For Nos. 9-10: Suppose f is a function such that f0(5) is undefined. Which of the following statements is always true? 9. a. f must be continuous at x 5. 10. f is definitely not continuous at x = 5 ,

Q: - particle's position for t > 0 is given by s (t) = 2t³ + 2t² – 5t +2. What s the acceleration at t ...

A: Given query is to find the acceleration ate t= 1.

Q: y' – 5y = x²e* – xe5x |

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Find the derivative of the function y = 8t- y (t) = eTextbook and Media Save for Later

A: Given problem:-

Q: 4x³y – 15x² – y )dx +(x* +3y² – x)dy=0

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Q: Find the exact arc length of the curve x = y4/8 + 1/4y2 ,   1 ≤ y ≤ 3

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Q: 9. Two chicken coops are to be built adjacent to one another using 120ft. of fencing (sce the pictur...

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Q: 5. (4x'y — 15х2 — у)dx +(x* +3у?- х)dy-0

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: A 25-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away fro...

A: topic - application of derivatives

Q: Se sin 3x dx Using integration by parts, if u = sin 3x and dv = e*dx , %3D what should be du and v? ...

A: We know that, The expression for the integration by parts: ∫udv=u·v-∫vdu   Given: I=∫exsin3xdx

Q: 3+ -5 -4/-3 -2 -1 1 2 34 5 -1 -2 -3+

A: The shape of the curve that represents a polynomial with even degree has is one sided. I.e the both ...

Q: ex dx

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Q: 3- 2- 1- 1 3 14 -1- Graph of f The graph of the function f is shown above. Let g be the | by g (x) =...

A: Let's find. 

Q: 00 Let S = an be an infinite series such that SN =5 6. N2 : %3D n=1 10 16 (a) What are the values of...

A: Given, SN=5-6N2

Q: The base of a 10-ft ladder leaning against a wall begins to slide away from the wall. At the instant...

A: Given:          From the above figure     dxdt=6 ft/sec

Q: r(t) 3 A pump allows water to flow into a tank at the rate of r (t) = 3t liters per minute, where t ...

A: Rate of change, r(t) = d[c(t)]/dt  Where, c(t) is the amount of water at time t.

Q: 4 lim 5. lim + 61 6 lm

A: This question is based on Limits.

Q: Find the value of the integral d.x 3x(In(3x))² Determine whether the series 1 n=2 3n(ln(3n))2 is con...

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

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Q: rite the nrst erms of sec ice: {Vn² + 2n – n}-1 +oo Determine whether the sequence converges, and if...

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Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrang...

A: I am attaching image so that you understand each and every step.

Q: Solve the initial value problem: 2xydx + (2y² – 3x²)dy; y(0) = -1.

A: This question is based on solution of Homogeneous differential equation.

Q: A dice is thrown What is the probability of getting 1- Get number 1 2- Get the number 4 3- Get an ev...

A: A dice is thrown. We have to find the probability of getting: the number 1 the number 4 an even num...

Q: 3x2 + 4x + 1 -dx 3x3 + 6x2 + 3x + 50 9x2+12x+3 + C (3x3+6x²+3x+5) A x3+2x2+x - + C x4+2x3+x2+5x B) 3...

A: The given integral,     ∫3x2+4x+13x3+6x2+3x+5dx

Q: f'(t) = tf(t). HINT: Write f'(t) – tf(t) = 0 and multiply the equation by e-2/12.

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Q: 4. dy/dx = sec ²xsec³y

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Q: Graphing a Trigonometric Function In Exercises 41-52, analyze and sketch a graph of the function ove...

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Q: Find the total area of the shaded region. 1.5- (9.1) 0.5- 4.5 9. 13.5

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Q: – Verify the following formulas : a) cosh u dx 1 du vuʻ-1 dx 1 du b) tanhu= ul<1 dx 1-u'dx

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Q: Tr(x)dx = xf="(x) x(f=\Y{x)dx.

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Q: For f(x) = 3x2+ 8x + 3, find the equation of the tangent line at the following values of a. (a) x = ...

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Q: Find f(x) from Sat principles, given that flx) is! ら) c)

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Q: . y = In (x + V1 + x'):

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

Q: 7. (1+x*)dy + x(1+ 4y°)dx =0

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Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month i...

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Q: Evaluate / y ds, C: x = t, y = t, - 2 <t < 1

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A: Curve is given at point (0,1/2).We will find the equation of the tangent line to the curve.Below fin...

Q: Choose among the following suitable to define the given integrations: Sx sin x² dx By parts, the red...

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Q: Finding the Area of a Triangle Use the diagram of the triangle in Figure A to answer the questions. ...

A: Explanation of the answer is as follows

Q: Consider the equation below. 16x2 + y? + 16z2 - 8y – 160z + 400 = 0 Reduce the equation to one of th...

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Q: (2х — 5, х 20 lim h(x) : where h(x) = x→-4 x + 7, x < 0 Table 1: x -5 -4.5 -4.1 -4.01 -4. 001 approa...

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Q: y 7. 5+ y = g(x) 4- 3- 2- 1. X- 1 2 3 4 5 6 7 The figure above shows the graph of the differentiable...

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Q: Show that the function z = e* sin y satisfies Laplace's equation a²z a?z = 0 дх? ду?

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Q: Find the derivative of the given function. y = 3t4 - 4t2 y%3=

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Q: Use the graph shown below and identify points from A through I that satisfy the given conditions. y ...

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Q: 2) Find the exact value(s) of x where f(x) = 2x - 3x2 - 12 + 20 has horizontal tangent lines. %3D

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Q: dy 2х dx e2y

A: Follow the procedure given below.

Q: sec? x 2. csc2 x = sec2 x-1

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Q: A pump allows water to flow into a pool at the rate of r (t) = 2t liters per minute, where t is the ...

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Q: Consider the following. y = x3 - 3x2 + 8x + 1 Find the relative maxima, relative minima, and points ...

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