b) A monthly service fee to download e-books is $4.95, plus $3.99 per book downloaded. Write an equation that represents the total cost, c, in a month when b books are downloaded. Explain how your equation represents the problem. 4.45+3

Q: Z A Consider the tetrahedron ABCD with vertex A at the origin as shown: (a) Find the equation of the…

A: Given that: A=0, 0, 0; B=0, 0, 3; C=0, 4, 0; D=6, 0, 0 We have to find:  a) An equation of a line…

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A:

Q: of the points where the parametric equation y = 3 cost 0≤t≤ 2T will have a horizontal tangent.…

A:

Q: Example Test the series Σ 11 for convergence or divergence.

A:

Q: Ju -To uv-s to Explain why the substitutions below are inappropriate. Let = x dx 1. Suppose we apply…

A:

Q: The law of Sines. b) Given: A= 36° a = 8 b=5 Find: B-? C-? c-?

A:

Q: Differentiate and simplify this function g (y) = y3 / ln(2y)

A:

Q: The function f(x) = 7 1+9x² f(x) = Σ cnan. n=0 Find the first few coefficients in the power corios…

A:

Q: hav is that not the function defined by ху f(x, y) √x² + y² if differentiable at (x, y) + (0;0) if…

A: We have to show that f(x,y) is not differentiable at (0,0)

Q: (b) Show that the function defined by √₂²+y f(x, y) = 0 if (x, y) = (0,0) is not differentiable at…

A: On solving this we will get

Q: 8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for r 2

A: Please see the the answer below.

Q: passes through the point P(3,7,2) and is perpendicular to the plane 3x − 5z – 7 = 0. -

A: The given point is P3,7,2 and the given plane is 3x-5z-7=0.We need to find the vector equation of a…

Q: 1-2x²=1+x+x²³ 2²-2²-1+2+ -2(-1) (2n + 1)! x²+1 sin x- ---- cos x=(-1). - (2n)! −2+4- 6! tan 'x-…

A:

Q: [ 2² cos z dr = f(z) sin r + g(z) cosz+c The value of ƒ (1) + g (1) is Blank 1

A:

Q: Q1: Find the general solution to the following differential equation: y"-2y'+y=x²-1

A:

Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

A: At 12.00 noon, there were 200 bacteria present.By 1:00 pm, there were 379 bacteria.

Q: Sketch a graph of a polynomial function that meets all of the following conditions: 3 is a zero of…

A:

Q: Question R is the region bounded by the functions f(x) = 1-3 sin (x) and g(x) = 3 cos (x). Find the…

A:

Q: Question 13 d²2 Which of the following satisfies the differential equation dx² A. y = e³x B.y = e-3x…

A: We need to choose correct option.

Q: (3 Ian and Ada are both training for a marathon. Ian's house is located 20 km north of Ada's house.…

A:

Q: 2. The function g(z) is obtained by applying the following transformations to the function y=-8. A…

A: Given problem:- The function g(x) is obtained by applying the following transformations to the…

Q: Assume that sin(x) equals its Maclaurin series for all x. Use the Maclaurin series for sin (7x²2) to…

A: Maclaurin series of sin(x) :              sin(x) = x-x33!+x55!-x77!+...

Q: The Taylor series for f(x) = x³ at -2 is cn(x + 2)". n=0 Find the first few coefficients. Co= C1 =…

A:

Q: 144° expressed in radians is _____.

A:

Q: x² + y² Briefly differentiate directional derivatives with suitable graph and equations.

A: This is a problem related to vector calculus. Based on the general formula and concept we will…

Q: It is easy to check that for any value of c, the function C y = x² + is a solution of the equation…

A:

Q: Find the first five non-zero terms of the Taylor series for f(x) = 1 3 Jo.[ + + + Written compactly,…

A: Use taylor series formula for the function

Q: 4. A population of squirrels is currently measured to be 500 squirrels a. Write a function P(t) to…

A:

Q: 1 St √√x" dx 4 1 S²₁ (x) ³² (X) 5 JX

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

Q: Determine the thirteenth term in the sequence whose nth term is an= -6n a. -66 b. 19 c. -78 d. 94

A:

Q: your cimal places. Radioactive substance X starts with a mass of 20 g. The half-life of the…

A: Given problem:- Radioactive substance X starts with a mass of 20 g. The half-life of the substance…

Q: Evaluate the spherical coordinate integral. 1- cos 2 2x x SS S p²sin dp do de 00 1- cos 2 2x x SS S…

A:

Q: A parallelogram has an area of 200 cm². The side lengths are 90 cm and 30 cm. Find the measures of…

A:

Q: A balloon is rising at a rate of 3 meters per second from a point on the ground 55 meters from an…

A:

Q: Let g(x,y)=2xy with x=x(s, t)=s²+t² and y=y(s,t)=s/t. Calculate gs and gt. Express your final…

A: Differentiate

Q: J sec x dx Vin (secx + tan x)

A: As per the instruction, we will be answering the first question. For (4),      ∫secxlnsecx+tanxdxLet…

Q: 10z Sketch the region enclosed by y = 5, y = el, and a = 1. Find the area of the region.

A:

Q: b) Use chain rule 1 y= LESANNE aretan u where u eª ue

A:

Q: b) R2x³ydA where R={(r,0) | 1<r<2, π/6≤0</4}. Sketch:

A: Note: these are multiple sub parts questions and according to our company guideline we can do…

Q: Suppose f (a) g' (b) h' TU IT (5) = −5. Let g(x) = f(x) sin(x) and h(x) = cos(x). Find the…

A: SOLUTION-

Q: problem: Find the vector below. ting the unit normal vector of A = 40 + 7 ₁ 0 - 3 K

A:

Q: Biologists have proposed a cubic polynomial to model the length L of Alaskan rockfish at age A: L =…

A:

Q: P3: Calculate the volume of solid of revolution when the region bounded by y = sin 2x and x²-y-2 = 0…

A:

Q: Which vector is not orthogonal to ū=? a. C. b. d.

A:

Q: Find an equation of the normal line to the curve of y = √x that is parallel to the line 2x + y = 1.…

A:

Q: a Find the general flow pattern of the network shown in the figure. b. Assuming that the flow must…

A:

Q: (b) Prove that the improper integral ]] converges. dr dy (1 + x² + y²)³/2

A: Given problem:-

Q: 2. Evaluate x sin ædr using integration by parts.

A: Given: I=∫xsinxdx   We know the basic integration formula. ∫sinxdx=-cosx+C∫cosxdx=sinx+C

Q: Find the tangent line(s) to the parametric curve given by z = t¹ - 9t² and y = t² at (0, 9).

A:

Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²+2c₂e³x Oy=e+c₁e³x +…

A: