g(x)=x³ sin (√√x) sin(√)

Q: If f(x)=√√x²-1 and g(x) = x+1, which expression is equal to f(g(x))? + 2x (x+1)²-1 +x-1

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Q: (SHORT BOND PAPER) Find the slope and equation of the tangent line to the graph of the equation at a…

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

Q: 10. Find (t) given that å(t) = −32j, v(0) = 600√√3ỉ + 6003, and 7(0) = 0.

A:

Q: A bacteria culture starts with 340 bacteria and grows at a rate proportional to its size. After 3…

A: a). P(t) = 340e0.36620t b). 707.22 bacteria c). 4.07 hoursExplanation:- The population growth is…

Q: · (x−1)² √x d) f - dx =

A: To evaluate the following integral.

Q: Based on that graph given, what is the domain and range, how many extrema are there, and what does…

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Q: 12. [1, 2] AROC: 7 6 5 4

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Q: Given the following integral I(n) = (1-2)"dx. We want to ultimately show that 22n+1 (n!)2 I(n) =…

A: 1. Evaluating I(n) for:1.1. I(1)= ∫−11​(1−x2)1dx1.2.∫−11​(2−x2)2dx 2. Show I(n) can be expressed as…

Q: Compute the surface area of revolution of y=sinx about the x-axis over the interval [0,9π].

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Q: Let h be a continuous function over the interval [-5, 10] with derivative given by h' consisting of…

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Q: day is given by the following. P(x) = -0.05x² + 22x - 120, 0 < x < 400 (a) List all the critical…

A: Note: According to Bartleby guidelines, we can solve only first three subparts of the question.  If…

Q: Compute the integral ∫2x+1/x3-x2+x dx

A: ∫(x3−x2+x)(2x+1)​dx=ln∣x∣−(21​)ln∣x2−x+1∣+C.Explanation:To compute the integral∫(x3−x2+x)(2x+1)​dxwe…

Q: 7. Find a closed formula for each of these recursively defined sequences. (a) a₁ a₁ = 4 and an+1 =…

A: The objective of this question is to find a closed formula for each of the given recursively defined…

Q: Let z be a number that satifies the Mean Value Theorem for f (m) on the interval 4 ≤m ≤ 16. What is…

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Q: Find all max and mins on the given intervals using the first derivative test. Make sure to show all…

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Q: Prove the reduction formula for ∫ sinnx dx

A: The required answer is given below Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Suppose that the marginal propensity to consume is dc 0.5 -2y (in billions of dollars) dy and that…

A: Given that the marginal propensity to consume is

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y=x^5, y=1…

A: Given that the region is bounded by the curve  ,line  and the y-axis in the first quadrant.

Q: Suppose that the marginal propensity to save is ds 0.20 (in billions of dollars) dy and that…

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Q: Find the area of the region bounded by the graphs of the equations y = cos² x, y = sin²(x), x = - πT…

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Q: The graph below is of f'(x) for some function f(x) with domain (-∞0, ∞o) (i.e., the graph of the…

A: Given graph of the derivative of a function.We get critical numbers when the derivative of the…

Q: Determine the limit shown below in simplest form. x² - 1 lim x 0x² + x

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Q: SOLUTION If f(x)=5x2 - 1 40 In(x), then 1 f'(x)= 10x 40x 1 + [f 1 + [f'(x)]² p>'(x)]² = - ( 1 10x…

A: S(x) = 5x2 + (1/40) ln(x) - 5

Q: Find the limit

A: The objective of the question is to find the limit of the given expression as x approaches infinity.…

Q: Find the volume generated by revolving the area bounded by y=1/(x^3+8x^2+12x), x=3, x=9, and y = 0…

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Q: O O O f 1. Translate the expression lim παπΔ..-10 an integral. (8 cos x) dx [₁(8 cons² z) dz x) dx…

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Q: The radius of a right circular cone is increasing at a rate of 4 inches per second and its height is…

A: Formula

Q: 3. Consider the function f(x, y) = 2x² - y² + 4x + 6y subject to x + 2y = 20 a) Write down the first…

A: The given function The given constraint

Q: Approximate the area under the curve by evaluating the function at the left-hand endpoints of the…

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Q: Find the center of mass of a laminate bounded by y=−x,y=x,y=2 with variable density modeled by \rho…

A: The objective of this question is to find the center of mass of a laminate with variable density.…

Q: Please Solve Using Differential Equation Thank you!

A: −9596 Dollers per Day Explanation:

Q: Зп 4 6п Зп 8 П 4. Find Ax in the Riemann Sum k=1 Зп f(x1)∆x on the interval |0, 0,3 2 using 4…

A: The Riemann sum  is given on the interval .

Q: The region bounded by the curve y = x² + 1 and the line y-x+3 is revolved about the x-axis to…

A: Given that the region bounded by the curves

Q: #3: Find the maximum of f(x, y) = 19 ln(18x6y6) + 43 subject to x² + y² = 25, x > 0, y > 0.

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Q: Consider the function h(x) = x² – 2x + 3, x ¤ R. For what values of x is the gradient of the curve…

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Q: 18.2 Well water having a total hardness of 300 mg / L as CaCO , is softened by split treatment . A…

A: The objective of the question is to calculate the regeneration period, the hardness of the finished…

Q: Let f(x) = 5(x - 3)2/3 +4. (a) Find the interval(s) where f(x) is increasing. (Enter your answer…

A:

Q: THIS IS CALCULUS (integral) in ft and lb please find the work done by the force to stretch the…

A: The objective of this problem is to find the work done by the force to stretch a spring 7 inches…

Q: If consumption is $7.9 billion when income is $1 billion and if the marginal propensity to consume…

A: Given marginal propensity  (in billions of dollars)

Q: Find the curvature correctly

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Q: a) The function and its derivative always have the same domains. (b) To find the derivative of h(x)…

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Q: Differentiate and simplify each of the following. a) f(x) = 8x³ +7x² − 3x+14 c) f(x)=(x²+1)'(7x +…

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Q: Let f(x)=4x²-7x²-2, x21.5. Find the value of at the point x = 43= f(3) is The value of dx (Type a…

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Q: dy Solve da 319-319 Solve dy = dx x-4 x+1 xy

A: The solutions have been provided.Explanation:

Q: Decide on the function f(x)  is uniformly continuous on the interval (0,∞).

A: The objective of the question is to determine whether the function f(x) = cos(x) - 1/x is uniformly…

Q: Use integration by parts to evaluate the integral: sin(9t) est dt 145e8t (-8 sin(9t) - 9 cos(9t)) +…

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Q: If H (x) = x² (2x-41)

A: H(x)=x2(2x−11−4x)

Q: 7. ) Use the model A = Pert to derive a formula for finding the time it takes for an investment to…

A:

Q: Cost, revenue, and profit are in dollars and x is the number of units. If the daily marginal cost…

A: Given:marginal cost for a product fixed cost = $700To find:Total cost functionAs we know- MC is the…

Q: The original 24 m edge length x of a cube decreases at the rate of 3 m/min. a. When x = 5 m, at what…

A: