A. Identify the given differential equati. as to the dependent variable, degree of the equation, whether it is a hom ogenous or non-homogenesvs equati 1. 5 ( h)- 3d*h 2.z"-号-2 =5sin (1+)

Q: 8. (x'-20) (x-3)

A:

Q: Write the equation of the function graphed below.

A:

Q: Find the area bounded by y = x + 4 and y = x² - 2. Answer:

A:

Q: Use the alternating series test to determine if the following series converges or diverges. E…

A:

Q: cos(x ) + æ5.1 dx. )ln(1+x² 3 cos(x Evaluate 1+ el.61x – 68 - 3. answer

A:

Q: y=f(x) A1 АЗ 15 A2 7 A4 10 (figure is NOT to scale) Evaluate the integral below by interpreting it…

A: To evaluate the integral below by interpreting it in terms of areas in the figure.The areas of the…

Q: Step 2 We have found that the velocity of the object thrown upward has the general solution v(t) =…

A: topic - equations

Q: Find the area bounded by the curve y = 4x-x and and the lines x = 0 and y = 4. %3D Answer.

A:

Q: Find F as a function of x and evaluate It at x = 0, x = 7/6, and x = 1/2. F(x) = sin 0 de %3D F(x) =…

A: We have to find out the integral

Q: 2x2 -9x Find the limits and justify if needed. 12. lim x² – 1 X-

A: Given query is to find the limit of the expression.

Q: I. Complex Numbers and Variables 1. Find the square roots of the complex number 5 + 2i. (cos 0+j sin…

A:

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/d-definition of the derivative to prove that f(2) = 9.

A:

Q: . Evaluate the double integral S, S f(r, 8) dA, and sketch the region R. 5. S/² s V9 – r² dr d®

A: Let's find.

Q: ider the function f(x) = 3 – 72² on the interval [- 6, 7]. Find the average or mean slope of th cion…

A: We wil use the mean value theorem.

Q: 3. a) Determine the slope of the function, h(x) = 4sinx at x =

A:

Q: What is the value of c? If we try to apply Rolle's Thorem to the function f(x) = 2x? – 20x – 2 on…

A:

Q: リ=ー"-4), find a) The x-intercept and the y-intercept b) The interval where the function is…

A:

Q: Find f' (x), if f (x) = 3Vx + 2Vx – 11 %3D

A:

Q: 2x)y'+5y=

A:

Q: 10 16 what is 7 | f(s)ds? Given that f(x)dx = - 10 answer =

A: Follow next step

Q: AShift

A:

Q: Suppose you deposit 3 000 at a 6% interest compounded continuously. What will the Average value of…

A: Given Deposit =$3000 Interest=6% Compounded continuouslyA=Pert

Q: +, ×

A: Given problem:-

Q: Find the Taylor series generated by f at x = a. 1 f (x) a =3 4-x

A: Solve the following

Q: 1 -dx is The value of

A: ∫ xn dx = xn+1n+1+C .

Q: - 9 sin(3x) and f'(0) Given f''(x) f(0) = 1. 3 and Find f(-

A:

Q: Consider the differential equation y''−2xy'+y=0y′′-2xy′+y=0 subject to y(0)=1y(0)=1 and…

A: Given; y=1+5x-x^2/2+x^3/6 y(.2)=?

Q: S(9% + 33* + 2²) dx

A: Given

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: We want to find area using geometry.

Q: Prove the statement by mathematical induction. 3+5+7+…+(2n+1)=n(n+2) 1. Proposition is true…

A: The given statement,   3+5+7+....+2n+1=nn+2

Q: sinx, x<0 x², 2-x, 1sx<2 |x- 3, x22 Osx<1 15. Let f be the function defined by the following. f(x) =…

A:

Q: Solve the following differential equation y"+2y' +y=x-1 Select one: O a. YG.S= Ce¯+c,e¯2x+x-3 O b.…

A:

Q: Use right and left endpoints and the given number of rectangles to find bwo approximations of the…

A:

Q: If the profit function for a product is  P(x) = 1200x + 80x2 − x3 − 58,000  dollars, selling how…

A: P(x)=1200x+ 80x2 -x3…

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Here to of the function is at point (1,5), On left side function is increasing ,and at right side…

Q: 24. Solve the system. [x, y] = [-9, – 1] + s{2,3] [x, y) = [-8,2) + 1{2.1]

A:

Q: What is the value of b in the following matrix equation? -3 11 a b O 26 +3 8 d 35 14 2 O 15 O 5 O 19…

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

Q: 5. Find the Maclaurin series for f(x) = In(1 Do not use the building block from the previous…

A:

Q: Determine "k" so that the vectors 3a- 4b and 5a+ 2k b are collinear. Justify your response.

A: Topic = Vector

Q: 7) Convert the coordinate (213,2) to point in' polar Coordinates. polar coordinetes.

A:

Q: 3. lim X→n/2

A:

Q: Find the exact value. Show all work, including a sketch: cos(sin-1 (),

A: We have to find the exact value

Q: . Find the point(s) on the graph of the curve f(x)= x 3 /3 +3x+4/x the tangent is horizontal

A:

Q: Determine the resulting vector when a = (6, –4) is rotated 60° clockwise and increased in size by a…

A:

Q: For the function y f(x) - la + 10: - df at x = 1. dx a. Find f'(1) = b. Find a formula for x =…

A:

Q: 49 x dx -7

A: answer is in next step

Q: Solve using quotient rule:  f(x) = (3x^2 – x + 4) (2x^2 – 1)

A:

Q: 1 of 22 Each of the following measurements can be identified as a scalar or a vector. For the…

A: The given data is: For the vector only, which one has the greatest numerical values.

Q: * Find the 2nd degree Taylor polynomial for the function f (x)=- 1 centered at x = -2.

A:

Q: Problem 2: Given a function 4x -1 f(x) = 2x +1 Use tabular method to determine if the limit of a…

A: