Solve the following items and show your solutions. b.) Identify if the following functions are homogeneous or not. Show your solution for each item. 5. x/x2 + y?

Q: Given the function below find the value of f(-4). * if x -5 2x² + 1 f(x) = O -67/16 None of these O…

A:

Q: 6.(Somewhat tricky) Use an appropriate substitution to solve: (a) dy y + x dx (b) (y³ + y?x) dx – x³…

A: To solve the following differential equation

Q: Solve for t. log 6 t= 2

A: Given query is to find the value of t.

Q: A cubical container that measures 2 inches on a side is tightly packed with 8 marbles and is filled…

A:

Q: Find the inverse of the matrix 3 0 2 -1 1 A= -2 -3 1 1 글 0 를 글 0 를 0 글 1 1 0 글 를 0 글 1/2 1. 112 112…

A:

Q: Let f be a continuous function on [a, b]. Which of the following statements is false A If k is a…

A:

Q: 10. csc?e cot e1-5 cot 6 de ſ csc

A: Let's find.

Q: 2x

A:

Q: Integrating Factor by Inspection: (1) y(x² + y² – 1)dx + x(x² + y² + 1)dy = 0

A:

Q: Find the orthogonal trajectories of the given family of curves. Draw a few representative curves of…

A: For orthogonal trajectory we replace dy/dy by -dx/dy

Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. x =…

A:

Q: Use the position function s(t) --4.9+ 650, which gives the height (in meters) of an object that has…

A:

Q: Two ships leave a dock at the same time, one sails northeast at the rate of 9 miles per hour and the…

A: Let A and B denote the first and second ship

Q: is given by: If f(x, y) then 8(8x-4y) '

A:

Q: E Homework: Section 4.7 Use the given zero to find the remaining zeros of the function. h(x) = x -…

A:

Q: 2. Find the differential equation of the family of circles having their center on the y-axis.

A:

Q: In arcsin x (V1-x²)arcsin x

A: Given:     ∫lnarcsinx1-x2arcsinxdx    =∫lnarcsinx1-x2arcsinxdx substitute…

Q: 7. (D+ 3)'y = 15x'e-3* 8. (D- 4)'y 15x²e**. 9. D (D – 2)²y = 16e2 10. D2(D + 3)²y = 9e-3x 11. (D² –…

A:

Q: Solve eX = 6 for x. The solution is x2 (Round to four decimal places.)

A:

Q: The value of a dollar decreases by 22% every year. Find the half-life in this situation.

A:

Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. 1 y…

A:

Q: estion Evaluate:S sin (3x) cos³(3x) dx r answer estion Ising Trigonometric Substitution, evaluate: -…

A: Solution:

Q: Suppose that enrolment in CLSU has been increasing over the years since year 2014 according to the…

A:

Q: x'sec'ydy – (1 – 2x²tany)dx = 0

A:

Q: af Given f(x, y) = In(6x² + 8y²) then %3D

A:

Q: Which of the following expressions represents the height of a right circular cone having a slant…

A:

Q: Suppose that you have a task of measuring the lengths of a bridge and a rivet and come up with 9996…

A: True error : true value - approximation. True error in Length of bridge: 1000 - 9996= 4 cm

Q: Use loganithmic differentiation to evaluate f'(x). 10 (x+2)" f(x) = (4x- 16)" %3D 11

A: Given problem:- f(x) = (x+2)10/(4x-16)11 To find:- Use logarithmic differentiation to evaluate…

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: To find out the directional derivative.

Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y =…

A:

Q: 1) y= 3cos 4 +2 4 a: b: Period: d: Phase Shift: S C:

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = -9i + 80j - k v = 9i + j - k O…

A:

Q: Which of the following is NOT a solution to the trigonometric equation sin 0 + cos 0 = 1? O Option 1…

A: Substitute the values given in the options and verify.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: An ice cream cone is filled with ice cream and surmounted ice cream in the formof a hemisphere on…

A: Given problem:- An ice cream cone is filled with ice cream and surmounted ice cream in the form of a…

Q: Find the following limit by evaluating an appropriate definite integral over the interval [0, 1 lim…

A:

Q: Solve the following items and show your solutions. c.) Find the general solution and solve for the…

A:

Q: 1+cos4x 1. 1-cos4x -csc2xdx

A:

Q: 11m Convert to its degree measure. 6.

A:

Q: 2. Find an equation of the sphere satisfying the given conditions. a. It is concentric with the…

A: In this question, we want to find an equation of a sphere which is concentric with the given sphere.

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² – 2xy + y²,…

A:

Q: Your professor said that this cannot be solved using Power or Logarithm Formula alone. Other formula…

A: The general form of integrand to apply power formula∫fxndx = fxn+1n+1 + CIn the given problem,…

Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. x =…

A: Given problem:- Consider the solid obtained by rotating the region bounded by the given curves…

Q: Determine whether (-±) is part of the unit circle or not.

A:

Q: Use the gradient to find the directional derivative of the function at P in the direction of v. g(a,…

A: Let's find.

Q: S cor* (***) csc (*) da 3x+1) 3 3x+1

A: Solution…

Q: t/3 cos e sin 20 de T/6

A:

Q: For an integral of the form f sin™(x)cos"(x)dx, saving one sine factor and converting the rest to…

A: Given data÷

Q: a2f_ If f(x, y) = xe?y + 6xy, then is given by: dydx O 2xe?y + 6 None of these e2y + 6 2 xe?y + 6 2…

A: We have to find the derivative