Question 15 15. The first derivative of the logarithmic function f(x)= In (e +3) is 1 A e +3 B e +3 C e +3 D e +3 O D

Q: Find the derivative of the following function. у -6 h(y) = 4Vy - 7 The derivative of h(y)= y-6 is 4 ...

A: Find the derivative of h(y).  Differentiate h with respect to y. 

Q: A company produces a special new type of TV. The company has fixed costs of $494,000, and it costs $...

A: NOTE: Refresh your page if you can't see any equations. . here fixed cost is $494000 and the variabl...

Q: about the y-axis

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Q: Evaluate O xy°dx + x²dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

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Q: Find the critical points c that correspond to local minima. (Use symbolic notation and fractions whe...

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Q: The figure is the graph of the derivative, f', of a function f on [-4, 2]. Determine the intervals o...

A: Topic:- calculus and application of derivatives

Q: Use the Theorem of Sequence Defined by a Function to determine the limit of the sequence or state th...

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer ...

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Q: Determine whether the alternating series converges. 00 5ln k k k=3 O The series diverges. O The seri...

A: On solving this series we will get

Q: 1 dx

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Q: az Use the Chain Rule to find az and as for z = x2y3,x = s cos t, y = s sin t. %3D at

A: We will use chain Rule to perform differentiation.

Q: The point P (2,3) lies on the ellipse 8a² + 2y² = c. Determine the value of c and write the point-sl...

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Q: Find the total area of the shaded region. AY 16- 14- 12 10 32 40 12 14 16-

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Q: Find the first and second derivatives of the function. g(t) = t°(6t + 5)* g'(t) g"(t) =

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Q: The function f is shown below. What is the value of f(x) dx? Write your answer in simplest form.

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Q: O Use a linear approxi mation (differential) to estimate 3999

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Q: Find the critical points of the following. 1. g(w)=2w3−7w2−3w−2

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Q: Write a chain rule formula for the following derivative. for u = f(p, q); p = g(x, y, z), q = h(x, y...

A: Given problem:-

Q: In the 2000 U.S. Census, a small city had a population of 45,000. By 2010, the population had reache...

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Q: 17. Find limx cos (4) using Squeeze Theorem. x-0

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Q: So 4х cos (2x) dx e x COS

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Q: Find the limit of the function along the path y = 0. X-m lim (х.у) - (0,0) у -п C. -" 772 772 A. 0 В...

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Q: Determine the global extreme values of the function f(r, y) = 4x³ + 4x²y + 2y², x,y > 0, x + y < 1

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Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of t...

A: We will use the give solution as we are instructed.

Q: Let us try to find where a function is increasing or decreasing given the following. 1. y = 2x –...

A: A function of x is given.We need to find the function is increasing or decreasing in the given inter...

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

A: We have to find the volume of the solid by rotating the region in the firs qudrant bounded by the cu...

Q: A single row operation was performed on the matrix on the left to produce the matrix on the right. U...

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Q: Let r(x) = f(g(h(x)), where h(1) = 5, g(5) = 4, h'(1) = 5, g'(5) = 5, and f'(4) = 8. Find r'(1). r(1...

A: Given thatrx=fghx where h1=5,g5=4,h'1=5,g'5=5,f'4=8 To find :r'1Solution:rx=fghxr'x=f'ghxg'hxh'xr'1=...

Q: 2. f(x) = Vx – 1 at x = 5

A: Function is continuous and differentiable both at x= 5.....for detail...go through the solution

Q: Use the difference an+1 - an to show that the sequence | {n – 9"}+x Sn=1 is strictly increasing or s...

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Q: Find the intersection of the line and plane: 4x + 4y – 3z = 5, r(t) = (1, 1, 1) + t(1, –2, 3) %3D %3...

A: Given that line and plane are 4x+4y-3z=5  ,rt=1,1,1+t1,-2,3To find :intersection point of line and p...

Q: 4.x+xy? y-x²y ,2 dy dx

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Q: Solve the following equation for x. log(4x+170) = 2

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Q: Use the trapezoidal rule withn = 5 to approximate %3D 5 cos(x) dx Keep at least 2 decimal places acc...

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Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the...

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Q: Use cylindrical shells to find the volume V of the solid. The solid torus (the donut-shaped solid sh...

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Q: Find what value of c does L dx = 1 ? x4 Answer:

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Q: A triangle having an area of 22.62 cm2 is inscribed in a circle whose radius is 6 cm. If one of the ...

A: Given query is to find perimeter of the triangle.

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

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Q: DIFTERENTIAL 6QUATO NS Eliminate the arbitraty constans y Iny c,e+ Cze Fihp THe BIFFERENTI EQuntoN F...

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Q: Find and sketch the domain of z = f(x, y) = In(9 - x - y²).

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Q: Evaluate the following integrals of inverse trig functions. NOTE: SHOW COMPLETE SOLUTIONS 1.∫ sin^...

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Q: 27 The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) ...

A: Given query is to find the height of the ball when it's fall with the rate of 120 ft/sec.

Q: 5q sin q p = 4 q* - 3 dp = dq

A: it is very basic problem of diffrentiation.

Q: (y – sin? x) dx + sin x dy = 0 2

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Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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Q: 25. Evaluate the following definite integral 10 a) S" V5x – 1 dx b) Sz sin 2x dx

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Q: 2+x*dr, %3D For positive integers n, the integrals I, are given by (a) , = 26V3. Show that I, (b) Pr...

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Q: 1 what is sin(-x)? 7 Given that sin(x) =

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Q: Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. fx.y) = - 2 + 7xy - 6...

A: We have to find the maxima and minima of the function.