Find the volume of the solid that lies under the plane 3x + 2y + z = 12 and above the rectangle. R= = {(x, y) | 0≤x≤ 1, -2 ≤ y ≤ 3}

Q: 2A)Matrix A = 12 2₁ B = B = [₁ ²2₁ find AB. -21

A: Note:- Please repost part B because unable to understand  right side of differential equation…

Q: 9. Determine if the Mean Value Theorem for Integrals applies to the function f(x)=√x on the interval…

A:

Q: Write the first five terms of the sequence: {√n² + 4n - n } n =1 + Determine whether the sequence…

A: Find out the first five terms of the sequence and also if it converges then find its limit.

Q: Find the exact length of the curve. 1.2 y = 1x²-1⁄In(x), 2 4 1 ≤x≤ 8

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

Q: Solve the following initial value problem. Provide your answer below: f(x) = ƒ"(x) = 36x² + 6x – 10,…

A:

Q: No calculators. Using the Shell method only, find the exact volume created by rotating the region…

A:

Q: Volume of the function g(x, y)=√64-x² - y² over the semicircle bounded by x² + y² ≤ 64, x≥ 0. 2- -2-…

A:

Q: 3. What is the distance between two points (3,-1) and (-2, - 5).

A: Solution:formula: Distance between two points x1,y1 and (x2,y2)                Distance =…

Q: When a patient with hypertension takes a particular type of blood pressure medication, the effects…

A: We have to find the interval in which interval will the systolic pressure be lowest.

Q: Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) =…

A:

Q: No calculators. Find the exact length of the curve. 0≤x≤l y=2+2x³/2,

A: Length of the curve  =∫ab 1+f'(x)2 dx .

Q: The volume of the solid obtained by rotating the region enclosed by y = 1/x³, y = 0, x = 3, x = 4…

A:

Q: Suppose the position function of a particle is given by r(t)=(√3 sin(t), t-2, √3 cos(t)). If the…

A:

Q: O [-5, -1) U (1,6] O (-5,6] O [-5, 6] O (-5, -1] U [1, 6] Find the domain of r(t) = (ln(t + 5),…

A:

Q: 10. √x(x² + 3x-8)dx A. -4 B. -404 105 D. -28 105

A:

Q: 3 여 x 3

A: Given: 121-111231X=0-21

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x= xo and then find the nth Taylor…

A: Taylor series of function fx at a is defined as:…

Q: eliminate the arbitraty constats of the differential equation y = C1e^2x + C2xe^2x a. y” + 2y’ + y =…

A:

Q: 1. Find the equation of the circle passing through the points (1, 5), (-2, 4), and (10,-2).

A:

Q: Which of the following provides the curve of intersection = 14? of the surfaces z = √√√x² + y² and…

A: We have to find the curve of intersection of the surfaces  z=x2+y2  and  x2+y2+z2=14.

Q: Consider the following situation, which involves two options. Determine which option is less…

A: Given: Consider the following situation, which involves two options. Determine which option is less…

Q: x ³³+ 2x² + 3x + 7 dx x²-x-6 S x³ + 2x²

A:

Q: x+2 3.) (x²-1)(x²+1)² of factor. dx; Solve by using partial fraction. Indicate the type

A:

Q: Use Theorem on the derivative of the inverse function to find g'(a), where g= f-1. Calculate g(x)…

A: Here we have to find the inverse function and then its domain and range.

Q: t) The volume of the solid obtained by rotating the region enclosed by y = 12x - 4x², y=0 bout the…

A:

Q: QUESTION 1 Let I = fxe³x. To solve I, we need to apply O Integration by substitution O Integration…

A: The answer is given below.

Q: 16. Find the quadratic function such that f(4) = - 26, f‘(4) = -19 and f“(4) = -6.

A:

Q: Evaluate the integral. Select the correct answer. 432 3 216 3 In 36- 432 3 In 36- none of these 432…

A:

Q: Graph of the function. Show all 7 steps. h(x)=(x+1)2-2

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

Q: Given r(t)=t2i+5tj, find and completely simplify T(t) and N (t)

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

Q: x2/3+ y2/3=4 from x =1 to x = 8. Find the arc length of the curve x²

A:

Q: į j x=0_y=√x | g(x,y) dydx=

A:

Q: At least one of the answers above is NOT correct. where a 9 and b = 7 1³h 10x² - [ 1(a) dx = f* f(x)…

A:

Q: Do the first two terms of the Taylor series by hand where X_0 = 1

A: Given :∫1232xe-xdx

Q: 1.4 Assuming that C₁ Cos (wot) and C₂ Sin (wot) in 1.2 are two independent solutions of the SHO…

A: It is given that C1 Cos( W0t) and C2 Sin(W0t) are two independent solution of the SHO differential…

Q: Find the indefinite integral. [16 Step 1 The integral The integral 16x arcsin(x) dx S 16x arcsin(x)…

A: Here we have to solve the given indefinite integral.

Q: 21) In a triangle ABC, B = 65°, C = 45° and a = 10. The measure of angle A is : a) O 90° b) O 80° c)…

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

Q: Find dy/dx by implicit differentiation. √xy = x5y + 56 dy/dx = X

A:

Q: 36. What is the area of the region bounded by the graph of y = 3x - 4, the y-axis, the lines y = 1…

A: See the details solution in below

Q: Find r'(t), r(t0), and r'(t0) for the given value of t0. r(t) = (1 + t)i + t3j, t0 = 1 r'(t0) =

A:

Q: Q2/ A. Find the following limits. Answer four only. x+3 i. lim x-3x²+4x+3 X+) √2+1! x-1 lim x-1…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Show all your work to receive full credit. Write your answers as complete sentences. 1. Integrate…

A: Topic = Integration

Q: 11. inverse Laplace transform of (a) F(s) = (b) F(s) = (c) F(s) = (d) F(s) = 3 8² +4 4 (8 - 1)³ 2s +…

A:

Q: lim 0-4 In[(1 + h)² + 1] - ln(2) y

A: To evaluate the given limit .

Q: B)Solve the differential equation =(3+x¹)+x²e³x.

A:

Q: Question 20 (5 points) Find the limit. 00 ∞ 5 0 -15 Question 21 (5 points) Find the limit. 0 1 00…

A:

Q: Use the given information to find the exact value of the expression. 9) tan 0 = 13/12, 0 lies in…

A: using trigonometry properties

Q: h'(x) = cosxcot(sin^3x)+cosxsinx ⠀ h(x) = sin(x) -2 (cos(t³) + t)dt

A: Applying Leibniz's rule

Q: Find all critical points of the function g (0) = sin² (120). Express your answer in terms of . (Use…

A: This question is based on general solution of Sine function.

Q: 08 06 04- 02 } } yex dxdy = y=0x=y² 0.2 04 06 08

A: