Find the derivatives of R(v)=(14r-3)

Q: x' +4 a. lim X-4 x-2 %3D x² -1 b. lim- xl x' -1 Vx - Ja lim- с. х —а

A: topic - limits

Q: You would like to use differentials to approximate the change in BMI when weight increases from 55 t...

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Q: 2.Determine the convergence of the following sequences {b»} = (1- ).(§-).(E-9.(G-).-.

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Q: x. 200 sin 3x 43. lim x0 5x - 4x

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

Q: (a) A curved wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicular to t...

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Q: 8.) C1-cose 1-05 do sin

A: Given that ∫1-cosθsinθdθSolution;∫1-cosθsinθdθ∫1sinθ-cosθsinθdθ∫cosecθ-cotθdθlncosecθ-cotθ-lnsinθ+c

Q: Consider the following function. S4x + 1, x s 1 f(x) 16 – x², x > 1 %3D

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all tha...

A: f(x)= (x-2)(x-5)(x-7) , [2,7] 

Q: Use the given point on the unit circle to find the values of the sine and cosine of t. (0.111, 0.994...

A: Given query is to find the value of sine and cosine function.

Q: (a) The curve with equation y² = x³ + 3x2 is called the Tschirnhausen cubic. Find an equation of the...

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Q: 4 Find the derivative of: – 9/x - Type your answer without fractional or negative exponents. Use sqr...

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Q: (1+cot 0) de 5. sin e14 - cot? e

A: The objective is to evaluate the integral.

Q: Find the transition points. f(x) = x(3 – x)/3 (Use symbolic notation and fractions where needed. Giv...

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Q: Find the area of the surface generated by revolving the curve - 5x y = e x > 0

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Q: f (x) = v2 – x at x = 1

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Q: -3xdx 8.

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Q: Let f(x) = – 3x + 4. According to the definition, f'(x) = lim |(enter the limit in reduced form) f'(...

A: The given function,  f(x)=-3x+4

Q: 9. 7) cosho do cash? e-1

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Q: Find (f o g)(x) and (g o f)(x). f(x) = 4x² – 1; g(x) == (fo g)(x) =| %3D (Simplify your answer. Do n...

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Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. Show all work! 2x 1 lim X...

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Q: (b) Find the volume of the region D bounded in back by the plane r 0, =0, 1-y, on the top by the par...

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

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Q: csch (2 sin2x)dx 1. 1– 4x²

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Q: Find the derivative of the function. y = xe-x8 %3D y' = %3D

A: Given: y=xe-x8

Q: The graph of y = f(x) (solid) and its tangent line at (0, - 5) (dashed) is shown. 10+ 6- 4- 10 -9 -8...

A: Given: The graph of y=f(x) and its tangent line is at (0,-5) (dashed) is shown.  

Q: Use any method to determine whether the series converges or diverges. VE 00 Σ k=1 + 27

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Q: Find a point c satisfying the Mean Value Theorem for y=sqrtx on the interval [9,25]

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Q: csch (2 sin 2x)dx 1. V1-4x

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Q: Use the reduction of order formulas to find the inverse Laplace transform of (2s+2)/(s^2-6s+10)^2

A: Solution is here 

Q: Find the area of the surface generated by revolving the curve y = Vx + 3, 4 < y <7 around the y-axis...

A: We have to find area of the surface . Given y=x3+3                                 4≤y≤7

Q: If x tan x 3, what is the value of -x tan (-x)? %3D

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Q: Find a linearization that will replace the function over an interval that includes the given point x...

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Q: Graph the function along with secant lines AP, BP, CP where A = (0, 9) B= (1,7) C = (1.5,4.5) P = (2...

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Q: Find the derivative of the function. f(x) = V3 - 6x2 %3D f'(x) = || %3D

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Q: Determine the point(s) at which the given function f(x) is continuous. 8 f(x) = x-4 - 7x Describe th...

A: The objective is to determine the set of x values where the function is continuous. 

Q: Estimate the volume of material in a cylindrical shell with length 48 in., radius 4 in., and shell t...

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x² ...

A: Continuous and differentiable checking

Q: Try to observe the graphs below : y f(x): y= f(x) y3f(x) y = f(x) (a) (b) (c) (d)

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Q: Given f(x) = 3 – 4x°, find f'(x) using the limit definition of the derivative. f'(x)=

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Q: Compute the following integral problems [10x -12x -5 dr

A: Our Aim is to compute the integral given below:-∫10x9-12x3-5 dx  -(i)

Q: 6+ r Given f(x) = find f'(x) using the limit definition of the derivative. 7+1 f'(x)=

A: By limit definition of derivative f'(x)=limh→0f(x+h)-f(x)h       f'(x)    =limh→06+x+h7+x+h-6+x7+xh ...

Q: Determine whether the series converges. 1 Σ Ve k=1

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Q: 7 Let f(x) = 7 The slope of the tangent line to the graph of f(x) at the point - 3, is The equation ...

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Q: Ssin8 (3z) cos5 (3z) dz

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Q: Find the exact value of sin 20, cos 20, tan 20, and the quadrant in which 28 lies. sin 8= 48 0 in qu...

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Q: Find an equation of the plane tangent to the surface 9x +y - 20z= 0 and parallel to the plane 8x - 6...

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Q: Solve for x. |3x-5| s6 What is the solution? Select the correct choice below and fill in any answer ...

A: We will solve the given inequality and inverse of given functions as shown below

Q: 5. f(x) = 2x² – x + 6 for all values of x 6. f(x) = 5 at x = 2 x-2

A: On solving this we will get

Q: A student drew the graph of y = f(x), y = f'(x), y = g(x), and y = h(x). Unfortunately, they forgot ...

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Q: 7. (1+x*)dy + x(1+ 4y°)dx =0

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as...