1 8. If y = 1+ a) Prove that y' = 0. b) What kind of functions have derivative 0 ? c) You can actually solve the above equation for y by forming a quadratic. Solve and see why your answer in (b) makes sense.

Q: Find fo g, g o f, and g o g. f(x) = 2x, g(x) = x4 %3D (a) fog (b) gof (c) gog

A:

Q: Felow are the polar coordinates. Find the Cartesian Coordinates. 5, 2

A: Topic:- coordinate system

Q: Pin()dt 10 In() 10+C 10 10 Select one: O True O False

A:

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your answer...

A:

Q: Consider the region bounded by the graphs of y=In x, x-1, and y=1. Which of the following integrals ...

A:

Q: 11. Find the slopes of the curve y y?- r2 at the two points shown hcrc. 2 (V3 = y2 - x?

A: we have the curvey4=y2-x2

Q: 16. Let p(z) = (x- 1)(x – 2)(xr – 3)(x – 4). Choose the correct statement: (a) For any number u, the...

A:

Q: Given the differential equation у" — у' — 12у %3D 7ез^ cos(x) Determine the Wronskian for the differ...

A: Solving wronskian

Q: List the first five terms of the sequence : (-1)"n an = n! +2 a1 =Number a2 =Number a3 = Number a4 =...

A: Given:            an = (-1)nnn!+2⊙Then, for a1  put n=1 in an:           a1 = (-1)1(1)1!+2Hence,    ...

Q: Find the area of the shaded region: y y = x - 15 x 20 10 y = x (4, 4) -6 2 4 6. (-4,-4) - 10 - 20

A: QUESTION-  Find the area of the shaded region

Q: Find the derivative of the given. f(x)= cos x cot x let g= cos x and h= cot x. Then, g'= -sin x an...

A:

Q: Approximate the integral to three decimal places using the indicated rule. c0.8 311 01 dx; Simpson's...

A:

Q: Determine if the given function is continuous at O. * (x² + 3 f(x) = {3 – 4x (x – 12 x 3

A: This question can be solved using the concept of continuity of a function at a point.

Q: -1 [cos'x{ v(1-x*)}]" dx log.{1+( 1+( sin (2xv(1-x²)) TT

A: Given: - The indefinite integral is, ∫cos-1x1-x2-1loge1+sin2x1-x2πdx  To find: - The solution of the...

Q: The profit (in thousands of dollars) from the sale of x thousand packages of note paper is given by ...

A:

Q: What is the value of f(x)dx; if ca+1 2 S* f(x)dx = ?

A: Integration

Q: 29-42 Find the critical numbers of the function. 29. f(x) = 4 + x - 30. f(x) = x' + 6x - 15x 31. f(x...

A:

Q: The present value of a sum of money is the amount that must be invested now, at a given rate of inte...

A:

Q: Solve the following differential equation. Finalize answer free of fractions and equated to y^n. 1. ...

A:

Q: Determine the value of x of the discontinuous function: х — 1 f (x) 3D {3х — 3 (-4x + 3 x 3 -

A:

Q: Question Determine the set of intervals where f(x) = V8x2 + 14x – 15 is continuous.

A: As per our guidelines we are supposed to answer only one question.kindly repost other question as a ...

Q: 27 dx 1 - 8 ,3 II

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: e 3* (2e 3x – 1) dx (e6x – 2)4(e3* + 1) + A 2e 3* – 1 | бх B 2e Ox – e 3x © (e3r_2)4 D D (e3+1)+ E e...

A: Please see the below picture for detailed solution. 

Q: In the following exercises, state whether each statement is true, or give an example to show that li...

A: Here, to state whether the given statement is true or false.

Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 25 m/s, its height (...

A: topic- derivatives and functions

Q: Given the differential equation y" - 7y' – 30y = 4x² cos(2x) Determine the General Solution for the ...

A:

Q: Sketch the region enclosed by y = 4x and y= 6x². Decide whether to integrate with respect to x or y....

A: Given query is to find area under the curve.

Q: a) Find the centroid of the circle. Enter an exact answer as a point. circle centroid (7, 9) b) Find...

A:

Q: (x - 2y + 3)dx + (4x + y + 3)dy = 0

A:

Q: Set up, but do not evaluate, an integral for the length of the curve. x = 8 sin(y), 0 sys " 2

A: Given: x=8sin(y), 0≤y≤π2

Q: (a) Solve the following: 1 (i) 2-6: 8

A:

Q: Evaluate: * (Зх— 1 f(x) = {5 (x + 2 x 2 x = 2

A:

Q: Given f(x) = x- 1 and g(x) = x2- 1 Find and simplify the following 1. g {f (x)} 2. g-1(x)

A:

Q: 15-28 Sketch the graph off by hand and use your sketch to find the absolute and local maximum and mi...

A: Find your answer below 

Q: S10ze² +!dz= Select one: O z'e*+1+c O 5e²+1 +c O 4re" +1 + c O 6e +1+ c O None of the other choices.

A: Integrate 10xex2+1 w.r.t. x 

Q: Find the area of the shaded region. r= 4 + 3 sin(0) TT - 2 2

A:

Q: cos a – sin' z Vhen asked on what is the lim which of the following process is not useful to find it...

A: Given query is provide the process of finding the limit.

Q: Find the directional derivative of the function at P in the direction of v. f(x,y) = xy P(0,-2) v = ...

A:

Q: Solve the differential equation with appropriate method. Express final answer free of fractions and ...

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we h...

Q: A 12-lb weight stretches a spring 2 ft. The weight is released from a point that is 1 ft below the e...

A:

Q: Let f(x) = V19 + x

A:

Q: 4. Find the volume V of the solid obtained by rotating the region bounded by the given curves y = Vx...

A:

Q: Describe data in terms of variability, association, and relative standing.

A:

Q: | (x + cos? x) dæ + | (2 – sin? 2)dæ =? - 0, 3

A:

Q: The radius of a circular puddle is growing at a rate of 15 cm/sec. (a) How fast is its area growing ...

A: Given :-  dr/dt = 15cm/sec  a) how fast its area growing when radius is 30cm  b) how fast its area i...

Q: 3x (2) Determine the inverse of the function ƒ(x)= 2x -5

A:

Q: 1- 2x b) f(г) — x² + 1

A: (b) To find the derivative of  f(x)=1-2xx2+1 The function is of the form f(x)=uv where u and v are f...

Q: Question 3: Evaluate the following limits, if they exist, by using the graph 3 -4 -3 -2 -1 3 -1 -2 -...

A: