Find the speed: r(t) = (cosh(t), cosh(t), 4t) at t = 3. sqrr((2 sinh(2)2)+16) v(3) = =

Q: 4 If ƒ(10) = −6, ƒ'(10) = — and g(x) =ƒ˜¹(x), what is 5 the equation of the tangent line to g(x) at…

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Q: K Find the domain and range of the function. f(x)=√√7x+14 The domain is (Type your answer in…

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Q: Q1. Using double integral to determine the area of the region bounded by y = 2x² and y = 1 + x².

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Q: 2. Determine a power series for the function f(x)=8/2x-5 centered at c=-2

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Q: ONLY DO THE GRAPHS AND EMPHASIZE THE LIMITS 4. 5. 6. x² + 5x³+ 6x² lim 1-2 x²(x + 1) − 4(x + 1) lim…

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Q: If g(s) = 4√/s + O O 2 2 2 O4 O 4 1 7 S² 7 + + 82 + 7 82 7 s² 7 82 + + 7S 3 83/2 6 $3/2 3 $3/2 3…

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Q: Find for y = 6sin²(2x). Əy 3x

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Q: 1. x²-25 lim 1-0 ²-4x-5

A: Topic = Limits

Q: For f(x)=square root x and g(x) = x-2 find a. (f.g)(x) b. the domain of f.g

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Q: 3. 72 – 4 – 3 lim 1 32 – 4 + 1

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Q: The values of A and B which make the differential equation (1 exact are: A = B e³y + 5 ln(5y)) dz +…

A: Ae3yx+5ln5ydx+6xe3y+Bxy+2dy=0 A differential equation Mdx+Ndy=0 called exact if ∂M∂y=∂N∂x and its…

Q: Find parametric equations for the curve, and check your work by generating the curve with a graphing…

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Q: Consider the following. f(x) = 24-2x-x² (a) Find f(x). f'(x) = (b) Graph both f(x) and f(x) with a…

A: The given function is:fx=24-2x-x2.

Q: Find an equation for the line tangent to the curve y = 6√x + 4x at x = 1. O y = 14x -2 Oy=7x+3…

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Q: Use the figure below to estimate the indicated derivatives. If a derivative does not exist, enter…

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Q: By cutting away an x-by-x square from each corner of a rectangular piece of cardboard and folding up…

A: Since, it is given that by cutting away an x-by-x square from each cornerof a rectangular piece of…

Q: Calculate the derivative of the function. 6 √t (Express numbers in exact form. Use symbolic notation…

A: Topic- Derivative of a function We are given, h(t)=5t-6tand we know thatddxxn=nxn-1

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: If the nth derivative of y is denoted as y() and y = -sin x, then y(23) is the same as

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Q: Box your Final answer with a complete solution. Then Graph, emphasize the Limit. 4. 2x lim x-2x²-4

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Q: y = (ex-e-x) (ex+e-x)

A: To find the derivative

Q: An airplane flies at an altitude of y = 4 miles toward a point directly over an observer (see…

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Q: Use the table to evaluate the expression. f(g(2)) X f(x) g(x) 1 2 4 2 3 5 3 5 1 4 1 6 5 6 2 6 3 3

A: x 1 2 3 4 5 6 f(x) 2 3 5 1 6 3 g(x) 4 5 1 6 2 3

Q: Find da f 2log 2 In z O None of these O 20, 2 In 2 O2: In 2 O2 In 2 +C +C +C

A: Integration problem

Q: Q3/ Solve the following second-order differential equations: three) 1- y"-y-2y = e³x

A: Note:- These are multiple questions and accroding to company guideline we can do maximum 1 question…

Q: An isosceles triangle is inscribed in a semicircle, as shown in the diagram, and it continues to be…

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Q: 2. Solve the inequality. Give the solution in set and interval notation, then graph it. -7x + 16 +…

A: Need to solve the inequality and to give the solution in set and interval notation and then we need…

Q: Box your Final answer with a complete solution. Then Graph, emphasize the Limit. 3. x²+2x-8 lim 1-2…

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Q: Find the derivative of the function. z = 3t¹3/3-29/4-1/2 +3 z' =

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Q: du Q2/ Find for u = eab sin-¹ q for u = əx at (x, y, z) = (3) Hint: sin dx sin x ¹x=√ eab sin-¹q…

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Q: For f(x) = 4x and g(x) = x6, find the following. (a) (f + g)(x) (b) (c) (d) (f- g)(x) (f. g)(x)…

A: as per our guidelines we can answer only 3 subparts of the given question,so kindly repost the…

Q: If f(x) = 5x√√x+2 what is the value of (f-¹)(20)? Select one: 4 O a. O b. O c. | | 25 Check 25 O d.…

A: If fx=5xx+2, then to determine the value of f-1'20.

Q: 40. Mutual Funds In 2015, the Phoenix/Zweig Advisors Zweig Total Return fund (ZTR) was expected to…

A: we will find the  required.

Q: Interpret the limit statements without utilizing the word limit. 2x¹ +1 lim 8118 1-2³ = +∞

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Q: Q4. A. Evaluate: w = [2 + 2√31]50

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Q: If x¹ + x²y + 7y² = 14, find y' by implicit differentiation. 2

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Q: 62 b Answer: Write each of the following functions in a piecewise format and sketch its graph. For…

A: Dear student ,as per bartleby policy we are allow to solve one question at a time.kindly repost…

Q: Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.) dt…

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Q: lim 8118 77x7 - 18x6 + 48x x³ (13x6 +68)

A: limx→-∞77x7-18x6+48xx313x6+68 We have to find the limit.

Q: Transform the following equation of ellipse in standard for 7x²-10v² 56x +100y +278=0

A: 7x2-10y2-56x+100y+278=0 We have to convert into standard form. Lets first make a perfect square in x…

Q: Evaluate if the limits exist of the following (show your table of values): A. lim Inx x-0 x3 1 x1…

A: See this solution in below.

Q: 5. y = C₁еx + c₂xe* + c3e-x + 2x² ex; d³y d²y dy dx dx³ dx² +y-8ex=0

A: We can solve this as follows:

Q: The amplitude of a sound source that modulates in time is given by r² √y x-t A(x, y, t)= where r and…

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Q: PERIMETER A rectangle has an area of 16m^2. Find a function that models its perimeter P in terms of…

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Q: 11 8 xr xeza S. XE 16.

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Q: Question Determine the intervals over which the function shown below is continuous. Enter your…

A: To determine the intervals over which the function shown below is continuous.

Q: Is the relation defined by the table functions of x? X y 1 -4 -4 5 2 3 LO 8 9 5 13

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Q: The graph of f(x) is shown below. Which of the following statements are true? 8 7 60 5 4 3 2 1 M -8…

A: Ax x=6, limx→6-f(x)=limx→6+f(x)=f(6)

Q: For what values of k will the system of equations have: refer to the data below and show complete…

A: A system of linear equations Ax=b has  (i) Unique solution if Rank of augmented matrix [A:b]=Rank of…

Q: Radium decomposes at a rate proportional to the quantity of radium present. Suppose that it is found…

A: We need to find the half-life of radium.