I need help solving questions like this, step for step with as much detail as possible please. thank you find f'(x) for f(x)=2x^5+6x^8

Q: A toy racecar races along a circular race track that has a radius of 27 meters. The racecar starts a...

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Q: if y= 1/2x^3 then find y`(0.50)

A: We find y' or first derivative of y using power rule. d/dx(x^n)= n*x^(n-1)

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 5 – x2, 0 <...

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Q: Use the definition of the derivative to find the equation of the tangent line to the graph of   squa...

A: Identify the slope of the given line 6x+3y=4           The slope is identified to be m=-2.   The...

Q: FInd the derivative of  y=(3x-2)2(5-x5)4

A: Assume u=(3x-2)2 and v=(5-x5)4 Differentiate the function u with respect to x. Assume p=3x-2 Differ...

Q: these are review questions for exam, i was absent when these were covered please help with #9 and #1...

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: I need help with question #55 on page 216 in the James Stewart Calculus Eighth Edition textbook.

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Q: 1x+ 7=3 7-4x 2. Evaluate lim,→∞( x2 4. ) exactly. S

A: To evaluate the below limit

Q: EXAMPLE 1 Find the derivative of e as of x that are equa so (a O (a) f(x) = ln 6x rst step that we n...

A: Given the function f(x) = log3x

Q: Simplify the difference quotient  f(x) = x^2-2x+5   f(x+h)-f(x) / h

A: Given: the function is

Q: Evaluate the following integral. S dx x (x² + 4)? dx = 2 x(x? +4)?

A: Given:

Q: Integration by parts

A: Given integral

Q: (a) Find an equation of the tangent line to the curve y = 14/(1 + e-X) at the point (0, 7). (b) Illu...

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Q: Suppose that f(5) = 1, f '(5) = 6, g(5) = -8, and g'(5) = 5. Find the following values. (a) (fg)'(5)...

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Q: Hi, can I please have this problem solved? Thank you!

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Q: Find the derivative of the function g(t) = ((2t - 1)2) / ((3t + 2)4 )

A: We will need quotient rule. So assume u and v:

Q: If  h(x) =    √6 + 5f(x) ,  where  f(2) = 6 and f '(2) = 5,  find h'(2). h'(2) =?

A: It is given that

Q: Find the exact length of the curve. x3 4x' У 1 < x < 2

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Q: How do you find the absolute extrema of a function when given the function and its interval?

A: Consider a function f(x) defined on interval [a,b] To find the absolute extrema of a given function,...

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y2 + 12, 4x = 3 ...

A: Since we only answer the one question, we’ll answer the first. Please resubmit the question and spec...

Q: can i get help step by step with this problem

A: Given function is

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: I need help with question #45 on page 251 of the James Stewart Calculus Eighth Edition textbook.

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A: Given that

Q: FInd the derivative of y=(5x-3)5(2-x4)5

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Q: Can i get help step by step with this problem?

A: Find f'(x) using power rule.

Q: Valu Evaluate the integral. proteir styling ge dx 2x2 + 3x + 1

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Q: Let if x 3 5 f(x) : and 8(4) = /fe f(t)dt Determine the value of each of the following: (a) g(-7) =...

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Q: Find an equation of the circle that satisfies the given conditions. Center (−1, −9);    radius 7

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Q: We find the "steepness," or slope, of a line passing through two points by dividing the difference i...

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Q: Determine the equation of the line tangent to the following function at x = 5. f(x) = (x − 4)(3 − x...

A: Slope of the tangent is the value of the derivative at the given point. So differentiating given fun...

Q: If F(x)= -3 f (t)dt and f(17) = 4; find F'(7) 2x=3

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Q: Use integration by parts to evaluate the integral.

A: Apply integration by parts,

Q: The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as t...

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Q: Suppose F(x) = g(f(x)) and f(2) = 3, f'(2) = -3, g(3) = 5, g'(3) = 4. Find F'(2).   We are currently...

A: We have to find F'(x) first using chain rule.

Q: See pencil for correction of problem

A: First we simplify the expression (x2-2x-8)/(x+2)=(x2-4x+2x-8)/(x+2)                         =(x-4)(x...

Q: Find all relative extrema of the function. f(x)=2x-24x1/3 Relative maximum (x,y)= (.         ) Relat...

A: Find first derivative using power rule  

Q: 32) If f(x) = -3x+ 2 and g(x) = 2x², find f(g(-1)).

A: Given values are f(x)= -3x+2                            g(x)= 2x2 we need to find f(g(-1)).  This ty...

Q: Sketch the region that corresponds to the given inequalities, say whether the region is bounded or u...

A: Here the given inequalities as,

Q: Solve the equation. 16 25 7) B) (2} D) {-2} 1/2

A: To determine the solution of the equation.

Q: Can i get help step by step with this problem?

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Q: Evaluate the integral. (Use C for the constant of integration.) | 2 tan*(x) sec (x) dx

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Q: Simplify the expression. cos (sin−1(9x)) = tan(cos−1((1-(x)/(64))1/2) =

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Зхе -2x dx Illustrate, an...

A: Given indefinite integral is,

Q: Solve the linear programming problem by the method of corners. Maximize P = 4x + 5y subject to x + y...

A: To determine the solution of LPP.

Q: solve the system of equations. y=8x-6 y=x-3

A:

Q: Find derivative of y= x(3x-1)5

A: Use the product rule to differentiate the given function with respect to x y'=(x')(3x-1)5+x((3x-1)5)...

Q: 2šr+e* dr

A:

Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 3 ...

A: Given: Plotting the bounded region, we get:

Q: b,c,d

A: (b) The given integral is

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: