4. y = cos and y = 0.5, for 0 ≤0 ≤ T f(0) = cos 0 -2 0.5 0 -0.5- -1+ + 1 g(0) = 0.5 + 2 3 40

Q: Use the graph of f in the figure to do the following. a. Find the values of x in the interval (0,5)…

A:

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

A: according to bartleby guide line we do only first part of multiple. there for please re-post other…

Q: Use the graph of F to find the given limit. When necessary, state that the limit does not exist. lim…

A:

Q: Q2) (i) Find the binomial expansion of  (1+x)−2  up to and including the term in x2  as well as the…

A:

Q: Find the volume, V, of the solid obtained by rotating the region bounded by y = 3x², x = 0, y = 4…

A:

Q: Find the derivative. f(x) = (x¹+x) -95

A:

Q: In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs.…

A:

Q: Find f, fy, f₂. f(x,y,z) = (4x² + 4y² + z²) e

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: Sketch a graph of the following hyperbola. Find the center, vertices, foci, and asymptote equations…

A: Given: x^2/ 36 - (y− 1)^2/4 =1

Q: 8 A 3 B Note: Triangle may not be drawn to scale. Given the triangle above, answer the

A:

Q: How many steps does a limit proof have? What are they?

A: We have to write about the steps involved in limit proof.

Q: 25. All solutions are asymptotic to the line y = 3-t as t → ∞.

A: (25) Given that , y=3-t Construct a first order liner differential equation whose solution have the…

Q: If a = (4, 0, -1), find a vector b such that comp₂b = 3. b = X

A: a=<4,0,-1>ab=3ab=a→.b→a→let b=<b1,b2,b3>

Q: Let r(t) be the rate at which a swimming pool is being filled with water, measured in liters/minute,…

A:

Q: For the given function, find (a) the equation of the secant line through the points where x has the…

A: y=f(x)=x2+xat x=1 , x=4 (a)  equation of secant line is y=mx+c,  where m is slope

Q: What limit must be calculated to find the rate of change of a function g(t) at t = t0?

A: To determine the limit that must be calculated to find the rate of change of a function gt at t=t0.…

Q: what is a point on the x axis that is eqidistant from the points (-3,4) , (5,-6).

A:

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) F(x) = if…

A: We have to find the limit and graph the function.

Q: Use a graph of f or some other method to determine what, if any, value to assign to f(a) to make f…

A:

Q: X . Find and simplify completely the difference quotient, 3x + 1 h0. You must show all your work as…

A: Topic:- application of calculus

Q: An arc of length 19 meters subtends a central angle of 288 in a circle. a) Find the circumference of…

A: Given query is to find the area of the circle.

Q: 1 9. Describe how the graph of y = log x + 2 relates to the graph of y=1 = log(x).

A: The given function y=log15x+2. We have to find how the graph of y=log15x+2 relates to the graph of…

Q: Given that f(x) = x² - 14x and g(x) = x + 10, find (a) f(x) + g(x)= (b) f(x) = g(x)= (c) f(x)g(x)=…

A: Given that fx=x2-14x and gx=x+10, to find a fx+gxb fx-gxc fxgxd fxgx

Q: Assume that the function G(x) is measured in zots and x is measured in toots. What units would G'(x)…

A:

Q: Assume that the domain of f is the set A = {−2, −1, 0, 1, 2}. Determine the set of ordered…

A: f(x)=x2-7

Q: The curvature of the helix r(t) = (a cos t) i + (a sin t)j + bt k (a,b20) is k=- 2,2 a+b What is the…

A: Given helix:- rt=acostiasintj+btk

Q: 3x²-3x+10 (x-2)(x²+4)

A: D=3x2-3x+10(x-2)(x2+4)3x2-3x+10(x-2)(x2+4)=A(x-2)+Bx+C(x2+4)

Q: Question 2 You want to use the tube method to find the volume of the solid obtained by rotating…

A: Given: use the tube method to find the volume of solid obtained by rotating about y axis the region…

Q: 4. Which line passes through the origin? O A y=3 OB y=x-3 O cy=-3r ODY 2r 1

A: standard form of line is y=mx+cwhere m is slope of line

Q: A homeowner wants to enclose three adjacent rectangular pens of equal size, as in the following…

A: Let suppose  Length of rectangular pen = x feet Width = y feet Now perimeter x+x+y+y+y+y = 360 feet…

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x…

A:

Q: As the financial consultant to a classic auto dealership, you estimate that the total value (in…

A: The given data is: v=310000+990t2    t≥5p=ve-0.05t To find:  When would you advise the dealership to…

Q: 2. Let g(x) = f(x) u(x) where f is the quadratic function from problem 1 and u is the unit step…

A:

Q: Solve the exact equation ( 1⁄2 + 2x) dx + ( + + 2y) dy = 0. x Y The solutions are of the form F(x,…

A:

Q: 6. Let y = f(x) be a function that is differentiable at all real numbers. Suppose f has the form:…

A: given  f(x)=cx2-b  if x≤4-2x+c  if x>4given  f(x) is differentiable at all point

Q: . Given that y = 3x - 7 is tangent to y = f(x) at x = 2, find the tangent line to y = xf(x) at x =…

A:

Q: An arc of length 19 meters subtends a central angle of 288° in a circle. a) Find the circumference…

A:

Q: x² + A X find the value of A. 3. Suppose that f(x) 1 8' If f'(2) = = where A is a constant.

A: f(x)=x2+Axf''(2)=18d(xn)dx=nxn-1

Q: Solve. Be sure to show and explain your work. log₁(x + 3) + log(x − 3) = 2

A:

Q: Suppose lim f(x) = 9 and lim g(x) = -8. Find x-2 x-2 lim (5ƒ(x)² +6ƒ(x) — 7g(x)³ + 3g(x)² − g(x) −…

A:

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

A: given point is (7,3,1)and perpendicular to  4x-4y+4z=7we know parametric equation of a line…

Q: Find the slope of the polar curve at the indicated point. r = 9 (1 + cos 0), 0 = 2/ O 4√2 0-2 01-√2

A:

Q: (a) Approximate the definition of the derivative with small values of h. (b) Use a graphing…

A:

Q: more than one option is the answer.

A: fx=x2-x-20x-5,x≠510,x=5 Also, we have computed that, limx→5fx=9 Let's verify each option one by one.

Q: Use the following tables for f(x) and g(x), and just fill in the tables shown below: 0 1 2 3 4 5 x y…

A:

Q: Jo 2x t² sin 2t dt

A: Given query is to find indicated integral.

Q: Use technology to find f'(3), f'(16), and f'(-3) for the given function when the derivative exists.…

A:

Q: Suppose the speed of a car approaching a stop sign is given by v(t) = (t-20)², for 0 st≤ 20, where t…

A: Please see the below picture for detailed solution.

Q: ius, r, in centimeters, of a melting snowball is given by r = 60 - 2.5t, where t is the time in…

A: Given query is to find the volume formula in terms of time.

Q: For what value of x does the graph of the function f(x) = x² – 3x have a horizontal tangent line?

A: f(x)=x2-3xfor horizontal tangent line slope is zero slope is df(x)dxdxndx=nxn-1