x +4 x dx

Q: 14) Differentiate 3√x + 2x 7x² y=-

A: 14) y=(3 sqrt(x)+2x) /(7x2)According to the bartleby guidelines we solve only one question, so…

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A: Given,

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A:

Q: Find the slope of the tangent line for f(x) at x=9 given f (x)= (-1)/(the tenth root of 9x^9)

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Q: Find the area of the region enclosed by one loop of the curve. T= 5cos (40)

A: Given polar curve

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A:

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Q: Consider the function below. (Round the answer to two decimal places.) f (x) x+7 x² +7 (a) Find the…

A:

Q: What is the slope of the line tangent to the curve X = (1 + sin t) cost, y = (1 + sin t) sint at t =…

A: x=(1+sin⁡t)cos⁡t,y=(1+sin⁡t)sin⁡t at t=π

Q: Let an 3n 4n+1 (a) Determine whether {a} is convergent. (b) Determine whether a,, is convergent. n=1

A:

Q: On a typical day, the snow on a mountain melts at a rate modeled by the function M(t) = TU sin it 8…

A: As per our guidelines we can solve one question only or 1st three sub parts only. If you need more…

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A:

Q: 3. Use implicit differentiation to find the equation of the tangent line to the curve y² (y² - 4) =…

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Q: Find all the real-number roots of the equation. Give an exact expression for the root and also a…

A: The objective of the question is to find the real roots of the given equation. The equation is 311x…

Q: Consider the function below. (Round the answers to three decimal places. If you need to use -∞ or ∞,…

A:

Q: Given that [*6x√x² + 9 dx - 20√/10 - 54, what is 6u√² + 9 du

A:

Q: 17. f(y) 2 3 your 1³

A: Given, .

Q: Refer in class example from Section 15.1-15.3 Example 3. Think about if we can evaluate the…

A: To evaluate the following integral.Here the order of integration is  first i.e. firstly, we have to…

Q: Suppose f has absolute minimum value m and absolute maximum value M. Between what two values must [₁…

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Q: Find the accumulated future value of the continuous income stream at rate R(t), for the given time…

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Q: Read It h(x, y) = e -8x sin(y), P(1, P(1, 1), V = -i

A: h(x,y)=e-8xsiny, P(1,pi/2), v=-i

Q: For the following exercises, solve to four decimal places using Newton's method and a computer or…

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Q: True or false: If f(x) = 12 for all real numbers , then f"(x) = 0 for all real numbers .

A: The question is asking whether the second derivative of a constant function is zero for all real…

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Q: List the first five terms of the sequence. a₁ = 18, ªn+1 a n n

A: The given sequence is defined as.The aim is to find the first five terms of the sequence.

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: The given nth term of the sequence is

Q: Consider the equation below. (If you need to use -∞o or ∞, enter -INFINITY or INFINITY.) f(x) = 2x³…

A:

Q: Find the absolute maximum and absolute minimum values off on the given interval. f(x) = 2x³ 3x² -…

A: The given function is

Q: D f(x) = (4x-9)² and g(x)=- x+9 4

A:

Q: an = 50+1 67

A: an=5n+16n

Q: Suppose that an= -4 and Al! 00 Wi (9an + -6bn) (9an+-6bn) n=2 00 b₂ = 8 and a₁ = 3 and b₁ = -1, find…

A:

Q: 3. The charge through a resistor is given by q = 4t³ - 9t². What is the current through the resistor…

A: Given charge is, .Formula for current is, .

Q: (b) 3x² - y² = 12 x² + y² = 4 2

A:

Q: 9. f(x) = 1 |x - 21 1

A:

Q: Find the 5th partial sum, 55 of the series Σ(-1)" n=2 $5 = 0 ∞0 X

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Q: Find the gradient of the function at the given point. In(x² − y) – 7, (3,8) X Vz(3, 8) = Z

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Q: A cup of coffee at 160 degrees is placed in a room where the temperature of 70 degrees After 5…

A: The initial temperature of the coffee After 5 minutes,

Q: 5. A population of bacteria decreases by a factor of every 12 hours. 6. The average yearly…

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Q: If f(x) = g(x) = Σ 18 n=0 118 n=0 -x", find the power series of f(x)g(x). 5η

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Q: Decide if the series diverges or converges. If it converges, find its sum. Make sure to show step by…

A: The given series is .The aim is to determine the given series is converges or diverges.

Q: Find the equation of the tangent line to the curve f(x) = -x³ + 2x at x = 1. O T(x) = 1 + (-1)(x -…

A: The given function .The aim is to find the equation of the tangent line at the point .

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Q: The logistic model P(t) = 96.0235 1+0.0455-0.1864t represents the percentage of households that do…

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Q: write a polynomial f(x) that satisfies the given conditions.  Polynomial of lowest degree with…

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Q: Given f(x) = = 2 x+1' f'(3) = find ƒ' (3) using the definition of a derivative. Provide your answer…

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Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

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Q: Given the one-to-one function f(x)= <+4, define the rule, domain, and range of r²(x). Each category…

A: Consider the function

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A: To find a cubic function f(x) = ax^3 + bx^2 + cx + d that has a local minimum value of 0 at x = 1…