9. y" - y' - 2y = 4x²; y(0) = 1, y'(0) = 4

Q: Use the Fundamental Theorem of Calculus to find the derivative of 14 F(x) = [*¹* tan(t¹)dt = I

A:

Q: Sandra The parallelogram of two sides are 2i-4j+5k and i-2j-3k. Find the unit vector parallel to its…

A:

Q: Find parametric equations of the line that contains the point P(-2, 1, -3) and intersects the line…

A:

Q: Consider the function below. f(x) = 2 + 2x²x4 (a) Find the interval of increase. (Enter your answer…

A:

Q: a) Given the matrices i) ii) 154 V=-3 3 1 VT and WT. |WTVT. and W 1 2 0. Determine 2

A:

Q: A mass weighing 32 pounds stretches a spring 2 feet. Determine the amplitude and period of motion if…

A:

Q: Use the Chain Rule to find dw/dt. w=ln(sqrt(x^2+y^2+z^2)) x=6sin(t), y=9cos(t), z=8tan(t)   dw/dt=?

A:

Q: y = ln (5x³ — 9x) y=(lnx)* + log4x+ln4

A:

Q: Find the angle between (-1,-2) and (-6,3)

A:

Q: Determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle. A = 46°, B…

A: Some measures of the triangle are given,

Q: Determine the vertical asymptote(s) of the function. If none exists, state that fact. 9x - 2 X-8…

A:

Q: 11. 1·2¹ +22² +3.2³ +...+7.27

A:

Q: NOG 5 0 2 e of the following limit? f(f'(2x - 3)) lim x3 3x² 10x +3 1 74

A:

Q: Find the average value of the function over the given interval. y = x^2 - 5x + 4; [0, 9]

A:

Q: 1- Suppose the wholesale price of a certain brand of medium-size eggs p (in dollars/carton) is…

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A: Given that to find the interval of convergencelet  and using ratio test then limit

Q: Determine £¹{F}. F(s) = 7s²-18s+7 s(s-7)(s-4) ***

A:

Q: 1- 2х + x2 dx х2

A: To Find :

Q: Find the center of mass of a lamina as pictured below, with inner radius 3 and outer radius 7, with…

A:

Q: 34. a) Find the area of the region bounded by y = x – 2, y = −x, and y = √x. b) Find the average…

A: Since, you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: Let Cox) represent the cost and R (X) the revenue in dollars, associated with producing and selling…

A:

Q: Determine whether the sequence defined by an 8+9(-1)" converges or diverges. If it converges, find…

A:

Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

A:

Q: The following infinite geometric series will have a finite sum: 1-+-+... True O False

A:

Q: Answer each question part, showing your step by step workings to reach the conclusion. a) Simplify…

A: Note:-Since you asked multiple subparts , according to our policy we can solve only first three…

Q: Steven's Cat Math: This weekend I observed a cat, known as Fluffy, running across a branch and…

A: 1) At 0.255 seconds, Fluffy reaches the peak of his trajectory.To get the height substitute t =…

Q: Calculate the coefficients of the first four terms of the binomial expansion for the binomial (x +…

A:

Q: • N/W [ (x³-3x) dx - 1

A:

Q: 2. Parameterize the line segment that joins the points P(1,2,0) and Q(1,3,-1)

A:

Q: The total monthly revenue R(x) generated from sales of math f-shirts, is related to the amount x…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim xy8 (x, y) → (0, 0) x3 +…

A:

Q: Find an equation of the plane that passes through the point (-1, 6, 0) and is perpendicular to the…

A:

Q: Find the general solution for the following differential equations 1. 2y" + 18y = 6tan 3x

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 28. a) Find the volume of the solid that lies under the plane x + 2y-z+5=0 and above the rectangle R…

A:

Q: Consider the function f(x) = 62²-82¹. (a) Find all critical numbers c of f. (b) f is concave up for…

A:

Q: Sketch the graph of a function y=f(x) that satisfies the given conditions. No formulas are required-…

A:

Q: rs -D -4-3-2 5 3 2 -3 -5 Determine the intervals where the derivative of this graph is positive and…

A:

Q: The graph of a derivative f' is shown to the right. Use the information in the graph to determine…

A:

Q: Find the exact value for the expression under the given conditions. 3 sin (a +ß), cosa = for a in…

A:

Q: Evaluate using integration by parts or substitution. Check by differentiating. In (x + 11) dx

A: The given integral is .We have to evaluate the integral.

Q: Find the distance between the complex numbers in the complex plane. -3+, -9 + 3/

A:

Q: Show that the lines L₁ : x = 1 − t, y = 2t, z = 2 + t and L₂ : x = 1 + 3t, y = 3 – 6t, z = 5 – 3t…

A:

Q: Find fog and your domain 3 X f(x) = -1, g(x) = ₁ X x+1

A:

Q: •π/4 sec 0 tan60 de

A: Given the idefinite integration.

Q: 23. Evaluate the iterated integral. f²f (6x²y - a) (6x²y - 2x) dydx ») ff ² (4x² – x²y³²) dydx

A: Definite Integral

Q: Use polynomial long division to find the quotient and the remainder when -3x³x²-3x + 1 is divided by…

A:

Q: A long jumper leaves the ground at an angle of 20° above the horizontal, at a speed of 9 m/s. The…

A:

Q: Calculate L4 for f(x) = 36 cos (2) over L4 = - over [27,27]. 4

A:

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

A: The solution is shown in step-2

Q: y = 6x+5 y = sec(ln x) + In(secx)

A: