Given the following table of values, find h' (3) if h(x) = 3 f(x) g(x) f(x) f'(x) g(x) g' (x)

Q: Question A potato is launched vertically upward with an initial velocity of 136 ft/s from a potato g...

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A: To solve this question we need to apply the concept of maxima and minima.

Q: 10 4 2 -6 -5 3-2 -1 į 2 3 4 5 -2 -4 -6 -8 10+ The function graphed above is: Concave up on the inter...

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Q: Answer this question by showing all work and formulas used to solve both derivative functions and si...

A: Given,           f'x=32x3+126x23-4x2+2x3+1323-4x-4           g'x=4x-1-12+4x+1-12x-1-32To find : Simp...

Q: The rate of expenditures on public elementary and secondary schools, in billions of dollars per year...

A: Given query is to find total expenditure.

Q: (a) If $2,300 is borrowed at 7.5% interest, find the amounts due at the end of 4 years if the intere...

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Q: Let q > 0. The integral 1 %3D (4x + 3)5 8.

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1+ x %3D 00 f(x) = 1 ...

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Q: Problem 5: Solve the following differential equation for y(t) for the initial value problem using th...

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Q: x -6x-1 3 x2 Find the derivative of the function f(x) = at the point -1.

A: Topic = Derivative

Q: The solution to the differential equation (5x² – 3)dy + xy°dx = 0 %3D is: Select one: 10 ソ=ー In(5x² ...

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Q: The interest rate for a savings fund was 3.40% compounded semi-annualy for the first 4 years and the...

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Q: 2. a) Iff(6) = 3,f'(6) = 6, g(6) = 1, and g'(6) = 4, determine () (6).

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Q: The sum of the series n-16) is: A) 1. B) 2. C) D) E) Diverges.

A: topic - series convergent and divergent

Q: Given the ordered pair P, determine the requested sin, cos, or tan of angle a. P(6,-5) cose = O (5V6...

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Q: Use Green's Theorem to calculate (4z? - 3yz)dr + (3zy + Vy? + 6)dy, where Cis the circle (r – 1)2 + ...

A: Greens theorem

Q: If you are doing least to greatest and you have 0.750 and 0.3 do you add two zeros or keep 0.3 the s...

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Q: Find the area of the region enclosed by the graphs of: y? = x+5 and y2 = 3 - x. 32 A) 3 16 B) 3. 64 ...

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Q: Find a unit vector perpendicular to both (3,-2,4) and (-1,2,-3).

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Q: 10) Construct a Pictograph illustrating the information provided in the chart. Label the pictograph ...

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Q: 5. S 5u³ In 4u du

A: Note :- These are the multiple questions and according to company guideline we can maximum one quest...

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. dy 1 2xy = 4y, y(1) 3 = %3D d...

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Q: Given f(x) = x + 9 and g(x) = Vx + 10, determine the following. Write each answer using interval not...

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Q: The straight line L1 that passes hrough the points P1 (2, 8) and P2 5), and the straight line L2 pas...

A: Given: - The straight line L1 that passes through the points P1(2,8) and P2(7,5) and the straight li...

Q: Calculate the accumulated amount of end-of-month payments of $8,500 made at 4.21% compounded quarter...

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Q: Let f(x) be a continuous differentiable function that f(x)- 4 satisfies lim =D5 %3D x3 x-3 Which lin...

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Q: Qu 4 Using an operator , solve the following differential equations d²y dy a) dx² 10 + 25y = 0 dx

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Q: Find the volume of the solid formed by rotating the region enclosed by y = e*" + 4, y = 0, ¤= 0, I =...

A: We have to find the volume of solid formed by rotating the region enclosed by curve  About x-axis

Q: Question Define Q as the region that is bounded by the graph of the function g(y) = - Vy – 1, the y-...

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Q: Evaluate the improper integral (if it converges) or else show that it diverges. 00 dx (2² + 5)*

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Q: 1 1 Consider the series and n=1 Vnº + 6n – 1 n3/2 n=1 1 1 Write an inequality comparing for n > 1. t...

A: Explanation of the answer is as follows

Q: 5. Find the limit of lim x* +0-x

A: Topic = Limits

Q: Use the Intermediate Value Theorem to show that 2x – 3 - if – 3 0 has a zero on the interval [-2, l...

A: First compute the function if they are continuous then apply the intermediate value theorem.

Q: Define Q as the region that is bounded by the graph of the function g(y) = 2/y+4, the y-axis, y = -3...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (–1)k+1 k! (2k...

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Q: lim Example 21. x → 0 Jx + a - Va: |

A: see below the answer and calculation

Q: 14e" dx 1+ e20

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Q: Find and sketch the level curves f(x,y) = c on the same set of coordinate axes for the given values ...

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Q: The cost, C (in $), to rent a car for n days from the EZ4U rental company is given by the linear fun...

A: see below the answer and explanation

Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 csce = 5/3 5/4 -5/3 -5/4

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Q: a2/2 if l띠 3. Find vertical asymptotes, if any, for y = f(x). Find oblique asymptotes, if any, for ...

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Q: The function f is defined by the following rule. f(x) = 2* Find f(x) for each x-value in the table. ...

A: Find inverse of L. Let x=L(t) 

Q: Suppose f(x) - 6'Vi+ť' dt. 1) Evaluate / (2).

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Q: 8-2х (f) lim- нх* — х—12

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Q: 3. Suppose that z = f(x, y) is a differentiable function with respect to variables !! x and y and is...

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Q: Evaluate: dx. x-2 A) In 3 - In(-2). B) The integral diverges. C) In 3 - In 2. D) - In 3 + In 2. In 3...

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Q: Find the specified limit. f(x) - x+2, x > -1 lim f(x) ?

A: The given function is            f(x) = x2,  x<-1x+2, x>-1 We have to find the following limit...

Q: 2. f(x) = Va +æ + 1

A: Here, the given function is: f(x)=x2+x+13 Now, f'(x)=13(x2+x+1)13-1(2x+1)        =13(x2+x+1)-23(2x+1...