Use implicit differentiation to determine an expression for dy dx if y√x+1 =

Q: Find the derivative of the following function using the Fundamental Theorem of Calculus. F'(x) =…

A: To find the derivative of the following function by using the Fundamental Theorem of Calculus.

Q: Find the volume of the solid obtained by rotating the region bounded by y = 7x², x = 1, x = 4, and y…

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Q: vertice (0,e) and (6,2) asymptotes y = ax and y=4-22 The Standard form of Hyperbola is; with…

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Q: Find the x-values (if any) at which f is not continuous. State whether the discontinuities are…

A: To find the -values (if any)  at which f is not continuous. To state whether the discontinuities are…

Q: 21. A dropped stone on Earth The height (in feet) of a stone dropped from a bridge 64 feet above a…

A: Given that the height of the stone above a river water is .The aim is to find the velocity and speed…

Q: Use the graphs of f(x) and g(x) to answer the questions below. Note - the graph of f(x) has a corner…

A: Given: Let To Find: To find the following:

Q: Differentiate the function. y=3x^4/(6-5x)^2, dy/dx

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Q: 5) For the following linear equation in two variables: 4 – 2(y - x) = 5x a) Rewrite the equation in…

A: Given:To Find: (a) To re-write the equation in slope-intercept from .(b) To state the slope of the…

Q: For the equation given below, evaluate / at the point (-2, 1) (52-y)¹ + 2y³ = 14643.

A: given equation

Q: Determine the following limit. Use exact values. lim (1 + sin 6x) = 3x +0+*

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Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A: The given differential equation .The aim is to find the solution to the differential equation that…

Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

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Q: 4) Solve the following linear equation for the indicated variable. Clearly show all your steps. What…

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Q: Describe the left-hand and right-hand behavior of the graph of the polynomial function. (Select all…

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Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: Given,The rate of increase of altitude of a triangle, The rate od increase of area of a triangle,

Q: Use any method to evaluate the integral. 6 dx S (9x² + 1)² 6 dx (9x² +1) 2

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Q: Find the volume of the Solid generated by revolving the region bounded by the lines and curves given…

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Q: Differentiate. h(w) (w³ + 4wª) (w 4 - w-6) = -4. −6) (5w4 + 16m³) + (w³ + 4w4 ) ( −4w−4 – 6w¯ - W…

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Q: dy' dx (6.) (i + cos x ) = X = 0 y = 1 sinx (sinx tsinxcosx -y) Answer: C=1/12/2

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Q: Differentiate the function. G(x)=√x6 + 6x

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Q: 29-32. Average and marginal cost Consider the following cost functions. a. Find the average cost and…

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Q: If we apply Rolle's Theorem to the function f(x) = 2x² - 16x -9 on the interval [2, 6], how many…

A: We will use the concept of Roll's theorem and using this we will solve it.

Q: Write the expression as a sum and/or difference of logarithms. Express powers as factors. In…

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Q: · 2 * 2 of -2 2 $ The graph above shows the base of an object. Compute the exact value of the volume…

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Q: Problems 1-3, find a linear model and use it to make a prediction. 1. A 2-mile taxi ride costs…

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Q: Find the volume of the solid generated when the region in the first quadrant enclosed between the…

A: Region is bounded by y=x and y=x2rotating the region about line x=3

Q: When getting the points from symmetric equation, do we just do x = x0 or we have to divide it by x =…

A: To find the vector ,parametric and symmetric equation of line passes through point  and parallel to…

Q: Use linear approximation, i.e. the tangent line, to approximate √64.4 as follows: Let f(z) = √. The…

A: By using linear approximation, i.e. the tangent line, to approximate .

Q: A deli owner has room for 65 containers of shredded Parmesan cheese. He has 5-oz and 10-oz…

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Q: Determine whether the equation is exact. If it is, then solve it. 4t y dy + (4 In y + 9)dt = 0 A.…

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Q: S x√3x + 1dx

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Q: expand when heated and contract when cooled. The dimensions of a piece of laboratory equipment are…

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Q: Describe the left-hand and right-hand behavior of the graph of the polynomial function. (Select all…

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Q: Find the indefinite integral. [cxc² (7) ax CSC dx Step 1 Observe that 1/3 1/3 is the derivative of…

A: .

Q: Let g(x, y) = { 2² 3x if x #y if x = y (i) Show that lim (x,y) (0,0) g(x, y) = 0. (ii) Determine all…

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Q: Consider the function f(x) = 10√x+2 on the interval [2, 9]. Find the average or mean slope of the…

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Q: Consider the plane with equation x + 2y + 2z - 60. Determine the point on the plane that is closest…

A: The given plane is,Compare this equation with So here we have,

Q: Evalute the following integral by changing to cylindrical coordinates. 36-x² 36-3x²-3y² 1.-²2. √x² +…

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Q: Given y = f(u) and u = g(x), find dy dx y = tan u, u = 11x-4 = f'(g(x))g'(x) = dy -= f'(g(x))g'(x)…

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Q: Find d²y dx y = 4x+9

A: Given, y=4x+9

Q: Find the area of the region enclosed by the curves y = || and y = 2

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Q: Find the derivative. Note that we have not learned the "quotient rule" yet, so use algebra to…

A: According to our guide line we do only the first part of multiple questions. Please re post the…

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: Give a formula for a polynomial function that has x-intercepts at x= -6, x= -5 and x=2 (in typing…

A: A polynomial function has -intercepts at  and .The aim is to find the polynomial function.

Q: A table of values for f, g, f', and g' is given. X -8 -7 -6 f(x) g(x) f'(x) g'(x) -6 -8 -2 -7 -1 -7…

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Q: Solve the following problem and show your complete solution and explain your work. # 1. Find an…

A: Vertices (0,2) and (6,2)Asymptotes y=2x/3 and y=4- 2x/3Find the equation of hyperbola.

Q: 2. Find the arc length function associated to the curve y = ln(cosx), where 0<x<.

A: y=ln⁡(cos⁡x), where 0⩽x⩽π4.

Q: The cost for producing a bags of soil is given by C'(x) = 500+ √10x²+2x+300 with 0≤ x ≤ 4000. Find…

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Q: For the following exercise, assume that f(x) and g(x) are both differentiable functions of a with…

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Q: 22 V2x + 9 +9

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