The graph of f', the derivative of the function f, is shown above. Which of the following could be the graph of f?

Q: find dy/dx in terms of x and y if x ln y +y^6 =8 ln x.

A: x ln y + y6 =8 ln x 

Q: Find fxy(-1, 2) if f(x, y) = 3xy2 - 2y + 5x?y2 O 40 О 34 О-32 -28

A: Let's find. 

Q: Find all volves of o,b ond c such that the func Ef×メ goo)= てメー1) 1チxg? 21 if x= 1 is continuous at x...

A: Given

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A:

Q: nctions f(x) = 3 + VI, 9(x) = x² – 3, %3D (a) (fo g)(x) (b) (go m)(r)

A:

Q: 5. Find the largest constant r so that o(x) = e"" is a solution to y"-2y"-y+ 2y = 0. -5 O 2 O 7/2

A:

Q: ,2 - x + 6 Integrate -dx. x3 + 3x The partial fraction decomposition is (write all terms as fraction...

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 5(- 1)*+12 k! ...

A: Find your answer below 

Q: Find the slope of the tangent line to the graph at the given point. (4 - x)y? = x3, (2, 2) Cissoid:

A:

Q: Find the arclength of the curve in the given interval. x = 3 cos? t , y= 3 cost sin t , 0 s<t <t

A: solution is written in below steps.

Q: (-1)"+l2nx" n2 +3 Determine the interval of convergence of n=1

A:

Q: z(z² – 1) -dz z2 + 1 1 ²-In(z² + 1) + C A B z² + In(z² + 1) + C 글(22+ 1)2+C (D) z² + (z² +

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A: Topic = Integration

Q: Simplify the expression without using a calculator. log

A: log√61 = ? Here we use property  logab = logkb/(logka) Use this  log101/(log10√6) log101 = 0 So the ...

Q: (sin x+ cos x). Find xp

A:

Q: 5n+1 Determine if the series > converges or diverges and choose the option that describes the behavi...

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

A:

Q: (-1)"+12nx" n2 + 3 n=1

A:

Q: 0.3t ug -) of a drug t hours after being injected is given by C(t) : ml The concentration (in Find t...

A: The concentration of drug,Ct=0.3 tt2+38

Q: Consider the following: 36x + 49y- 1764 (a) Find two explicit functions by solving the equation for ...

A:

Q: 6. Let a be a real number.

A:

Q: Given the function f, discuss its relative maximum and minimum points, the intervals where it is inc...

A: A function f(x) is increasing on (a,b) iff f'(x)&gt;0 ∀x∈(a,b) and decreasing on (a,b) iff f(x)&lt; ...

Q: Evaluate the integral -drz.

A:

Q: 1 2. Let e =. Determine the smallest choice of N > 0 such that N. 6 ' n(n + 1)

A: To determine the smallest choice.

Q: Find the sbe and equation of the TANGENT and NORMAL LINE to the curve Graph cach curve, Kormal, and ...

A:

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: Given query is to find the demand function and revenue function.

Q: The Laplace transform of a continuous function over the interval | 0, ∞) is def F(e) = / ° f(x)dx. T...

A:

Q: (a) If A is the area of a circle with radius r and the circle expands as time passes, find in terms ...

A:

Q: increasing decreasing

A:

Q: Question Select your answer. Find the equation of the tangent line of f(x) = x at r = -1 y = -2x + 3...

A:

Q: Given the following matrix and its eigenvalues -2 3 has eigenvalues R, = -3 and R, = 7 3 6 1. Find t...

A:

Q: dy Find the function y(x) satisfying = 30, y'"(0) = 4, y'(0) = 6, and y(0) = 6. 3 d'y = 30, y''(0) =...

A: Let's find. 

Q: If y=x^4−5 and dx/dt=−1, find dy/dt at x=−3.

A:

Q: 4.у%3D (2х — х3)(2х + 1)

A: Follow the procedure given below.

Q: 茂 cos x dx = 0 COS Select one: O True O False

A: This question is related to definite integration, we will solve it using given information. 

Q: The graph shows the contour map of seawater density p(S,T) (kilograms per cubic meter) as a function...

A: solution

Q: nyn (a) ► n² + 2-n n=1

A:

Q: find the slope of tangent line to curve y^2+x^2=y^4-2x at (-2,1)

A: Given function y2+x2=y4-2x  We have to find slope of tangent line at(-2,1).

Q: 4 dx 4+x4 4 V2

A:

Q: Consider the curve y=x(6-2x)^2 Find the local max./min. points of the curve.  Find the increasing/d...

A: Let us consider a curve y=f(x) x=a is said to be a critical point of this curve iff f'(a)=0 x=a is ...

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

A: Topic = Integration

Q: (3 Let f(x) = 2x2 01 waluate limits and continuity of f(x) at 1 and at 0.

A: The given function is f(x)=3x≤02x20&lt;x&lt;12xx&gt;1  and f(1) is undefined. Here we have to evalua...

Q: 2x² +3 dx x(x – x(х — 1)2

A: Find your answer below 

Q: Let the region R be the area enclosed by the function f(x) = 2 ln (x) and g(æ): revolved about the l...

A:

Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A: polynomial function is that in which the power is positive and non-zero integer. so here lets check ...

Q: Consider the funetion 1) Find the domain of glx) 2) Find lim g(x) and limg(x). 3) Find oblique asymp...

A: Solution: Given data ,  g(x)= 2√(x2+3x)

Q: {vñ – vn+1

A:

Q: A. Prove that the function is discontinuous at the number a. Determine whether the discontinuity is ...

A:

Q: 1. Determine if the set or relation forms a function. (a){(-2, 1), (2, 2), (–1,2), (1, 2), (0, 2), (...

A: Given

Q: Question Select your answer. What is the slope of the tangent line to the function -2 f(x) = at the ...

A: