Find the average value gave of the function g on the given interval. 5 1+t²' 9 ave = g(t) = [0, 7]

Q: Given that f(x) = x². - (a) (f+g)(x) = (b) (ƒ — g)(x)= (c) (fg)(x)= (d) (-/-) (2). (₁) [ = 14x and…

A: Given that , fx=x2-14x and gx=x+1

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Q: Find an equation of the line that passes through the given point and has the indicated slope m.…

A: To find an equation of the line that passes through the given point and has the indicated slope m.…

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Q: a) Consider the first order differential equation (+²¹² + 1) dy-0 ry'dr + By multiplying the…

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Q: K Find and simplify the expression if f(x) = x² – 3. f(x + 1) f(x+1)= (Simplify your answer. Use…

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Q: Consider the following vector function. r(t) = (2√2t, e²², e-20) (a) Find the unit tangent and unit…

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

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Q: A. In each of the following, find an equation of the line (in general form) that satisfies the given…

A: As we know that, The slope-intercept form of the equation of the line is: y=mx+c Where m is the…

Q: ula, f(g(x)) g'(x) dx = J f(L g(a) a

A: we  have to evaluate the integration :-∫133lnx2xdx   for solving integration , let substitute    u =…

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -6 and g'(2) = 3.…

A: We have given  graph of the function  y=gx When x=2 g2=-6 Let, x1,y1=2,-6 g'2=3 Slope (m) = g'2=3…

Q: Solve the differential equation, to get a prediction of the Heparin levels (in mg) over time. dH dt…

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Q: The graph of y=f(x) is shown in red. Graph y = -f(x). Choose the correct graph (in blue) on the…

A: use the sign of the graph given in picture.

Q: 2. Compute the work done in hoisting an 1100-lb grand piano from the ground up to the third floor,…

A: Given weight ( w ) = 1100 lb let height = h so given h = 35 feet

Q: Set up (but do not evaluate) the integral to compute the first moment of a thin plate of constant…

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Q: Find the radius of the sphere which passes through the point (−1,4,3) and has center (8, 1,3).

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Q: Draw out using base-ten blocks to compute the following. a) 46 +38 b) 115-69

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Q: Given the parabola (y - 3)² = -8(x-2): Find the following: Equation of axis Focus Equation of…

A: We have equation of parabola.

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

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Q: 25. y = x³, y = 0, x = 1; Answer + 3п/5 about x = 2 0 y=x² x=2 J

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Q: The graph shows the height h (in ft) of a roller coaster t seconds after the ride starts. Height…

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Q: Let y=15√x (a) Is this a power function? (YES or NO) If it is a power function, answer the…

A: given  y=15xaccording to power function definition, a single term function made up of a real number…

Q: (a) Find an equation for the plane that is perpendicular to v = (1, 1, 1) and passes through (1, 0,…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The graph of g'(x), the derivative of a function g(x) is pictured below on the closed interval [-9,…

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Q: Consider the function H(x): = 23 + 2x - 1 10x + 2 if x > 3 if x < 3 Determine if H is differentiable…

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Q: calculate the volume of the shape obtained by rotating the region bound by f(x)=x/4 and g(x)=…

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Q: Find lim lim h→0 f(3+h)-f(3) h f(3+h)-f(3) h if f(x) = 5x - 6. (Simplify your an

A: NOTE: Refresh your page if you can't see any equations. . substitute x=3 . substitute x=3+h

Q: A solar hot-water-heating system consists of a hot-water tank and a solar panel. The tank is well…

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Q: Evaluate the indefinite integral 5 dx x²√x²+36

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Q: A. In each of the following, find an equation of the line (in general form) that satisfies the given…

A: Solution is given below:

Q: Find the angle between vectors u = (-9, -6, -1) and v= (3, 6, 4). Express the answer in radians…

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Q: How fast is the tomato travelling when it hits the ground? units: feet per second ✓ OF Question…

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Q: Suppose the derivative of f exists, and assume that f(2)=1, and f'(2) = 2 Let g(z)=z²f(z), and h(z)…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 4. Let f(x) = 5x² + 7x-2. Evaluate and simplify the difference quotient class: i. f(x + h) = ii.…

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Q: the region bounded by the given curves about

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Q: Use the graph of the function g shown to estimate the function value g(2.7). Ау

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Q: en a ball is thrown vertically upward on the moon with a velocity of 20 ft/sec its height, y(t), in…

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Q: Find the limits in a) through c) below for the function f(x) = OA. a) Select the correct choice…

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Q: Write the exponential function y = 400e-0.11t in the form y = Pat. (a) Once you have rewritten the…

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Q: 4. About the y-axis y 10 (1, 2) (2, 1) y=x/2 (4,2) y = 2/x X

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Q: The logistic growth model P(t) = 100 1+32.33e-0.439t represents the population of bacreriums after t…

A: GivenThe logistic growth model is P(t)=1001+32.33e-0.439t   We are required to find a. Carrying…

Q: How many years would it take your money to double: (a) At 10% interest compounded yearly.  years.…

A: NOTE: Refresh your page if you can't see any equations. . the compound interest formula is given by…

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

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