Sum _8+16

Q: Please help me

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Q: Find the constant c so that the limit limx->3 (x2+x+c)/(x2-5x+6) exists.

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Q: Differentiate the given functions

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Q: Simplify

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Q: If 3f(x)dx 6, and 5f(x)dx 15 ,then 6f(x)dx: %3D %3D %3D (a) 10 (b) 20 (c) 30 (d) 0 (e) 40

A: We have to find the integral

Q: Find the slope of the function given at the point shown: f(x)=(1+cscx)/(1-cscx)at((\pi )/(6),-3)

A: Given, fx = 1+cscx1-cscx  We have to find the slope of the function at the point π6, -3    

Q: Consider the function f (x) = e* on the interval [0, In 2]. Find the "c" value guaranteed by the Mea...

A: the given function is: fx=e-x on the interval [0,ln(2)] we have to find the ''c'' value guaranteed b...

Q: Problem 5: Find the arc length of the graph of X 2 x =;(ey + e-Y) from y = -1 to y = 1.

A: the given function x=12(ey+e-y) We have to find the arc length of the graph x=12(ey+e-y) from y=-1 t...

Q: 1)Find all vertical and horizontal asymptote of the graph of each rational function F(x)=2x^2/x^2-1:...

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Q: 8. The area of the region outside the curve r = 3 - 3 cos 0 and insider = 6 is

A: We have to represent the required area first.

Q: Solve the following integral. • use mathematical manipulations to solve trigonometric integrals• app...

A: Given:            ∫cos 4x cos 3x dx Rewrite using the trigonometric identity cos A cos B=12cosA+B+co...

Q: Find an equation of the tangent line to the curve at the given point. y = Vx, (64, 8)

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Q: 3)Find the Laplace transforms of the given functions. h(t)=e^3t+cos(6t)−e^(3t)cos(6t)

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Q: At the end of 6 months, Mr. White pays Php 12,500.00 per month to the bank for 5 years for the car l...

A:                                       Given:  P(Principal amount per month)=$12500 R(Rate of interes...

Q: 2. Find the average value fave of f between a and b, and find a point c, where f (c) = fave a. f(x) ...

A: We have to find average function

Q: The cost (in dollars) of producing x units of a certain commodity is C(x) = 5000 + 15x + 0.15x2. (a)...

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Q: A factory produces bicycles at a rate of 110+0.4t^2−1.1t bicycles per week (t in weeks). How many bi...

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Q: Find an equation of the line L tangent to the graph of f(x) = 8x +1 at x = 1/2.

A: Calculate the y-coordinate of the point where the tangent has to be drawn. Substitute 12 for x in th...

Q: Find the time required for an investment of $12,000 to grow to $26,000 at an annual interest rate of...

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Q: Use the graph of the function ?=?(?)to find the given values, if possible. Estimate when necessary. ...

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

Q: Let f(1) %3D I+2 f(z) = 1.

A: given f(x)=1x+2

Q: 4. (5) Find the equation of the plane passing through the points. Simplify the equan (2,0,1), (1,-2,...

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Q: The equation p = 2 cos 0 sin o in spherical coordinate defines a sphere of center P and radius R, wi...

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Q: The region whose boundaries ore y=x°, x=2 and y=0 is rota ted about the y-oxis.choOse the altermativ...

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Q: (2) In the following triangle below, the degree measures of the three interior angles and two of the...

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Q: Find dy/dx by implicit differentiation of x'y + xy? = 3x then find the equation of the tangent line ...

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Q: Please help

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Q: I don’t under this

A: Given In a book fair each book costs $8 each pen cost $2 Let  x be book and y be pen

Q: The town of East Podunk is shaped like a triangle with an east-west base of 25 miles and a north-sou...

A: Given Data: The length of the east-west base of town triangle is: x=25 miles The length of the north...

Q: What is the indefinite integral of x*5th root of 4x-3

A: Given: ∫4x-31/5dx

Q: Date If y- L then Show Hhat axtb (-1)" ny a" %3D

A: As per our guidelines I am solving only first question please resubmit other question.  A) y = 1ax+b...

Q: If the position of a particle at a time t is given by the equation x(t)=t^3-11t^2+24t , find the vel...

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Q: sin 6x cos 3x dx

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Q: dy 1. For y = xe*, find the derivative dx

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Q: Find the surface area of the volume generated when the curve y = x revolves around the x-axis from (...

A: As we know that when the function is in the form of y=f(x) and you are rotating around the x-axis on...

Q: Suppose g″(x)=7x^3+8x^2+9x+4.   Also suppose g′(1)=−10, and g(1)=−3. Find g′ and then find g. g′(x)...

A: We have to find g(x) 

Q: 2. The Mean Value Theorem (M.V.T.). First proved by Joseph-Louis Lagrange. 1.) Let f be a continuous...

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Q: 2. x³dx Your answer

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Q: Q) what is the coefficient of x^4 in (2x+1)^5

A: We have to find the coefficient of x4  for the binomial expression: 2x+15 We know the r th term of a...

Q: Find the time required for an investment of $12,000 to grow to $26,000 at an annual interest rate of...

A: Given that  P = $12,000  A =  $26,000 r =  5% n = Yearly, quarterly, monthly, daily, continuously   ...

Q: Find the equation of the line tangent to the function at the given point. Your answer should be in s...

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Q: 5) Integrate the vector field h a,y)= y2i+ (2xy-e*)J C parumetrizal by t€ £0, 5 3. over the circular...

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Q: For each of the following question is it an ODE or PDE? Is it linear or non linear? What is their or...

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Q: Solve the exponential equation. Write the exact answer with natural logarithms and then approximate ...

A: The given equation is, 63+4x=1

Q: Find the average rate of change of the function f(x), given below, from x=3 to x=t. f(x)=−5x2+3x−1

A: The given function f(x)=-5x2+3x-1 we have to  find the average rate of change of the given function ...

Q: Let f (t) = In ( 1 - 10e ). Determine the form of the interval(s) on which f is continuous. Then ent...

A: Given, ft=ln1-10et

Q: Set up (but do not evaluate) an integral to find the surface area of the solid generated by rotating...

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Q: a plastic right circular cylinder with closed ends is to hold V cubic feet. if there is no waste in ...

A: a plastic right circular cylinder with closed ends is to hold V cubic feet. if there is no waste in ...

Q: Express.  y=√(3x²-9)  as a composition of u(x)=√x , v(x)= (x)² , j(x)=3x-9

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Q: Please Assist   thank you

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.