04: Answer two only: (A): I A-2 1 -1 1-2 Find AB and AC.. -- 3 1 1 and 1 3 1 CO

Q: Solve using variation of parameters: y" - 2y + y = e/(1+1²) + 3et Type the letter of your answer. Yc…

A: Follow the procedure given below.

Q: 1. y = Arccos 1-x

A:

Q: Q5: Find dx for the following functions: (3) y = ex.sin² x In√x

A:

Q: Q2: Solve the following integral (1) 7x²+14x+15 (x²+3)(x+7) dx dx ; (2)

A:

Q: Compute the curl of the following vector field. F = (4x²-3y²,5xy,5z)

A: We have to find out solution

Q: Q4: Answer two only: 4 2 (A): If A = 2 l-2 Find AB and AC. 1 -1 01 0; 1 2 B = 2 l-1 3 1 -2 -2 and 2…

A:

Q: Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If…

A:

Q: 3 2.)f x³ (4 + x²)² dx ; Use rationalizing substitution

A:

Q: 8. Solve the differential equation: d'y 3: dx² -4+y=0 dx

A:

Q: 1. Suppose that C is the top-half of the circle (x-a)² + y² = a², (a > 0) oriented in the…

A: Please see the below picture for detailed solution.

Q: Use the disk method to find the volume of the solid of revolution generated by rotating the region…

A:

Q: d) Find the slope of the parametric equations x=2+3sin and y=0-cose at 0=

A: Given: x=2+3cosθ and y=θ-cosθ   As we know that; The slope of the tangent line to the given curve is…

Q: For what values of a and b is the line 2x + y = b tangent to the curve y = ax² when x = 4?

A:

Q: 4. y = Ae bx are cosax + Bebx sinax, where a and b(lowercase) parameters. (not to be eliminated)

A:

Q: Use the substitution u= x² + 6 to find the following indefinite integral. Check your answer by…

A: To evaluate the integral.

Q: 10. dy dx = X y²√1 + x

A:

Q: 61. A "bead" is formed by removing a cylinder of radius r from the center of a sphere of radius R…

A:

Q: Use the substitution u = 3x²-2 to find the following indefinite integral. Check your answer by…

A: We need to find integral.

Q: 13. 2ny(8- y³/2) dy A) 4² (14 — y³/²) + C 7 2my 7 (14-y3/2) + C C) B) T² (14+y³/2) + C 7 D) 4²…

A: 13. The given integration is: ∫2πy8-y32dy To evaluate the given integral.

Q: A pizza company is building a rectangular solid box to be able to deliver personal pan pizzas. The…

A: The given data is: A pizza company is building a rectangular solid box to be able to deliver…

Q: 7dx x(lnx + 1) S:

A: To solve the given integral problem by substitution.

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: We have to find out equation of tangent

Q: f(a+h)-f(a) h a. Use the definition mtan = lim h→0 b. Determine an equation of the tangent line at…

A:

Q: (B): Find the unit vector 3i - 4j + 5k perpendicular to the vectors: 4i + 5j-6k

A:

Q: sin 8 cose √cos²0-9 S do

A: Our Aim is to evaluate the integral given below:-∫sin θcos θcos2 θ-9dθ -(i)

Q: Evaluate: AT -dx B. 이집 는 d 를

A: Evaluate the integral ∫0πxsinx1+cos2xdx

Q: Use logarithmic differentiation to find the derivative of the function f(x) = (sin 7x)/x c) Coal is…

A:

Q: (B): If A = 2i + 3j-4k; B = 3i-4j+ 5k and C = i + j-k, find: (iv) (3A + 4B). C (1) A.B (U) B.C (iii)…

A:

Q: Given the bivariate data: X12356 65431 (a) Draw a scatter diagram for the data A - Xy IN² 4 . . -10…

A: We have to calculate the least squares line.

Q: Which of the following statements is (are) false? A) A basis is a spanning set that is as large as…

A: Please see the below picture for detailed solution.

Q: S 7dx x(lnx + 1)

A:

Q: Determine the area, in square units, bounded above by f(x) = -x^2 + 2x + 3 and g(x) = -x + 3 and…

A: Determine the area, in square units, bounded above by f(x) = -x^2 + 2x + 3 and g(x) = -x + 3 and…

Q: Find a result by using exact for (sinxcosy)dx = -(cosxsiny)dy = 0 b. (x-6xy + y² + 10)dy = -(x² -…

A: I am attaching image so that you understand each and every step.

Q: FIND: hf(x)dx 2 g(x) dx = = f₁₁ f(x) dx = = if g(x) is an odd function. if f(x) is an odd function.

A: We need to find integral.

Q: (A): If A = 4 2 -2 Find AB and AC. 2 1 -1 2 3 11 0; B= 2 -2 -2 and 1 l-1 2 1. 3 1-31 C=02 6 l-1 2 1

A: A=420210-2-11B=2312-2-2-121C=31-3026-121

Q: A cylindrical tube expands as its radius r and height h increase at the rate of 2 in/min and 4…

A: Basic product rule of differentiation is used.

Q: ddw? dt (C): If w = tan x and x = 4t³ + t ; Find

A:

Q: 4. What is the length of the latus rectum of the ellipse whose equation is (x-3)² + 2 = 1. 25 16

A:

Q: Evaluate the function at the given values of the independent variables. Simplify the results. f(x,…

A: topic- Functions

Q: Find a differential operator that annihilates the given function. -2x+3x³+x²e5x

A:

Q: Q5: Find for the following functions: dy dx (1) In(x - y) = xy + y³ ; (2) y = tan³√/cot(7x);

A: To find derivative.

Q: 9. f dx 3x²√√25-x² 10. √ √² + 2tdt 11. f 3x+1 -dx 3x³-2x²-4 12. x²(x-1)(x+2) dx

A:

Q: -1 t² Vta 6 dt

A:

Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: Consider the points 19,0.633,21,0.335,23,0.12,25,0.064 and 27,0.044. Find the Average rate of change…

Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx

A:

Q: Calculate (9x10^7) divided by (45x10^3) show your work and answer in scientific notation

A: Given :   9×10745×103

Q: =) S sin6 x+cos6 x sin³ x cos³ x dx

A:

Q: 9. -1 2x xe dx

A: We have to find out solution of integral

Q: e (5-x) dx = xydy

A:

Q: 1. (1) E (14) (1) Choose the correct option (Multiple Choice Questions): Which of the following is a…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…