Using the graph find:  f'(2) g'(2) d/dx [5f(x)+3g(x)] | x=2

Q: 5. { xe*dx (1 + x32

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Q: 1) Find the derivatives of the following. Simplify your final answers. d) l(x) = tanh-1 x + In v1 –…

A: Part d,Given,           lx=tanh-1x+ln1-x2To find : Find the derivative of the given function.

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A: As we know that the nth order Taylor's polynomial at x=0 is given by,…

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A: Apologies for the inconvenience. Correct solution is given below:   Given: vt=-4t2-2t-8, 1≤t≤6…

Q: Find the gradient of the function at the given point. In(x² – y) - 9, (3, 8) z = Vz(3, 8) =

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Q: C. Find the derivative of each function. x' - 2x 3. h(x) = 4. F(x)=sin x- cos x- tan x tan x D.…

A: Follow next step

Q: 4. Let f(x, y) be a function defined on a disk D not containing the origin which is given by f(r, y)…

A: See the answer below

Q: Solve: |2x – 4| < 1 Give your answer as an interval. Question Help: M Message instructor

A: Solve the given

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Q: ,on what interval(s), if any, is the graph of f(x) incre: always decreasing

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Q: Jsec?xtan3xdx

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Q: A theorem states that one local extremum implies absolute extremum. Verify that the following…

A: This question can be solved using the concept of maxima and minima.

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Q: dy by implicit differentiation. dx E. Find 1 ー+ー=2 х у 1 x² +y? = xy 2. 1.

A: the process of finding the derivative of a dependent variable in an implicit function by…

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

A: The given question has been solved in detail

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: To evaluate the given limit of the function.

Q: 5 Show that the function h(r, y) defined by if r +y? < 1 h(x, y) 0; if r +y 2 1 is discontinuous.

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Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. 2x x* +7 xp-…

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Q: If hyperbola 36x^2 - 49y^2 - 100 = 0 has an eccentricity of e= √85/7, what are the asymptotes and…

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Q: Use the given below to answer #s 33-35 40 and 0 is in Quadrant IV, then sin 0 =and tan 0 = 6. If cos…

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Q: A region bounded by f(x) = 3- x, y = 1, and x = 0 is shown below. Find the volume of the solid…

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Q: 2) Evaluate the following line integral: . 0+z)dx + (x + z)dy + (x + y)dz where C consists of the…

A: C1: (0,0,0) to (1, 0, 1)x-01-0=y-00-0=z-01-0=tx=t, y=0, z=tdx=dt, dy=0, dz=dtI1=∫01[(0+t)+(t+0)]…

Q: 3) Derivative Applications a) A particle moves according to the function f (t) = -9t2 + 15t, t 2 0,…

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Q: A closed cylindrical can is made so that the cover (upper) costs 3x as much as the lower base and…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3,…

A: First we find unit vector of v.

Q: Find a polynomial function with real coefficients that has the given zeros. (There are many correct…

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Q: The count in a bacteria culture was 500 after 20 minutes and 1100 after 40 minutes. Assuming the…

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Q: 4 d) En=2n-1 4n2 e) 0 En=1 n2+1 4 f) En=2 n2-n (Use partial fraction decomposition)

A: Explanation of the answer is as follows

Q: Evaluate the integral using integration by parts. cos

A: We can solve as follows

Q: Suppose that $83,000 is invested at 3- ,% interest, compounded quarterly. a) Find the function for…

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Q: Find the gradient of the function at the given point. In(x² – y) – 8, (3, 8) Vz(3, 8) =

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Q: 2, |-7- 8X-xT

A: Let's find.

Q: dy d. dx = y(xy3 – 1)

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Q: 5. What is the maximum vertical distance between the line v1+2 and the parabolh v for

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Q: 18. A farmer wants to fence in a rectangular plot of land adja- cent to the north wall of his barn.…

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Q: The diagram below shows the curve with equation sin 0 <I< 2n. The shaded area A is the area under…

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Q: The function h(t) represents the height of a ball above the ground (measured in feet) in terms of…

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Q: A/ 10 Evaluate 4/1+ cos 10x dx. A/ 10 4/1+ cos 10x dx =

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Q: Consider the function f(x) x - 2x2 - 4x + 1 on the interval [-1, 3]. Find f'(x). F'(x) = 3x – 4x – 4…

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Q: The telephone calls to a U.S. Congresswoman's local office between 9:00 A.M. and 12:00 noon are…

A: answer is in next step

Q: y' + p(x)y = q(x), p(x), q(x) E C(I)

A: We have to find the general solution of differenrial equation

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Q: The demand curve for original Iguanawoman comics is given by (486 – p)2 (0 sps 486), q = 50 where q…

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Q: 5x3–x²–1 21. Which of the following is an end behavior for f(x) = %3D A. 5 B. 5x3 C. + o D.0 O D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: find the derivative of f(x)=x/(x+2) using the limit definition of a derivative

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Q: Eliminate all the constant in the equation and simplify your final answer. 1. y = C,x + C2e*

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Q: Use the graphs to evaluate the expressions below. fx) 5- 8(x) 5- 4- 4 3 -1 2 4 5 6 -1 2 3 4 5…

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Q: 2x find | x¯ dx

A: Solve

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A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How…

A: Given problem:- A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5…