Given: f(x)=4x-10 and g(x)=√x-6 Determine the following: (f-g)(10)=0 (HM)={ (fog)(7)=O -O (gf)(6) = O (15)=O 0014 g (gof)(5)=

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A: We have to find the given function as a composition of two functions f and g.

Q: 4. Let f(x, y) = (a) (1,-1). Find the slop of the surface z = f(x, y) in the x-direction at the…

A: given function

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A: Given the table below gives the velocity of a runner at half-second intervals during the first three…

Q: For every solution y(x) of the equation y''+ 2y'+ 5y = 0 it is true that limx→∞ y(x) = 0. ?

A: Consider the equation

Q: xª−12x³+36x² X-6 x4+x³-42x 2) lim ||

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

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A:

Q: Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not…

A: f(x) = 2x-7

Q: Suppose f(x, y) = x² + y² - 8x and D is the closed triangular region with vertices (8,0), (0,8), and…

A:

Q: x 0 1 2 3 4 5 6 7 8 9 f(x) 6 1 3 7 2 5 0 9 8 4 g(x) 6 5374 8 0 1 29 2 9

A: xf(x)g(x)066115233377424558600791882949

Q: The diagram below shows upper and lower sums for the function f(x)=√√x+1 using 4 subintervals. Use…

A: given function

Q: A formula for the derivative of a function f is given. How many critical numbers does f have? f'(x)…

A: The critical number refers to the value at which the first derivative f' (x) of the real valued…

Q: (a) Find and sketch the domain of the function f(x,y)=√x+2+√√√y+3 (b) Evaluate the limit -8xy lim…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = t -√√t,…

A: f(t)=t−t3,[−1,4]

Q: 3 f(x) = x³ – 3x² + 4

A:

Q: Find the total differential. 8x + y 3z - 2y dw = W = 8 3z-2y dx + 3z- - 4y - 16x (3z-2y)² Jdy + (7…

A:

Q: Find all values of x and y such that f(x, y) = 0 and f(x, y) = 0 simultaneously. f(x, y) = x² + 4xy…

A: To find all values of  such that  simutaneously.

Q: 8 3 dx √√x-3

A:

Q: List the four smallest elements of the set. (Enter your answers as a comma-separated list.) {y|y =…

A: {y|y = x2 − 3, x  integers}

Q: True or false: Suppose that a is a real number. The graph of y = f(x) has a vertical asymptote at x…

A:

Q: The line given by the parametric equations x= 3+2t, y=4-t, z=1 + 3t passes through the point (11, 8,…

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Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

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Q: Find the critical numbers of the function f(x) = 12x5 + 45x¹20x³ +4 and classify them. Round your…

A: To find the critical numbers of the function  and to classify them.

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A:

Q: Let f(v) = v +17 v + 12 Determine the critical values of f. Write exact answers. Do not round off.…

A: Given,

Q: a. On the same axes, sketch a graph of the inverse function f-¹(x). b. Use the graph of the inverse…

A:

Q: Let 16x-5 1x² +5 Enter the exact value of the one-sided limit lim f(x) 3-2 f(x) = if x ≤ 2 if x > 2

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Q: Air Traffic Control An airplane flying at an altitude of 6 miles passes directly over a radar…

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Q: A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The…

A: A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The…

Q: Evaluate the following integral, (9x - y²)dx + xy dy where C is given by x X = 5t, y = √t, 0 ≤ t s…

A:

Q: Find the lines that are tangent to the curve y = 2tan(pi*x/4) at x=1

A: The equation of tangent line passes through point  with slope

Q: Consider g(x) = -6x³ + 14 - 14x - 16x² Determine the intervals on which g is decreasing. g is…

A: In this question, we will find the interval of increasing and decreasing and local maximum and…

Q: Given the function f(x) = -2x² Find the difference quotient Find f'(x) by determining lim h→0 -4…

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Q: 2) Draw a direction field for the given differential equation. Based on the direction field,…

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Q: 0 1 1 3 X g(x) g'(x) 2 33 2 3 25 -2 3 2 0 50 4 -1 0 -3 4 Enter your answer as a whole number (like 6…

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Q: If u and v are the vectors below, solve the following equation for the vector x. 2 4 u= -1 v=|–1 5…

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Q: Evaluate the derivative of the following function. f(x) = 2x sinh − 1x − 2/x+1 f'(x)= 2 arcsinh(x)

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Q: Find the differential of the function. dy = y = √ 8-t6

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Q: Find the arc length of the curve on the given interval. Parametric Equations x= 7t + 5, y = 7 - 8t…

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Q: question e,f

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Q: Find the domain of the function. h(u, v) = √3-u² - v² Ou+v≤3 Ou² + v² 0 Ou+v<3

A:

Q: The magnitude of the vector (3, -2, 4) is 29. Select one: O True O False

A: The given statement "The magnitude of the vector  is "

Q: Use partial fraction decomposition to find the following integral -da 24-1

A: I=∫x2x4−1dx

Q: Find aw/as and aw/at using the appropriate Chain Rule. Values Function w = y³ - 2x²y s=-3, t = 6 x =…

A: To find  by using the appropriate Chain Rule.Function: Values: To evaluate each partial derivate at…

Q: differentiate. do not simplify f(y) = (3-y^3)^3/4

A: given function

Q: Evaluate the indefinite integral. 0+ +C 54 sin x COS X dx

A:

Q: If z² = x² + y² with z > 0, dx/dt = 2, and dy/dt = 6, find dz/dt when x = 6 and y = 8. dz dt Answer:…

A: The Power Rule:The Chain Rule:

Q: The populations of Towns A, B, and C vary exponentially with respect to time. The population of…

A: The populations of Towns A, B, and C vary exponentially with respect to time.1.The population of…

Q: 5- 4+ 3- 2- 1 -1 -2 -3 -4 -5 J/2 Find lim f(x) XIT л 37/2 The graph of the function f(x) = cotx is…

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Q: Given g(x)= x² +2 , find all asymptotes of the graph; then draw the graph, showing asymptotes as…

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Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) X…

A: