The following table records some values of the functions f and g. T 2 3 4 5 0 1 f(x) 1 0 3 10 21 36 g(x) 5 12 13 8 -3-20 If h(x) = x², then compute the exact value of (hog)(4)

Q: Let (x0,y0) = (1,6) and (x1,y1) = (1.4, 6.5). Use the following graph of the function f to find the…

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Q: A Bernoulli differential equation is one of the form n appropriate substitution to solve the…

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Q: Suppose that x and y are differentiable functions of t and that 81 = x² + y², then dy dt Use either…

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Q: The radius of a spherical balloon is measured to be 7 inches,

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Q: Find the average height of the paraboloid z = x² + y² over the square 0 ≤x≤2, 0≤y ≤ 2. The average…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the length of the curve y 4 - 6x 5 from y = 0 to y = 30.

A: The given curve .The aim is to find the length of the curve from  to .

Q: Enter each answer as a whole number (like -4, 0, or 253) or as a decimal number (like 7.43 or -2.15)…

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Q: A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of…

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Q: 7. ydx -(x + √ y² = x² X = 1 1=6 dy = 0

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Q: particle initially located at the origin has an acceleration of a = 4.00ĵ m/s² and an initial…

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Q: Solve the following system of linear equations: x1+3x2+3x3 = 1 -x1+2x2+2x3 = 9 3x1+8x2+9x3 = 4 If…

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Q: 58. y = (x-2)(x² + 3x) (1,-4)

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Q: Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: Use any method to evaluate the integral. 5√2/2 11x² dx S 0 (25-x²) 11x²2 dx 5√√2/2 S 0 (25-x²) (Type…

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Q: P (x) = x² + 12x³ + 12x² + 12x + 11 = 0

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Q: Find the constant a such that the function is continuous on the entire real line. 4sin x X a - 4x a…

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: Suppose f(x), g(x), and h(x) are continuous functions such that g(-1)=2, h(-1) = 3 and lim (f(x))2 -…

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Q: Consider the following. f(x) = (4x)² (a) Sketch a graph of the function f. 6 -8 -6 -4 -2 2 4 -2 2 N…

A: The given function

Q: Find the absolute extreme values and where they occur. Select the correct choice below and, if…

A: The given graph

Q: Find the general solution in powers of x of (x2-1) y" + 4xy' + 2y = 0.

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 4³/² on 2 ≤ x ≤ 4.

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. √a² - y², 0≤y≤…

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Q: Solve. Round to the nearest hundredth if necessary.   Express 70m/s in feet per second…

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Q: f(x) = 7²2²9

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Q: Given y = f(x) = |x - 2| + |1 − 2x|-|1 - x. Write y as a piecewise function by showing your work for…

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Q: The Eiffel Tower, in Paris France, is approximately 324 meters tall. A camera is 85 meters from the…

A: The figure

Q: The derivative of a function f(x) at x = a is given by 19+x-4 x + 3 lim x → -3 Find f(x) and a. f(x)…

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Q: 3. You want to create a box with an open top by cutting squares with sides of length x from each…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the domain of the given rational function f(x) = = 5થ x2_5x+6

A: NOTE : Any rational function exists if the denominator is non-zero in its entire domain.Therefore,…

Q: 7. x - 4y = -10 -2x+8y= 20

A: Given

Q: Solve the initial value problem yy' + x = a. To solve this, we should use the substitution U= u': x²…

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Q: O 4. For the function f(x) = x² – 3, Find f - 1/3-x² Ox-3 x² X 012-3 O 1-3 X (1)

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Q: You deposit a lump sum Pin a tnast fund on the day your child is born. The fund earns 7.3% interest…

A: Rate of interest  r=7.5%=0.075future value  A=$ 600,000

Q: Refer to functions m and n. Find the function (mon) (x) and write the domain in interval notation.…

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Q: Find dy/dx by implicit differentiation. x = 6 In(y² – 35), (0, 6) dy dx = 10 Find the slope of the…

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Q: Let F(2) = 2, F'(2) = 3, H(2) = 4, H'(2) = 3. A. If G(z) = F(z)*H(z), then G'(2) = _______ B. If…

A: The Product Rule:The Quotient Rule:

Q: The function s(t) describes the motion of a particle along a line. s(t) = 16tt² (a) Find the…

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Q: Find the length of the curve a = 3y from y = 0 to y = 5. Round your answer to four decimal places.

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Q: Find a formula for the sum of n terms. Use the formula to find the limit as n → ∞⁰. n - (+4X(²) lim…

A: limn→∞∑i=1n(8+in)(2n)

Q: Nutrition Ruff, Inc. makes dog food out of chicken and grain Chicken has 10 grams of protein and 5…

A: Given:Ruff, Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5…

Q: given that h(x) = log_3(2x+5) which the following is the dervivative h'(x)? a.1/(2x+5)ln3…

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Q: Consider the following graph. implicitly explicitly dy dx y = dy dx -4 = x² + 12 2 = -2 y Are the…

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Q: For f(x)=√x and g(x) = 2x+7, find the following composite functions and state the domain of each.…

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Q: 9 Find the function with the derivative f'(x) = ªx whose graph passes through the point P 0, :P(0,…

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Q: 104. Square Garden Ronnie Tucker has a square garden. He adds a 2-foot-wide walkway around his…

A: Square Garden Ronnie Tucker has a square garden. He adds a 2-foot-wide walkway around his garden. If…

Q: 103. Vegetable Garden Sally Yang's rectangular vegetable garden is 20 feet by 30 feet. In addition…

A: Vegetable Garden Sally Yang's rectangular vegetable garden is 20 feet by 30 feet. In addition to…

Q: Find when dx dy dx 28sin^3(In(x)) cos(In(x))/x = y = -7 sin¹ (In (x))

A: The function is Here we have to find

Q: Solve the given differential equation by using an appropriate substitution y' = y(xy³ +5) Use C to…

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Q: Use derivative rules to differentiate the function. Perform reasonable simplifications. g(x)…

A: By using derivative rule to differentiate the following function.