lim ("V52"-1 52n-1

Q: y = 4x2 + 16x + 9

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: lim[r(t) X u(t)] = lim r(t) X lim u(t)

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Q: 88. Let f be a twice-differentiable function such that f"(x) < 0 for all x. The graph of y = S(x) is...

A: The graph of y=T(x) is the line tangent to the graph of f at x=4

Q: suppose a baby food company has determined that its total revenue R for its food is given by R= -x^...

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Q: 5. Use the pascal's method or term formula to write and expression for each term (a a. ts3 b. t15,12...

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Q: (1.5,2) 1.5 (0,7, 0. 2) f0.7,02) O5 ー15 -05 O.5 0.5 1.5 1 -0.57 (ーム2,-) -15: -2 Where does f have lo...

A: From the given graph we can see that- f has local minimum at x = 0 and x = 1

Q: he demand, D, for a new rollerball pen is given by D = 0.006p° - 0.4p + 180p, wherep is the price in...

A: Since you have asked multiple question, we will solve the first 3 part of the question for you as pe...

Q: Estimating an Angle In Exercises 7-10, estimate the angle to the nearest one-half radian. 7. 8. 9. 1...

A: Find your answer below 

Q: 3 7 htx) 7 22 h'(x) 5 10 90. Selected values of the increasing function h and its derivative h' are ...

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Q: 7hen a drug is intravenously administered to a patient on a continuous basis, the amount A (in milli...

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Q: dy 9. Find for y=xVx+ 1

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Q: Use the First Derivative Test to find relative (local) maximum points, if any, of the given function...

A: a) y=x3-xDifferentiatey'=3x2-1For local max or miny'=03x2-1=0x2=13x=±13x=-13,13Substitute x=-13 in y...

Q: Let the region R be the area enclosed by the function f(x) = x³, the horizontal line y = –1 and the ...

A: NOTE: Refresh your page if you can't see any equations. . here we have the region is bounded by the ...

Q: 1. x³ + y³ – 3axy = 0 2. x2 - 2xy + y? – 6x + 2y = 0 3. (x+y)2 2ay 4. x + yi = 9| 5. (x² – y?) = 4ay...

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Q: Write a polynomial f(x) that satisfies the given conditions. Degree 3 polynomial with integer coeffi...

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

A: Area of triangle =( base *height )/2 Area of semicircle = (π(r^2))/2

Q: g8) = 6x34 54x2+90X Is the graph of g) gx) at X= -12 the graph of ga)is concave up orconcaue down at...

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x=...

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Q: Solve log3 (2 – æ) = 3. |

A: Solution: log3(2-x)=3

Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is Lo (the Left-Hand ...

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Q: Write an equation for the function graphed below 5+ 7 -6 5 -2 6.7 -2

A:   From the given figure, the vertical asymptotes are x=-3 and x=5, the horizontal asymptote is y=2 a...

Q: Solve the given third-order differential equation by variation of parameters. y'' + y' = cot(x) y(x)

A: First we write complementary solution then find particular solutions then find general solution. 

Q: Find the critical numbers of the function. f(x) = 5x In x %3D X =

A: The given function,  fx=5x ln x

Q: Find the average rate of change of y with respect to x on the interval [1,4] where y=x^2+x+1

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Q: Let {an}=1 be a convergent sequence such that a1 = V5 and an+1 V5 an. Compute lim an.

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Q: f(x) h(x) f(x) = 3(x + 4)2 + 1 + -5 -4 -3 -2 -1 3 4 5 -3 -4 |-5 †

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Q: ritical value at A = r) is Select an answer v Select an answer

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Q: A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the t...

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Q: Consider the function f(r) - on the interval 2, 6. Find the average or mean slope of the function on...

A: f(x)=1xInterval [2, 6]f(2)=12f(6)=16The mean slope=f(6)-f(2)6-2Mean slope = 16-124Mean slope = -44(1...

Q: Use a graphing calculator to estimate the absolute maximum and absolute minimum values of the functi...

A: Explained below 

Q: 7. The population of a certain city in Northern Ontario can be modeled by P(t) = in years from 2010....

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Q: 0. Reciprocal Substitution (x´ - x')"3

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Q: Given that fCx) = x"hc) h'(1)=6 Calculate f'(-1) =

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Q: Calculate the integral of f(x, y, z) = e over the tetrahedron W in the figure (the region in the fir...

A: To solve the given triple integral. 

Q: Sx² + 1, x > 1 Зх — 1, х < 1 f(x) = Calculate the purpose of the following functions

A: topic -  limit and continuity 

Q: III. MAXIMA/MINIMA: Locate the critical by the tests. 1. y = x³ – 3x² + 4x + 5

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

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x° +0.07x + 14x + 60...

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Q: Evaluate the integral: el/z dx -1

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Q: 1 1 4. x2 + yi = 9| %3D

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

Q: NO TE: When using interval notation in WeBWork, remember that: You use 'INF' for oo and '-INF' for -...

A: To find out the intervals of concave up and down. 

Q: Evaluate the Riemann sum for f(x) = 2x - 1, -6 s xs 4, with five subintervals, taking the sample poi...

A: right reimann sum

Q: Find the inflection points, if any, f(x)=x4 −2x3 +6

A: Find the inflection points, if any, f(x)=x4 −2x3 +6

Q: Kyra is building a dollhouse. The carpet for the bedroom is 27 square inches. The length of the bedr...

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Q: An arch in the shape of a parabola has the dimensions shown in the figure. How wide is the arch 7 ft...

A: An arch in the shape of a parabola has the wide 18ft and height 9ft.

Q: using seperation of variable method, solve dy/dx=x3y2

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Q: (x+2y-1)dx+(2x+4y-3)dy=0 differential equations

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Q: After five days, a 5-gram sample of a radioactive substance decreases to 3.242 grams. The amount rem...

A: Please see the below picture for detailed solution. 

Q: Given z1 = 2 - i sqrt 5 and z2 = 2 + i sqrt 5 find z1/z2

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Q: A sample of radioactive material starts with 0 grams . After 3 half -lives have passed , how much ra...

A: Let's find.