Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 21/2 square units B 24 square units 63/2 square units D 56/3 square units

Q: Consider the function g(x) - (x- 2)-3. Sketch the graph of f(x) - x and the graph of the function g....

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Q: Let g(x,y) = x³ – 6x² – y* + 5. Find and classify the critical point(s) of g.

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Q: 2. (а) Find the function P(x) = a +b cos(n x) +c sin(nx), which interpolates the data 0.5 1 y 4 (b) ...

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Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 In (n ...

A: We have to find if the given series converges or diverges.

Q: se the Leading Coefficient Test to describe the right-hand and left-hand behavior of the graph of th...

A: Given query is to find the end behaviour if the graph.

Q: Given cost and price (demand) functions C(q) = 100g + 42,000 and p(g) = - 2.1g + 870, what is the ma...

A: Given

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A: Given query is to find the integral and value of constants.

Q: If u = e3x. du = 2 cos 2x dx then du = 3e* dx, v = sin 2x. Select one: True O False

A: Differentiate the equation u=e3x with respect to x.                                                 ...

Q: Determine the value of the given integral given the equation presented below. Answers should be expr...

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Q: Suppose f(x) and f'(x) have the values shov 33 34 35 36 37 f(x) f'(x) 9 17 5 4 15 3 -4 -3 -5 -2 1 Le...

A: We will find the value of the function. 

Q: i- graph and Rined Demain and Range for yz sin'x- 3 ーhn Hi-z+ 3x3-5 2. - graph apel find Df f Rf for...

A: 1. y=sin2x-32. limx→∞4x3-2x2+13x3-53. y=-5sin2x Note:      Multiple questions are given, we are answ...

Q: 1.n f csc n? de y2 - 2y + 3 2.5; Vy - 3y: + 9y – 21 dy

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Q: 1 1 9. dx I (# – 1)(x² + 4x + 5) In |x – 1|+ 10 In a? + 4x + 5| - 20 13 arctan(x + 2) +c 10

A: First we use partial fraction decomposition and then evaluate the integral.

Q: ind the second derivative(y”) of the following functions and simplify the final results.

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to t

Q: Te relationship beween a profesSIonal basketball players helgh H (IN Ihches) anta welght w (In pound...

A: Given query is to find the weight for the given modal.

Q: et What is the integrable form of dr? et- e

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Q: What is an improper fraction and a mixed number?

A: What is an improper fraction and a mixed number?

Q: 6) pind ful indefinite integrel. 4 sec (2x) de

A: ∫sec4(8x)dx ∫ sec2(8x)(1+tan2(8x) )dx ∫sec2(8x) + sec2(8x)tan2(8x) dx now assume that tan8x = u du...

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: A house was valued at $105,000 in the year 1992. The value appreciated to $175,000 by the year 2006....

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Q: 2 V = 5500 find (1- 50 0<t< 50 the cate which water drains at tme (rate must be nesative).

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Q: Find an арprozimation of 1000 i=1

A: Find your answer below 

Q: Consider the following function. (a) Find the zeros algebraically. (Enter your answers as a comme-se...

A: For zeroes we put y=0 .

Q: dy Find dx y=4(sec x + tan x)( sec x- tan x).

A: Here, the given function is: y=4(sec x+tan x)(sec x-tan x)  =4(sec2x-tan2x)  =4(1)             (beca...

Q: 7.5- yy - 9 4+9) dy -6- 8.S 1 dx e2x+ e-2x

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Q: A covered box is to be made from a rectangular sheet of cardboard measuring 35 inches by 56 inches. ...

A: Solution: According to the question the diagram will be

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x = 2,...

A: We have to calculate volume of solid formed when the graph of the region bounded by  y=ex , x=0 ,x=2...

Q: Write an equation for the transformed logarithm shown below, that passes through (1,0) and (-3,3) 5t...

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Q: A firm produces 550 T.V. sets during its first year. The sum total of the imm's production at the en...

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Q: bacteria culture initially contains 2000 bacteria and doubles every half hour. Find the size of the ...

A: Given query is to find population of bacteria after indicated time  

Q: Let S be the sphere of radius 3, centered at the origin, oriented outward. [x³ + 2 sin(z)] y3 – 10xz...

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x 2, an...

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Q: I4)= te (t-1) Find the lapiare transform using the de finiton/ integration metnod.

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Q: A company produces computers. The demand equation for this computer is given by p(g) = - 5g + 6500. ...

A: The given data is: The demand equation for the computer is given by pq=-5q+6500, where p is the pric...

Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: The general antiderivative of ( 3x2 - 4) +C. What is the value of the sum a +b+d+m +n+p? can be writ...

A: Given query is to find the value of the integral.

Q: et cos(t) Ry = e' sin(t) for 0 <t < 5 Find the length of the curve (Hint: You can simplify the integ...

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Q: (2v² + 4u²v)du + (4uv + 3u³)dv = 0

A: The given differential equation is; (2v2+4u2v)du + (4uv+3u3)dv=0.

Q: 2sin x -1 y = cosx +2

A: Basic identities of trigonometry and differentiation are used

Q: Raggs, Ltd a clothing firm, determines that in order to sell x suits, the price per suit must be p= ...

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Q: Solve the differential equation by using integrating factors. xy' = 3y + x2

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Q: ng If C(t) = 50t e - 0.2t measures the concentration, in of a drug in a person's system t hours afte...

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Q: Previous question If C(t) = 79.5t e -0.13t ng of a drug in a person's system t hours after the drug ...

A: We will find the rate if change of drug administered. 

Q: 1 x² + 10x + 41

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Q: Match the quadratic function with its graph. (x) = x- 2)2 y 10 -5 10 10 5

A: Given query is to find the graph of the quadratic function.

Q: y' - y = 2x? 3

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...

Q: TC If f(x) =, then f tan x II

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Q: sin x 16 y = e* + cos x solves y' = cOs x + y

A: we have to verify the solution.

Q: Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solu...

A: We have to find the solution set for the following equations using guass Jordon method.

Q: 4. y = xcoSx

A: First we take log both sides and then differentiate both sides with respect to x.