3 If f(2) - 8, and f'(2) 4 - 1 Let f'(x) be the inverse function of f(x). (f-1)'( - 8) = - 1 Write the equation of the tangent line to f'(x) at - Y = Submit Question

Q: Find an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and (−1, 2, 3). Show all…

A: Here we have to obtain an equation of the sphere whose endpoints of a diameter are (−2, 0, 5) and…

Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A:

Q: Evaluate the integral | 3t³ (t² + 4)5dt

A:

Q: There are 2 pipes connected in a tank which contains 1,000 liters of brine. Brine containing 0.1…

A: Given information ----------------------------------------------------------------- Basic…

Q: Sx°Inxdx

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

Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 7 sin(x). If f(0) = 2 and f'(0)…

A:

Q: —x2 — 4х + 18 (Зх+ 4) (x? + 9)"*

A:

Q: 5. (4x3 — 6ху?) dx + (4y3 — 6ху) dy 3D 0

A:

Q: Consider the real sequence {an} given by an = In(n + 1) – In(n +2), n e Z20 = NU {0}. Justify…

A:

Q: 5. Determine the values of x for which the function is continuous. 3r +1 e. f(x)= /x – 3 2- 8 4x d.…

A: The function √(x-a) is continuous iff x>=a The function 1/(x-a) is continuous iff x≠a

Q: 4. 2 cos(2x – y) dx – cos(2x – y)dy = 0 - %3D

A:

Q: 6. Since 3 is a constant, use the following property of summation to find the sum 3i- | = 1 E ka; =…

A:

Q: Sketch the graph of f(x) sketching the graph of a function. Label your graph. = -3r – 4x² + 6x – 2…

A: Function

Q: Find the area of the specified region. (Do not count area below the x-axis as negative.) the area…

A: The area is bounded by the curves:y=25-x2 ; x axis ; x=-5 and x=5

Q: sin x Evaluate: / dx (cos x) 3 1. tan x- sin x + c an'x + C X, sin'x + C X. 3. 2 4. log (cos2x) +c…

A:

Q: can you check up the answer? it is not right

A: I have rechecked the work using calculator. It is correct.  Using calculator I have got: limn→∞…

Q: 2. For each of the following functions, find the indicated derivative using the definition. a. f (x)…

A:

Q: What is the equation of the circle with centre (,0) and radius 2? (2a- 1)2 + y? = 2 4. (2x-1)2 + y?…

A:

Q: ||P(t) × r"(t)|| Use the formula «(t) to find x(t). r(t) = t²i + t³j K(t):

A:

Q: 3. A rectangle is inscribed under the curve of f(x) = e-*², where one side of the rectangle lies on…

A: Follow the procedure given below.

Q: eMx cos nx dx

A:

Q: 5. Given y=af(1 Find when =1 if f(2) = tand f(2) = 5.

A: Topic = Derivative

Q: 3. Let the statements A, B be A: (not p) and q, B: (not p) or (not q). If p 0 and q = 1, then !! %3D…

A:

Q: Suppose there are 10 points in a plane such that no three points are collinear. How many distinct…

A: We have been provided with 10 points in a plane such that no three points are collinear.We need to…

Q: Arc Length With Vector Functions For problems 1 & 2 determine the length of the vector function on…

A: Since you have posted multiple questions which are not interlinked i can do first question as per…

Q: Find: d/dt (xe^x)

A:

Q: An equation of the tangent line to a curve at the point (2, 4) is y = x + 2. if at any point (x, y)…

A:

Q: Find an equation of the parabola whose graph is shown. y WebAssign Plot (49, -7)

A:

Q: Find the area under the curve y=sin2x from x=0 to x=3pi/4 A. 2 B. 1/2 C. pi D. 3/2…

A: The curve y=sin2x from x=0 to x=3π4

Q: r = 4 csc(0) – sec(0). Convert to an equation in rectangular coordinates. (Use symbolic notation and…

A:

Q: Evaluate the integral. 2 dt 1- t2 V

A:

Q: vergent, find its sum. (If the quantity diverges, enter DIVERGES.) 00 cos n° - Cos (n + 1)2 n = 1

A:

Q: Consider the function f(t) : 8 sec-(t) – 10t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: Topic = Anti derivative

Q: Evaluate the integral -2x + 4 dx J (x² + 1)(x – 1) -

A:

Q: 21. (x + y) dx + tan x dy = 0 %3D

A:

Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = (x – 5)3 g(x) = x - 5 y 1.5| 1.0…

A: This question can be solved using the concept of area under curves.

Q: 4. Find the exact value without the use of a calculator. Show all steps. (a) cos(45') cos(15') –…

A:

Q: An equation of the tangent line to a curve at the point (2, 4) is y = x + 2. if at any point (x, y)…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Determine whether the sequence converges or diverges. If it converges, find the limit.

Q: 12sin3xcos7x dx

A:

Q: Find the derivative of the function. g(t) = e−6/t4

A:

Q: Find a power series representation for the function and determine the radius of convergence. f(x)=D…

A:

Q: Assume the acceleration of the object is a(t) - -9.8 meters per second. (Neglect air resistance.)…

A: Given ,  Assume the acceleration of the object is a(t) = −9.8 meters per second (Neglect air…

Q: 1. Find particular solution of the following differential equation: dy 15- + 2r-3 dr - 3x-2 =0…

A:

Q: 19. A video store sells DVD movies and video games. Suppose 68 movies are sold at $25 each and 43…

A: Here given that 68 movies and 43 video games and the prices are $25 and $54 respectively.

Q: what

A: Please refer to the image below

Q: Evaluate ||e+ dA where D is the triangle with vertices (0,0), (-2,4) and (8,4). D

A: To find the value of given double integral.

Q: Evaluate the integral sec² x tan? x + sec x (sec² x + 1) dx 2 sec x tan x (sec2 x + 1)

A:

Q: V 2 y = 3 Vx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Consider the following series. n In(n) n = 2 Does the function f(x) satisfy the conditions of the…

A: This is a problem related to series and sum calculation. By evaluating integral we will answer the…