Let f(x) = g(x). 5* h(x) + 7x Find f'(1) if we know that g(1) = π, g'(1) = -2, h(1) = = e, and h'(1) = √2.

Q: Using the definition, calculate the derivative of the function. Then find the values of the…

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Q: The region in the graph shown is to be revolved about the x-axis to generate a solid. Which of the…

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Q: 2. Draw a graph of a function that has a horizontal asymptote at y = 2 and two vertical asymptotes,…

A: To draw a graph of a function that has a horizontal asymptote at y=2 and the two vertical…

Q: Use the set-roster notation to indicate the elements in each of the following sets. Use ellipsis…

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Q: The region R in the first quadrant of the xy-plane is bounded by the curves y = -6 sin(x), x = π, x…

A: The given region is: y=-6sin x,       x=π,    x=2π  and  y=0

Q: Use the given information to find the indicated probability. A and B are mutually exclusive.  P(A) =…

A: GivenP(A)=0.8P(B)=0.1A and B are mutually exclusive   We are required to findP[(A∪B)']

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Q: K Use the given graph of the function to find the function information. (A) Intercepts (B) Vertex…

A: Given:

Q: 2. Draw a graph of a function that has a horizontal asymptote at y = 2 and two vertical asymptotes,…

A: INTRODUCTION An asymptote is a line that a function approaches but never reaches as it tends toward…

Q: 3. The function h(r) is shown below. Carefully note the numbering of the axes. On what interval is…

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Q: b) f(x) = cos(x)

A: To find the derivative using the chain rule. fx=cos2x

Q: Use differentials to estimate the amount of metal (in cm³) in a closed cylindrical can that is 22 cm…

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Q: For the function f(x,y,z)= In (4x + 7y + 10z), find fx. fy, and f₂.

A: Detailed solutions are given below.

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A: Given data: The soles rote on the day 't' of the sole is 70t ⇒dctdt=70t  At t=1 none of the…

Q: Find an equation for a circle with center at (5, 12) and a radius of 4. Make a sketch of the graph.

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Q: Given the matrix 680 A = a 9 7 51 -1 3 " find all values of a that make the |A| = 0. Enter the…

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Q: P(1, 0, 1), Q(-2, 1, 3), R(6, 2, 5) (a) Find a nonzero vector orthogonal to the plane through the…

A: Given;  P(1,0,1), Q(-2,1,3), R(6,2,5).

Q: Given f(x) = 8x² sin x + 13x-7, find f'(x). f'(x) =

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Q: TOPIC 1 Higher Derivatives Q. #1 Given f(x)=x² sin(√x), please find derivatives below. Hint: Always…

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Q: Evaluate 3-point (sinx²³+ Cosx²) doc using formula. Gaussian

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Q: Find the derivative of f(x) = √7 - 2x. To enter √a, type sqrt(a). ƒ'(x) = [ 80

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Q: 1. Find the volume of the solid generated by revolving the region bounded by the given lines and…

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Q: Find all points (x,y) on the graph of f(x) = 2x² - 5x with tangent lines parallel to the line…

A: Given: f(x)=2x2-5x with tangent line parallel to line y=7x+2

Q: (a) Find the slope, m, of the tangent to the curve y = 2√x at the point where x = a. m = (b) Find…

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Q: Solve the equation for exact solutions over the interval [0°, 360°). 4 cos ^2x − 1 = 0

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Q: Find an equation of the tangent plane at the given point: F(r, s) = 2r³-2/3, 1 80.5 (1,1) 2=

A: Given equation of surface is F(r,s)=2r31s0.5-21s3 and the point (1,1).

Q: Pls do fast within 5 minutes it's urgent and i will give like for sure Solution must be in typed…

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Q: (d) (e) (f) [ ₁² V. [ (sec²(x) — csc²(4x)) da. x² √x³+3 dx ** π/4 sin(4x) dx.

A: Detailed solutions is given below.

Q: r(1)=2 13. y'=xy³(1+x²)-1/2, y(0) = 1

A: given  y'=xy3(1+x2)-12  dydx=xy3(1+x2)-12dyy3=x(1+x2)-12dx

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Q: How much work is done (in J) when a weight lifter lifts 170 kg from 1.5 m to 2.0 m above the ground?…

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Q: A mass is attached to a spring with spring constant of K=10. The spring is stretched to 30cm passed…

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Q: Consider the following equation of a line. 4x + 2 = 0 (a) Find the slope and y-intercept (if…

A: Consider the following equation of a line. 4x+2=0 (a) To find the slope and y-intercept (if…

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Q: Learning Target Ll: I can find the limit of a function at a point using numerical, graphical, and…

A: Given function:- fx=x2+5x-14x-2

Q: Explain why the function is differentiable at the given point. f(x, y) = 7+ x In(xy-7), (4,2) The…

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Q: 7. Find the point (a, b) on the graph of y = x³ - 3x² +4 where the tangent line is x - 3y = 1.…

A: given y=x3-3x2+4tangent line perpendicula to x-3y=1if two lines are perpendicular than there slopes…

Q: Find T, N, and k for the space curve r(t) = (7e'cos t)i + (7e'sin t)j + 4k.

A: Given data:  r(t)=(7et cost) i +(7et sin t) j+4k

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: here we have to find the limits.

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Q: The temperature adjusted for wind chill is a temperature that tells you how cold it feels, as a…

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Q: the equation. 29. y' - 2y = 1²e²t

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Q: Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler…

A: Given: y=7x2+19x+2+3x

Q: K For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: Find all the second-order partial derivatives of the following function. 74 f(x,y)=x²y²-x+y° 6 8

A: according to bartleby policy we do only first part of multiple questions there for please re post…

Q: Find the derivative of f (t) = (6t³ – 2t². fl (t) = +1) 45. 囡囡

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Q: 7. The strip below shows a bike path that is of a kilometer long. By reasoning with our definition…

A: The strip below shows a bike path that is 43 of a kilometer long. By reasoning with  the definition…

Q: how to expand (1-y)^1/2 in powers of y. please solve it in details, I don't just need the final…

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Q: Jo 2x t² sin 2t dt

A: Given query is to find indicated integral.

Q: a) Use the Product Rule to find the derivative of the given function. b) Find the derivative by…

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