Iy 3. cosysiny dy

Q: Evaluate the following limits: x² - lim x→1 x-1 a) х-2 b) lim x→2 2- 16–x 2х -1 c) lim x→* x² +3x+5

A: a) limx→1x2-1x-1b) limx→2x-22-6-xc) limx→∞2x-1x2+3x+5

Q: 7) Assume that the temperature of a person during an illness is given by: 5t T(t) : + 98.6, t2 +1

A:

Q: Find the laplace transform of the following: a.) f(t) = t3 - t2 + 5t + 2 b.) f(t) = cos25t c.)…

A: We know that L{tn} = n!sn+1        and          L{sin at} = as2+a2        and       L{cos at} =…

Q: find area between line y=-2+x and y=x^(1/2) and x-axis

A: This question can be solved using the concept of area under curves.

Q: Problem set 1 (Plane Figures) Solve the problems below using the following steps; i.) Sketch the…

A:

Q: Using the method of LaPlace Transform, solve the following IVPs a.) y" + 8y' + 25y = 13e-2t…

A: As per bartleby guidelines we only give first question answers because questions are lengthy.

Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

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Q: Solve for x: log(x) + log(x + 3) = 2

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Q: 5 and 6

A: 5. ∫127*ln(3x)xdxSubstitute u=7ln(3x)→dudx=7x→dx=x7du=17∫12uduWe know that…

Q: Question 3. Find f/ (x). If f(x) = tan-1x? %3D

A: we have to find out

Q: Find dy/dx by Implicit differentlation. x = 7 In(y- 24), (0, 5) Ap dx Find the slope of the graph at…

A: implicit derivative dydx of equation x=7lny2-24

Q: 6. Evaluate the following: (ey)dy dx 0. A. e-1 e-1 C. 2e +7 2. D. e?

A: Given: I=∫01∫0y3exydydx   As we know the basic integral formula; ∫eax+bdx=1aeax+b+C

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

A: The given function   y=x4+3x3-2x-2; x=-3

Q: x³ + x² - x - 1 lim X→1 X-1

A:

Q: Area under the curve y = 4 - x2  from x=-3 to x=3

A: Please see the answer bellow.

Q: incorrect The answer above is NOT correct. 1.8 F2 1,0 10 The slope of the tangent line of the…

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Q: Find dy/dx by implicit differentiation. 8x3 + 9y3 = 66 dy/dx =

A:

Q: A box with no top that is twice as long as it is wide has a volume of 36 m3. If x is the width of…

A: A box with no top that is twice as long as it is wide has a volume of 36 m3.

Q: lim, -r(csc Tx )(Inx)] -TC

A: The given limit,limx→1-πcscπxln x

Q: (21) Let y be a function of r. Find y'(x). Leave your answers unsimplified. (a) y =…

A: Differentiate wrt x

Q: 1. Determine whether the series En=1 2n4+1 is convergent and explain why.

A: We have to find the convergent As per guideline we have to solve one question Please repost other…

Q: Which of the following statements involving sigma notation is always true? η η η Α) E (ak bR) = E…

A:

Q: Determine whether the Mean Value Theorem can be applied tof on the closed interval [a, b]. (Select…

A: Given function  f(x) = x /(x - 25)          Let's check mean value theorem.

Q: Evaluate the given integrals. 1. ſ cos v2x dx 2. fx a*dx

A: Please see the answer below.

Q: Using the method of undetermined coefficients, what is the modified form for a particular solution y…

A:

Q: sec =zydy

A: Given

Q: A car starts from rest at time t 0 and accelerates with acceleration a(t) = –0.6t + 4-meters sec^2…

A: Here, a(t)=-0.6t+4⇒v(t)=∫a(t) dt⇒v(t)=∫-0.6t+4dt⇒v(t)=-0.3t2+4t is the velocity function.

Q: Consider the following function. f(x) = (11 - x)(x + 1)2 (a) Find the critical numbers of f. (Enter…

A: Here we have to find the realtive extremum.

Q: to complete Problems Use >, , <, or = 8. 3 -5 -3 01

A:

Q: In point P(-6,-8,8), express that vector that extends from P to Q(8, 6, -1) in: a. rectangular…

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Q: 2. A ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed towards…

A:

Q: A city had a population of 2,238 at the begining of 1965 and has been growing at 9.6% per year since…

A: TOPIC- EXPONENTIAL FUNCTION

Q: 1. Describe the transformations of the graph of y=vx to obtain the graphs of the following…

A: b.The given function y+4=-2x

Q: Find the area between the graphs of y = x and y = (x – 2)- | O 9/2 O 4 O -9/2 O 1

A: Given: y=x and y=x-22 Now find the point of intersection between the given curve and line. y=x ;…

Q: In x2 lim

A:

Q: Supply the missing integrand and the limits of integration dx dy _dy ху

A: The given integral:∫-11∫1eydxdyxy

Q: V1-x² dy dx |-V1-x²

A: Solution: ∫-11∫-1-x21-x2 1·dydx

Q: Solve 12 cos (t) + 2 cos(t) - 2 = 0 for all solutions 0 < t < 2n t = Give your answers accurate to 2…

A: See the answer below

Q: 40 Зп Given sin(e) , where n<0<. Which of the following is true? 2 41 A csc open parentheses theta…

A: Given sin(θ)=-4041We know thatcosec(θ)=1sinθcosec(θ)=1-4041cosec(θ)=-4140We know that…

Q: d (32) Find the derivative: dx rcos(r) V1- t?dt

A:

Q: 9. A boat floating in the sea rises and falls with the waves. A sailor on the boat will also rise…

A: Given, f(t)=12sin(pi×t/4) +8 where t is the time measured in seconds f(t) is the tailor's altitude…

Q: A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac-…

A: Position , s(t), velocity, v(t) and acceleration functions, a(t) for t≥0 are:  s(t)=t3-6t2+9t ,…

Q: 18. Convert 5 radians into degrees. First find the exact answer (no decimals or rounding, please).…

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Q: dx 6. J Vx2-4x+13

A: As per bartleby guidelines we only give first question answers.

Q: 1. Find the area bounded by the curves y?=2ax, y²=4ax-a? 2. By integration, show that the area of a…

A: As you have asked multiple questions so I have answered first question as per the guidelines

Q: 5. Find the radius of convergence and the interval of convergence for E- (x – 2)" n%3D1

A: To find the interval and radius of convergence.

Q: Which of the following angle measure is coterminal with an angle whose measure is 798°? -78° -278°…

A: Let the angle be theta.

Q: lim (1+)* X→00

A:

Q: 3. 2x°- 2x) dx x²+10 2 t1o

A:

Q: 3. General solution of x dy = (2xe* – y + 6x²) dx

A: The given differential equation,     x dy=2xex-y+6x2dx