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Q: What is the slope of the secant line that passes through the points(a, f(a)) and (b, f(b)) on the gr...

A: Given: The secant line passes through the points a,fa  and  b,fb. Concept used: The slope of a line ...

Q: Given the functions, f(x)=x2+x, g(x)=5x-4 and h(x)=3, find h(f(5))

A: Given the functions, f(x)=x2+x, g(x)=5x-4 and h(x)=3, find h(f(5))

Q: Graph the derivative of the function graphed on the right.

A:

Q: Use the rules for derivatives to find the derivative of each function defined as follows. y = 3x2 + ...

A: Given: y=3x2+2x+x-1+x-2 We know that ddxxn=nxn-1                                               ..1dd...

Q: Find the limits.

A:

Q: Pictured to the right is the graph of the derivative, f'(x), of a Graph off (x) function. What is th...

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Q: ) Use interval notation to describe the set of real numbers {x \x² + x – 2 2 0}.

A: Given: x|x2+x-2≥0. Here, x2+x-2≥0x+2x-1≥0x+2≥0 and x-1≥0   or x+2≤0 and x-1≤0 When x+2≥0 and x-1≥0...

Q: find the domain of   f(x)= -9x+1   (Type your answer in interval​ notation.)

A: Givenf(x)=-9x+1

Q: There are 20 fruits in a bowl. And 6 of them are apples. What percentage of the bowl are apples?

A: the formula to find the percentage is  percentage(%)=partwhole×100 

Q: (inx)5 S- xV 12 + 14(Inx, dx

A: Given integration is : I=∫lnx5x12+14lnx2dx Let u=lnx    du=1xdx Now , I=∫u512+14u2du 

Q: finition, (f o g)(x) f(g(x)) ♥ So if g(6) = 9 and f(9) 16, then (f o g)(6) =

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Q: What percent of 50 is 10?

A: We have to find percent of 50 is 10. Assuming x% of 50 is 10. Therefore we can write it as: x% of 50...

Q: Use the Rules of de L'Hopital (whenever appropriate) to evaluate the following limits: limx>0  x-...

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Q: For the demand function d(x) and supply function s(x), complete the following. d(x) = 300 − 0.8x,  s...

A: The demand function is dx=300-0.8x The supply function is, sx=0.4x.

Q: For the given expression, find the quotient and the remainder. Check your work by verifying that (Qu...

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Q: Simplify ^y2 - 10y + 25

A: Given expression is :                                             y2-10y+25     We can factorize thi...

Q: Consider the rational function f(x)=8x+15/2x−13. part a=8x ,part b =2x   Using your results from...

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Q: For the following distribution, decide whether you expect the mean, median, or mode to give the best...

A: The mean represents the average weight of an orange. The median will represent the middle most weigh...

Q: Find dy for the following functions. y=6x2

A:   We have the given function as   y=6x2 We have to differentiate it

Q: 4.1 Find the general solution of second order differential equation y" + 4y = x²sin (2x)

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Q: Please solve the check point problem and also elaborate it without skipping any steps. The example i...

A: Given: The expression, sin2x+2sinx-1=0.

Q: Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest com...

A: The given polynomial is 15y2+y-2

Q: Use the table of values to evaluate the expressions below.

A: We have to evaluate the following expression.

Q: Find each function value tan 115°

A: we have to find the value of tan 115°

Q: Help me

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Q: Matching equations to graphs: Use a graphing tool such as a graphing calculator or desmos.com to gra...

A: Given equation is : y=3x-6 Graph of equation is ,  

Q: A derivative formula a. Use the definition of the derivative to determine d /dx (ax 2 + bx + c), whe...

A: We know that, by the definition of derivative Let us take the general polynomial term case, fx=kxn....

Q: Equations of tangent lines by definition (2)a. Use definition (2) (p. 130) to find the slope of the ...

A: (15) Consider the provided function, fx=2x+1; P0,1 Use definition to find the slope of the line tang...

Q: Find the slope for each line that has a slope Through 4x + 3y = 6

A: Here the given equation of the straight line  4x+3y=6 Write in the standard form of the line as 3y=-...

Q: Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest com...

A: The given polynomial is x2+4x-5. Factor the above polynomial as follows.  

Q: Find the distance from the point (1, 1, 1) to the plane x + 2y + 3z  = -4

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Q: Consider the rational function f(x)=8x/x−5. a)As x→−∞, f(x)→ b)As x→∞, f(x)→

A: We have to find limit

Q: At 10 a.m. the temperature at a ski resort begins to increase causing the snow to begin to melt at a...

A: Given : initial amount of snow was 178 Cubic yards at 10 a.m. It melts upto 5 p.m  To find the remai...

Q: Finding infinite limits Analyze the following limits

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

Q: For the function f(x) = 4x + 4, evaluate and simplify the difference quotient.

A: Given data: The given function is f(x)=4x+4. The expression for the difference quotient is, f'(x)=f(...

Q: Graph

A: To Determine: graph of the function Given: we have a function which is rational fx=3x2x2+5 Explanati...

Q: Part A only

A: Given, f be a function defined for x>0 and the derivative of f is f'x=x2lnx Point e, 2

Q: A tumor is approximately sphericalin shape. If the radius of the tumor changes from 14 mm to16 mm, f...

A: A tumor is approximately spherical in shape. If the radius of the tumor changes from 14 mm to 16 mm,...

Q: "Determine whether each of the following statements is true or false, and explain why If ƒ′(c) = 0, ...

A: Consider the function fx=x-12 on 0, 2. Note that at x=1, f'1=0. But , it is not a constant function ...

Q: Let fbe a function with a second derivative given by f"(x) = x(x-3)(x-6). What are the x- coordinate...

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Q: You have a wire that is 56 cm long. You wish to cut it into two pieces. One piece will be bent into ...

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Q: A variable force f(x) = sin Tx (in Newtons) moves a particle along a straight line from the origin t...

A: The given force function is  f(x) = sinπx    Newtons Partical moves from x = 0, to x = 2 m

Q: (1) The function f(x) is such that f(x)= 4x' +21x² +36x- 20 Ca) Find f '(x) & f"(x)

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest com...

A: Given: The polynomial 3y3+24y2+9y To determine: The factorization of the polynomial.

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment (picture) a...

A: The given line  y = (7/5)x This is revolved about x axis  0≤x≤7

Q: Evaluate each logarithm without using a calculator log9 81

A: We have to evaluate  log981.

Q: Determine whether each statement is true or false, and explain why The function (x) = 3x2 - 75x + 2 ...

A: Quadratic Function: A quadratic equation is one of the standard form ax2 + bx + c = 0, where a, b, a...

Q: 4. Given that g(x) = x^4 + x^3 − 3x^2 + 2, answer the following. (a)  g"(x) =  .............. (b) Th...

A: We have,  gx=x4+x3-3x2+2              ⋯⋯1 (a) By definition of derivative, ddxkxn=knxn-1 On differen...

Q: (x + 1)(x + 2)(x + 3)

A: Given: x+1x+2x+3

Q: This is a two part question i have attached both of them hoping that both can be answered. Please pl...

A: The given equations    ,  f(x)=-3-3x2 we have to find the tangent at (-3,-30) another , f(x)=2x3 at ...