Problem 12: Let f(x and g(x) be functions. Suppose we know that f(6) = 3, f'(6) = 1, g(6) = 2, and g'(6) = = -1. If h(x) = 2/F(x) + 3g(x), what is h'(6)?

Q: V -/1+/x - 1 1+/x +1 · IVx tan 2 tan dx 1+/x +1+//1+/x -1 -1

A:

Q: 5. Which of the has a domain of (-0, +o)? a. f(x) =x b. f(x) = x? c. fx) =x d. f(x) =x* 6. Given the...

A: Use the basic property of function and composition of function. 

Q: 12. Find the value of the limit: lim a. +00 b. -00 d. Indeterminate

A:

Q: The slope of the tangent line to the curve y 2a at the point (- 5, – 250) is: The equation of this t...

A: here for slpope we have to differentiate function y =2x3 dy/dx = 6x2 slope at (-5 , -250) dy/dx = 6(...

Q: 11. Evaluate the lim a. +00 b. -00 C. d. Indeterminate

A: Given:        limx→0-1x4       =limx→0-1x4

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: I am attaching image so that you understand each and every step.

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = t2i 1,3K 4tj + %3D (a) r'(t) (b) r"(t) (...

A:

Q: Consider the initial value problem y = sin(at), y(4) = 1 Use Euler's Method with five steps to appro...

A:

Q: rtoo Е. re dx स०२२

A:

Q: (6) Shipping fees (or shipping charges) are often based on a formula that offers a lower charge per ...

A:

Q: etermine f(x) given that f'(x) = t* – t³ + t2 +t – 1

A:

Q: 2 -х - 2 - 6x² - 7x, - 3y² – y³\ -y- 2y2

A:

Q: Use the intermediate value theorem to determine whether the function f(x) = x° + 6x- 8 has a root or...

A: Now to get it is he hard part. You have to start with 1 and 1.5 as borders. If the root lies within ...

Q: Find d'y /dx? Y = xtan (-)

A:

Q: x -4 ifx<2 Determine f(2) if f(x)= {2-x if 2 <x<4. x-2 if 4 <x

A: Given,           fx=x2-4if x≤22-xif 2&lt;x≤4x-2if 4&lt;xTo find : Determine f'+2.

Q: 21. Determine whether the function g(x) =2+x, x<2 a. Continuous b. Discontinuous is continuous at x=...

A: Since, you have posted multiple questions. As per guidelines we will solve only first question. If y...

Q: Q1: Answer A OR B A - Evaluate the following integral. e2x cos3x dx

A: let I=∫e2xcos(3x) dxlet  u= cos(3x) ,  v =e2x I= ∫cos(3x) e2x dx∫cos(3x) e2x dx= cos(3x)e2x2+∫3sin(3...

Q: A sphere has a volume of 36 cubic meters. The rate of change in volume is 9 cubic meters per minut...

A: Let's find. 

Q: function 16-x, x 22 а. 1 b. 2 . 3 d. 4 efer to item #15). What is the value of the right-hand limit?...

A:

Q: x+2 8) Let f(x) = values of x at which the function is discontinuous. Determine the +x – 2 Determine...

A:

Q: Find the average value of the function over the given interval. (Round your answer to three decimal ...

A:

Q: Evaluate the given integrals. 2. S sin?x sin 2x dx

A:

Q: Q3 : Evaluate the following integral. x+V9-x2 xps

A:

Q: - Evaluate the following integral. | e2* cos3x dx

A:

Q: Select ALL possible answers if there is more than one. * 1 16 Let f(x) =- ifx<- 2 . If f(x) is conti...

A: Let's find. 

Q: Test I. Choose the correct answer from the given choices. If the answer cannot be found from any of ...

A: In multiple question wr are only allowed to answer the first question and in multiple sub part we ar...

Q: 10 [(3-4w)(4w - 6w+7)" dw.

A:

Q: Prove that lim(4x² – 25) = -9 X-2

A:

Q: Q3/B/ Find the value of unknown in the following 1 -2 7 1 -2 7 ? -2 7 19 5+4 ? 1-5 16 6 ? 3 6 -3 3 6...

A: 1-271956c3 + 1-274b16-33 =a-275166-33First row and third row:There are no additions being done on th...

Q: 3. For what value of x will the slope of the tangent to f(x) = 3*e* +5x +17 be equal to 5?

A: We can solve the given question as follows:

Q: Find the volume of the following solid. The solid above the region R= {(x,y): 0<x<2, 0sy<4-x} and be...

A:

Q: DO NOT include spaces in between characters. I(x) If f(4)=3 and f'(4) = –5, find g'(4) when g(x)= Yo...

A:

Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, -7) and the vector component of v orth...

A:

Q: Suppose that f is a function given as f(z) = x – 5. Simplify the expression f(x + h). f(x + h) = %3D...

A:

Q: 25. If n + 0, then cot x csc" x dx = - cot" x А. - csc" x В. cscn+1x +C +C - cotn+1 x D. +C С. n +C ...

A:

Q: Write an equation for the function graphed below -7 -6 -5 -43 -2 5 6 7

A: y=0at x=0, 3vertical asymptotes;x=-1, x=4There are no maxima or minima.y=x(x-3)(x+1)(x-4)

Q: Activity 2: Express y in terms of x in the given equations if it is possible. 1. 2x+y=8

A:

Q: Select ALL possible answers if there is more than one. 1 if x<- 16 2. If f(x) is continuous at x =: ...

A: Differentiable

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 50 cos 50 do

A:

Q: 1 Find the derivative of g(x) = Vx-1 Find f'(x) and f"(x) of f(x) = 11x³.

A: Here we have to find the derivatives of the given function.

Q: Consider the following equations. F(x) = Vx + 5 g(x) = x + 5 %3D Sketch the region bounded by the gr...

A: Graph of the curves÷

Q: Solve the assigned situation to you and create an appropriate word problem on given values. Show the...

A: It is given that, the foot of the ladder is sliding away at a rate of 1.5 m/s when it is 4 meters fr...

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 6j + 9k and the vector component of v ort...

A: We know that, vector component of v on b is v.bb2.b Therefore , vector component of v on b is =(2i^-...

Q: 6. Find the minimum surface area of a box that holds 2 cubic meters.

A:

Q: iven curves. y - x?, y - 2x - x? y

A:

Q: Let a = ci + j and b = 3i + 4j. Find c so that the angle between a and b is. Round your answers to f...

A:

Q: lim ( In 2x + 5) + 4 X-1

A: The given limit,       limx→-1ln 2x+5+4

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: (1) As x→ t0, the end behavior of the polynomial p(x) = 3x°(1 – 2x + x°) can be resembled as (A) p(x...

A: