,4).

A:

Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A:

Q: mx 13 if x < - 9 - Let f(x) = x² + 3x − 4 if x ≥ −9 If f(x) is a function which is continuous…

A: The objective of the question is determine the value of "m".

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A:

Q: What is the value of f(1) - 16B in [x³ Inx dx = f(x) ((1/4) Inx-B) + C?

A:

Q: If f(x) = 10, find f'(-1).

A: Given f(x)=10,  to find f'(-1) Formula used Differentiation of a constant value is zero d (constant)…