Write the function g(x) (in blue) in terms of the function f(x) (in red). 2 -3 -2 6. -1 5.

Q: if y=6x^5, then dy/dx=

A: We know that; The Power law: ddxxn=nxn-1 And a.f'=a.f' Given: y=6x5

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Q: Find the following limit. If the limit is an integer, record the value of the integer (fractions sho...

A: Use the basic of continuous function. 

Q: Let each of the vectors A = 5a, -- a, + 3n,, B = – 2a, + 2a, + 4a,, and C - 3a, – 4a, extend outward...

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Q: Question Evaluate the following limit using L'Hospital's rule. lim 3 In (x) 15х — 15 Provide an exac...

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Q: x(x* –1) dx x' +1

A: This integral is of expression a2 + x2 . 

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Q: Question 1 Find the limit. lim,-0(1 + 6x )' where r = 9/x. Write the exact answer. Upload your work ...

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Q: The contours of f are a sheet faling off to zero not defined parabolas lines

A: Here is the image of the graph in the 3d. Blue is z axis.

Q: esin x dx secx

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Q: Find the solution of the differential equation (x+ Vy² + 1)dx – (y - ху dy = 0 %3D Vy2+1,

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Q: A. Evaluate each of the following indefinite integrals: S*(1+v*) -ldv (cor-ly2) 2.

A: Solution is given below:

Q: faywyn = fæwwyy fææryy xyx xxxYy True False

A: Given :

Q: A function f satisfies the following conditions. f(-3) = 2, f' (-3) = 0, f(-1) = 5, f' (-1) = 0, f (...

A: Given that the function f satisfies the following conditions f(-3) = 2, f'(-3) = 0, f(-1) = 5, f'(-1...

Q: For what Values Of X IS tne wing geommetric series convergent? 1++ 27 1) x>0 2) -1<x<1 3) -3<x<3 4) ...

A: Topic:- series   

Q: For the function f(x) = 3* find fx-2)

A: Given that: f(x)=3x.   NOTE: As per our answering guidelines, we can only answer 1 question or 3 sub...

Q: For the function f(x) = 3* find f(x-2) Compute *t1®if f(x) = ax +b h

A: 1. The given function f(x)=3x2. f(x)=ax+b

Q: Find dy/dx, if y=(x^2+2)^4 (2x−3)^5 dy/dx = _______

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Q: 7/3 tan'x secºx dx 30.

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Evaluate the integral. 25 In y dy 16

A: Given problem:-

Q: A man, 1.59 m tall is walking on a horizontal street at 2.5 kph away from a vertical street light, 2...

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Q: The average change of a function f over an interval [21, 12] is f(x2)–f(#1) First find the average r...

A: The given function f(x)=11x2-13x

Q: if 2 and gcx) -X and h =1-2X %3D Find, fog fog, gof, gog, gofoh, fof > fof .

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Q: 4. Use the graph to find the following characteristics of a polynomial? K/5 4) Use the given graph t...

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Q: Determine the form of a particular solution of the differential equation y" + 9y = e*cos3x + x² + x³...

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Q: f (x, y) = 4xy² + 5a°y fzy (1, 1) = hx

A: Given: - The function is, f(x,y)=4xy2+5x3y To find: - The value of fxy(1,1)=

Q: Find the limit of the infinite sequence. (2n–1)² n²+8 tn Enter dne if the limit does not exist. If t...

A: Given that: tn=(2n-1)2n2+8

Q: л- 25х — х? — ху - 2у? + 30у - 28

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Q: Let g (æ) = 7/x+ 5x . Use the limit definition of derivative to find the derivative of g(x) at 2. Up...

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Q: g(t)=4t^3+3t^2, find g’(3)=

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Q: se the definition of the derivative to find the derivative of: f(t) = -4 – 2t. (t) =

A: Topic:- derivatives

Q: Find the piact farglhofthe Curve ー7 カ+6-6 2ナタナ

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Q: 5 In x Evaluate f r/1- Inx

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Q: Question Evaluate the following limit using L'Hospital's rule. (푸)( lim (cos(6æ))

A: We will solve the given limit by L' Hospital rule

Q: Find the integral. e4X cos 3x dx + C

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Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

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Q: The cost of certain piece of machinery is $ 700 and its value is depreciating with time according to...

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Q: Find the Domain and Range x-4 1. y

A: Given that: y=x-4x       NOTE: As per our answering guidelines, we can only answer 1 question or 3 s...

Q: The temperature of a metal ingot is 60°C above room temperature right now. Ten minutes ago, it was 6...

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Q: Find the total mass of two turns of a spring with density p in the shape of the circular helix below...

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Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

A: Here,              We have given a function and we have to find its 3rd derivative.         So , the...

Q: Find the limit of the infinite sequence. 27,93 1 1 Enter dne if the limit does not exist. If the lim...

A: Given query is to find the limit of the sequence.

Q: Use the information to answer the question. A student was given x - 1 when x <2 f(x) = 3x when x22 T...

A: Given that: f(x)=x2-1 when x&lt;23x       when x≥2

Q: Find a parametrization of the ellipse centered at the origin in the xy-plane that has major diameter...

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Q: Find the limit: limt t→0⟨(e^5t)−1/t,t^11/(t^12−t^11),−7/8+t⟩ ⟨  ,  ,  ⟩

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Q: Problem 1. Set 2x f (x) = | V16+ t+dt. (a) Show that f has an inverse. (b) Find (f-1)'(0).

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Q: 2. Evaluate the following functions using the given relations. f(1) = 4 ; Relation: f(n+1) = 5 - [f(...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: find the average value of the function on the given interval 7T 5. COS on 0, 6. sin x on (0, 7)

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Q: Find the values of 'a' and 'b' that make the following piecewise function differentiable everywhere....

A: We have to find value of a and b for given Questions.

Q: 2t – 3t2 | (c) h(t) %3D a = 1 1 + t³

A: