II. Find the inverse of each matrix. 5 -11 1. -7 -9

Q: e. 4 e2z 1+etz dz

A: topic- definite integral

Q: 8x²-x+8 x(x² + 4) 2 lnx + 6 in (x²+4)-4 Arctan ¹ (1) + C Option 1 4 Inx+6 In (x²+4)- Arctan (+C…

A: topic -indefinite integral

Q: (1,0), and (1,5). 5) Find the potential function of F(x, y, z) = (e² + ye*, e* + ze³,e³ + xe² ).

A:

Q: Problem 4. (. Let C be the curve given by parametric equations x(t) = t², y(t) = 2t, z(t) = lnt, t€…

A:

Q: 9) Two apartment tenants have a total of 600 feet of fencing to enclose a rectangular garden and…

A: Please refer to the image below

Q: Find a scalar equation for the plane that contains the points P, Q and R

A: We know that equation of plane passing through three points A(x1,y1,z1),B(x2,y2,z2), C(x3,y3,z3)  is…

Q: 5. Set up an iterated triple integral in the order dædzdy that gives the volume of the solid in the…

A:

Q: Calculate the gradient of h(x, y, z) = x z Vh=

A:

Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis. 1/3 3 1/9 9

A:

Q: Find a differential equation that corresponds to the given direction field. Consider differential…

A:

Q: The integral represents which quantity? O the total mass with density F O the length of the curve C…

A: Solution

Q: Suppose z = f (x, y), where x (s, t) = 2st and y (s, t) = s t + 7. af af At point P, suppose = 3 and…

A: Here we have to find a partial derivative at a point.

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: We have to set up the integral for volume.

Q: convert the Following differential equation into a Perfect equation and then Find its general…

A:

Q: 2. Evaluate da da dr d. 1/2/3+2/²+1/+1 f. 2√x+3+x

A:

Q: Let 1 5-1 A = 0 1 0 and P = 0 0 0 15-2 05 Given that P diagonalizes A, then compute A¹¹. i A" i i

A:

Q: Given: Let B (x, y, z) = (xz, yz, 3x² - z²). 1. The task is to identify the work done by B on a…

A:

Q: Find the volume of the solid that is bounded by the cylinder z = 4x2, on the sides by the cylinder…

A: Let's find volume of solid.

Q: Evaluate the double integral: Y C C 7²41 de x7+1 y¹/3 (Hint: Change the order of integration to dy…

A: We will first change the limit of the integration then solve the Integral.

Q: Question 8 f the Cartesian coordinates of a point P are (0, 1, 1), then the cylindrical coordinates…

A: Convert Cartesian coordinate to cylinderical coordinates

Q: VII. - ) Let C be the curve consisting of the line segment from (0,0) to (2,0), the the portion of…

A: Given that a curve consisting a line segment from (0,0) to (2,0) and a portion of circle from (2,0)…

Q: Integrate. Simc 1 In (6x) dx

A:

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

A: We need to find horizontal and vertical component.

Q: 2. Evaluate Solve all parts or I'll dislike. If you can't solve all parts just skip it da da d. +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Without using a calculator, compute the sine and cosine of 210° by using the reference angle. What…

A:

Q: 4 Find the general Solution of the following PDES • з Их + 2 Иу -Х u(x,c) =4е 2 (зу-2х)12 ans3- и(x,…

A:

Q: Find the area (in square units) bounded by the parabolas x² + 2y - 8 = 0. a. 7.10 sq. units b. 7.01…

A: Here we have to find the area bounded by the parabola.

Q: The region trapped between y 4x - 2x² and y 2x² - 1³ = y= 4х-2х² у=2х2-х3 a) Set up the integral…

A:

Q: Find the general Solution of the complement of the following differential equation y"- 3y"+9y'+ 13…

A:

Q: 5) A Cramer's Rule question: Suppose tickets to a football game are priced according to whether the…

A:

Q: f(x) = (2-1)³

A: Given: f(x)=2−x415 To sketch the graph of f(x) Let's first find where f(x) will be zero

Q: 2x² + x + 3 x³ + x dx In[x] + In (x² + 1) + tan^³(x) + C Option 1 3 In]x] +In (x² + 1) + tan¹(x) + C…

A:

Q: Question 7 Determine the x - coordinate of the local ma Or - 18 O r = 16 O = 1.0 None of the choices…

A:

Q: क्ने Find the curl of F(x, y, 2) = (2x,3y, 52). depends on the point (x, y, z) ● 10 O

A: Let's find curl.

Q: Given the triangle to 4 decimal places. x = 26/ 42° 28 x find the length of side x using the Law of…

A:

Q: f. √₁²√x (x − 2x² + 1) dx -

A:

Q: Find the length of the entire perimeter of the region inside r = 18 sin but outside r = 3.

A:

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

A:

Q: Find all the critical points of the following functions and classify them as local maximum, local…

A: First we need to find the critical point and then we should apply the conditions to approach it as a…

Q: i) n=1 1 1+2+3++n j) 1 n In n(ln(Inn)+1) k) 2" +n n!+1 n=1

A:

Q: 4x Compute the values of dy and Ay for the function y = e + 3x given x = 0 and Ax = dx = 0.02. Round…

A:

Q: ) Approximate ſ*^*In(y +1)dy with a midpoint Riemann sum using three equal subintervals. 1

A:

Q: 6) Approximate √²³|x² −1|dx with a right-endpoint Riemann sum using four equal subintervals.

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

Q: Find the general solution of the following DE. xy(y')² + (x² + y²)y' + xy = 0

A:

Q: अ 250 -x5/2 - 2x³/2 + +बेकर 9 x³ - 2x² + x − 1 -

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: 3. Output, P, is produced using two inputs, K and L, according to P= f(K, L) = 2 + KL-2 5 1) Find…

A:

Q: Let f(x) = 3 cos 2x + sin² x. a) b) Show that f'(x) = -5 sin 2x. Зл In the interval <x< one normal…

A:

Q: Deon's shirt is 4 times larger than Helen's, but costs half as much. Deon's shirt cost $9.35. How…

A:

Q: If Vf = F, then F is called a potential vector field, and f is called a conservative function. O…

A: Answer: True

Q: Find the Fourier transform of Hint: Use the integral formula Se-¹² du = √π e-a²₁²

A: