Let u = (– 2, 4, 0) and v = (– 1,0, – 3). Find the angle 0 <0 < 180° (in degrees) between u and v. degrees Round to the nearest degree.

Q: Suppose f(x, y) = xy + 4. Compute the following values: f(x + 4y, x – 4y)= - f(xy, 6x²y³)=

A: We can find the given function .

Q: solve

A:

Q: 2. Evaluate xy(z + 2) dx dy dz 1J0

A:

Q: Using Wallis formula, find the integral of the expression. Answer in 5 decimal places (example…

A: We have to solve given integration with the help of wallis formula.

Q: Find the area of the surface generated by revolving the curve about each given axis. x = St, y= 9t,…

A: We have to find the surface area.

Q: 2s+3 L-1 2+4s+13

A:

Q: Suppose f(x, y) = xy² + 4. Compute the following values:

A:

Q: Find the total mass of two turns of a spring with density p in the shape of the circular helix…

A:

Q: Hiws find the integral of the Pouction fix y1= over the region betwein the twe circles of rading 2…

A:

Q: Find the slope of the equation at the point (2,2) * x²y = 8 O -1/2

A: Slope of a equation y=fx at a point a,b  is given by dydx(x,y)=(a,b)=df(x)dx(x,y)=(a,b)As per…

Q: 2 3 2 [4х - 5х + бх + 9) dr

A:

Q: Learning Task 5: Analyze the given condition and calculate the sum using the properties of sigma…

A:

Q: I. Find the point/s of intersection of ea element and set up the formula onl y =x°+2 x=2 -4 00

A:

Q: 13. Evaluate: sin(x²) dx A) 2x cos(x2) B) 2x sin(x?) C) 2x cos 2x D)2x cos x 14. Find the derivative…

A: To find Evaluate the integral:

Q: T/2. 1. Let R be the region bounded by the graph of f(x) - sin x, the x-axis, and the vertical line…

A: Given the region is bounded by the f(x)=sinx2 and line x=π2 and x axis.

Q: Find the partial derivative of the function with respect to each variable. h(p.p.0) = p sin o cos 0…

A:

Q: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

A: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

Q: Compute for the indicated power of the following: (-võ + iv2)*

A: Please refer to the image below

Q: 1. Evaluate (i) dy dx, 3

A:

Q: 4. If y = x cos x determine the 5th derivative. [y(5) = (60x – x³) sin x+ (15x² – 60) cos .x]

A: To find out the fifth derivative.

Q: x-4 dx x2+2x-15 9. 끓 Imlx + 51-mx-3| +C In]x In]x + 5| – In]x – 3| + C 8 Option 1 Option 2 |(x +…

A:

Q: For the function f(x.y.z) = 1+ xy° - 4z*, find f f, and f.

A: We can find the partial derivative in the following steps.

Q: X+ 0.4Inx 04. limx→+o X+ 3lnx 05. lim, „(e* – 1)cosx e' – 1)cos> COSX 'x→0

A:

Q: Find v-w, if v = - 4i + 5j and w = 6i - 4j. |v - w|| = (Type an exact answer, using radicals as…

A: We can answer both the question as below

Q: 5. Use the shell method to find the volume of an ellipsoid formed when that part of the ellipse x2 +…

A: Given

Q: 3. (a) y(8) when y=cos 2x

A:

Q: 1 4. Find the maximum value of f (x) = In(x- Inx) on the interval-<x<e. e

A: Given problem:- Find the maximum value of ƒ (x) = ln(x−lnx) on the interval 1/e≤x≤e

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…

A: Given :The sum of first number squared and second number is 51

Q: 34 Find the measures of both angles a and b in the 41 following figure:

A:

Q: 10. lim, -6(x-sin'x)(cs scx)' X)( csC X

A: A detailed solution is given below.

Q: f(X) ex finathe cn'nical numbers of f O de remine whethereacn is a1ocaimaximum, 1ocalminiumum…

A: Critical points

Q: 6 4 for f(x, y) 3 3x у - 4x'у". 5 3 Verify that дх ду ду дх df 4 5 18y x - 20y°x of 5 3 4. 2 18x°y -…

A:

Q: 2. If ƒ(x) = x°e*, find f'(x) and f'(1).

A: We have to find f'(x) and f'(1).

Q: Find an equation of the hyperbola that has vertices (0, ±3) and foci (0,±4). Equation: = 1

A:

Q: Life Expectancy of a Female Suppose that in a certain country the life expectancy at birth of a…

A: In order to get g(t) integration need to be done.

Q: y" - y " -2y' = 0 O y = cje* + c2 + C3e2* O y = cje* + cze* + cze2*

A:

Q: A. Set up the double integral I |(2² + y² )dA where R is the region above the a-axis bounded by the…

A:

Q: A company selling widgets has found that the number of items sold z depends upon the price p at…

A: A company selling widgets has found that the number of items sold x depends upon the price p at…

Q: 16-17. Find the derivative: y = (x2 – 4x + 2)(2x3 – x2 + 4) A) 2x*- 36x³ + 24x2 + 4x -1 B) 2x* –…

A:

Q: Problems for Accumulation: 1. A businessman borrows P4,200 for 3 years at 5 1/2 % simple interest.…

A: To find out the amount that the business owner must repay.

Q: 5. S 7x°csc²3x7 dx du = answer:

A:

Q: Yulo decided to create an origami box from an 8 cm by 15 cm sheet of paper by cutting four slits and…

A:

Q: Use logarithmic differentiation to find dy/dx. y = Xx + 42 x > 0

A:

Q: ACTIVITY 2.Solve the given below. Show your complete and exact solution. 5. Given the function f(x)…

A:

Q: 2. Evaluate: | V12 – x|+x dx

A:

Q: x[1+ (In x) ] xp

A: This question is based on indefinite integral.

Q: Find the sum of the convergent series. Σ n(n + 2) W

A: First we rewrite the series and then find the sum.

Q: find Ahe Longth o fthe cerc 2 froom @aobo @-

A:

Q: Use the line sketch tool to draw the horizontal and T vertical components of this vector. Write this…

A: here red show horizontal i component brown show verticle j component

Q: 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S (e 5x - e 2x + 8) dx 2 e 5x 7. S 10 cot 2x dx

A: