If y= b", then JExample 2.24: Applying Derivative For 3* Find the derivative of h(x)%3D 3 +2 Solution: Use the quotient rule and Derivatives of

Q: 4+6 n i) The sequence { )is bounded by 6 n <ns ii) The 20 th. element of this sequence is

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Q: tan 7x i) lim x+0 sin 3x sin(x2 + 3x + 2) j) lim x+2 x + 2

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Q: 2r – 3, Use the limit definition of derivative to show that f(x) = I 2 I = 2.

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Q: 6.) r(t) = (cos t, sin t, In cos t), (1, 0, 0)

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Q: y" – y" – 6y = 0 = () A) Verify that yı = 5, y2 = e-2x and y3 = e* are solutions of the DE. %3D B)…

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Q: Determine the simple interest. (The rate is an annual rate unless otherwise stated. Assume 360 days…

A: P= $ 675 r= 7.75%= 0.0775 t= 30 days Since the rate of interest is given per year. Therefore, Time…

Q: I. Evaluate the following. 3450°-j12 a. 14 + j2 – -j15 (3450°-j12) b. j2 x 32-25° -j15 5-j2…

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Q: 1. How to determine whether the function is continuous or not at a certain point?

A: As per our guideline we are supposed to be answer only one question please repost the other question…

Q: ! Consider the nonhomogeneous DE: y" + y' – 6y = (12 – 16x)e*. - A) Verify that y, = 4xe* is a…

A: The given differential equation is y''+y'-6y =12-16xex. At first we have to verify yp=4xex is a…

Q: Complete the table. y = f(g(x)) U = g(x) y = f(u) 1. x +6

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Q: Solution: Step 1: The function f(x) needs to be verified continuous at the open interval (-1,1) by…

A: Let's find.

Q: 12. r(t) at cos 3ti + b sin³tj + c cos't k =

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Q: utolial Exeicise Use the Quotient Rule to find the derivative of the function. cos(t) (t) = %3! Step…

A: Use quotient rule for finding the derivative .

Q: Test the series below for convergence using the Root Test. 2n + 6 4n + 2 n=1 The limit of the root…

A: Root Test : Consider the positive term series ∑ an . Define ,             L = limn→∞ an1n  , then(i)…

Q: Differentiate. Use the correct notation to label your answer.gniho008 20 PaRo ai brs abuos Jool ai…

A: Given problem:- f(x) = log5(xex)  To find:- Derivative of f(x)

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Q: Given the differential equation y' = 8y2 and y (0) = - 1 and its next few implicit derivatives y" =…

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Q: Consider the following function. h(x) = 5 − 2x Find its average rate of change over the interval…

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Q: 1. Use Green's Theorem to find the counterclockwise circulation and outward flux for the given filed…

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Q: Verify that f has an inverse function. Then use the function f and the given real number a to find…

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Q: Find. the Powier Series. and frad their Intervals and. sadif of. convergengeo If F(x)= g(x)= then…

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Q: Determine whether the function f is continuous at x = c. If f is discontinuous at x = c, determine…

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Q: 6. Which of the following is the reason for a function differentiable at x=-5 if the function is…

A: Since this is a multiple question according to the Bartleby answering rule, only first question is…

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Q: 4. A sawtooth wave is a kind of waveform that ramps upward and then drops off sharply. They are…

A: According to graph we see that  simpson's 1/3 rule is best method for accurate result .

Q: Consider the following. Function Point f(x) = arcsec 5x 4 (a) Find an equation of the tangent line…

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Q: Find the gradient of the function at the given point. g(x, y) = 18xe/x, (18, 0) vg(18, 0) =

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Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an = (-1)" (- %3D

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Q: Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 300(6 + 5   x)…

A: We have to find the marginal cost

Q: By about how much will f(x.y.z) = In /x +y +z change if the point P(x.y.z) moves from Po(6,1,3) a…

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Q: Determine the equation of the tangent to fr) = x + x at the point (1, 2). %3D O a) y = 3x - 1 %3D b)…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

A: Given,            fx,y=cosx+y , P0,π , Qπ2,0To find : Find the directional derivative of the…

Q: 9. Which phrase best describes a function which has the following table when it's graphed. |-2 -1 -1…

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Q: Write the equation of the hyperbola in standard form. (-1,7) (-1.5)

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Q: 2.33 Let p(r) = x4 + x³ -- 2x2 + x + 1. Prove that the polynomial equation p(x) = 0 has a root in…

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Q: First four terms of the sequence n²+3n 1+9 n are: None of them 2 10 9 28 5 19 14 37 2 10 41 28 5 19…

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Q: Which one is the arc-length of the curve y =2V12x + 14, x E [12, 14]? 14 126x+219 dx 12 6x+7 14 18x2…

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Q: Which expression represents the slope of the tangent line to the graph of f at x = a? O…

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Q: Water flows into an empty reservoir at a rate of 2200 + 15t gal/hour . What is the quantity of water…

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Q: Evaluate A Se-* dx by Simpson's 1/3 rule with n=10, work for six digit

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Q: Given the piece-wise function x² – 2x + 5, Зx2 - 2х - 5 f(x): 0 2 Determine whether f is continuous…

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Q: 2t 3t – 1 Verify the product law for differentiation, (AB)' = A'B + AB' where A(t) = 13 1 and 1-t…

A: To verify the product law for differentiation, AB'=A'B+AB' where, At=2t3t-1t31t and Bt=1-t1+t2t25t3.

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Q: Let P denote the plane in R3 containing the points (1, 2, 0), (3, 4, 1), and (−1, −2, 1). (a)  Find…

A: Given that P denote the plane in R3 containing the points (1,2,0) , (3,4,1) and (-1,-2,1) .

Q: A company invests $19,000 to produce a product that will sell for $56.85. Each unit costs $9.20 to…

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Q: Test the series below for convergence using the Root Test. 5 (5n + 4 2n + 1 n=1 The limit of the…

A: This is a problem related to series and sum calculation. Based on the general formula we will answer…

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

A: =limn→∞ ann=limn→∞ 3n2n+13n1n=limn→∞ 3n2n+13=limn→∞ 32+1n3=limn→∞ 32+03limn→∞ |an|n=278

Q: — т3 + 3х2 — 2х — 1. + 3x2 %3D

A: answer is in next step