Find the slope of the line tangent to the graph of f(x) = √√x – 1 at x = 2. - Provide your answer below: m = tan

Q: If f(3) 9 and f'(x) ≥ 2 for 3≤ x ≤ 8, how small can f(8) possibly be? f(8) ≥

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. a…

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Q: The area bounded by the curve y = sin x, y = 0 and x = π/2 is revolved about the line y = 1. Using a…

A: The region bounded by the curve  , and

Q: Evaluate the following double integral over the region R by converting it to an iterated integral.…

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Q: 19. A water wheel with radius 7 metres has 1 metre submerged. The wheel rotates at 6 revolutions per…

A: A water wheel with radius 7 metres has 1 metre submerged. The wheel rotates at 6 revolutions per…

Q: Evaluate the triple integral. 16 3 [[[ (x - y) dv, where E is enclosed by the surfaces z = x² X 1, z…

A: To find  Where E is enclosed be the surfaces

Q: The speed of a car at time t, 5 ≤ 1 ≤ 10, is given by f(t)= 2(t-10)². The Mean Value Theorem…

A: The speed of a car at time  is given by  The mean value theorem gaurentees that there will be a…

Q: Find all critical values for f(x) = - The critical values occur at x = commas) 9x 8 6x² 8x +9 (Enter…

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Q: Question 11 -6 -5 -4 3 10 8 6 7 + 2 -2 -6 -8 -10+ 1 2 3 4 5 The function graphed above is: Concave…

A: Given the function f(x),f is concave up on an interval I" data-mce-style="display: inline-block;…

Q: Suppose that f(x) = g(h(x)). In each part, based on one of the functions provided, find a formula…

A: Given: (a) If , then to find .(b) If , then to find

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Q: If F(x) = f* √1+5 dt, what is F' (2)?

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Q: 5 MMM 180° Sine:

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Q: Describe the given region in polar coordinates, such that 0≤r and 0≤0 ≤ 2. C 1 2√3 ✔ The lower…

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Q: Evaluate (2³/2-2cos(6x) + √x + e-2) dx. Approximate to two decimal places.

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Q: (Technology Permitted) At time t=0 there are 100 gallons of water in a barrel. Water starts leaking…

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Q: This exercise is based on the following table, which lists interest rates on long-term investments…

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Q: 7. The base of a right triangle grows 2 ft per sec, the altitude grows 4 ft per sec. If the base and…

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Q: An object is moving on a straight line according to the following position function. = -9 cos(5t) -…

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Q: The sales decay for a product is given by S = 80,000e-0.3x, where S is the monthly sales and x is…

A: The sales decay of a product is given by:Where,S= monthly salesx= number of months

Q: Question 3.55) Differentiate the following functions. Simplify your answers as much as possible. B)…

A: In question 3.55 there are many questions  which are not sub part of  same question  , so as per…

Q: lim sin X-E TX-4x+1 2x² +5

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Q: Find the derivative and simplify. y = (6x + 5)(x² − 3x). 1 y' =

A: Consider the function

Q: Suppose that Vf(x, y, z) = 2xyze¹¹i+zeªj+yeªk. If f(0,0,0) = 2, find f(3,3,4). Hint: As a first…

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Q: Suppose that 9(g(x))³ + 10x = 9x²g(x) + 40, and that g(4) = = −4. Find gʻ(4). g'(4) = ▶

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Q: an = 50+1 67

A: an=5n+16n

Q: The graph of f" is given in the figure below. (Click on the graph for a larger version.) Draw graphs…

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Q: Find A. (2A)-1 [ 리 -2 -2 21

A: given

Q: Calculate g(b)and g′(b), where g is the inverse of f=x−cos(x)where b=−1

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Q: Write all the calculations needed to find the eigenvalues corresponding eigenvectors V+ of the…

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Q: In the cylindrical shell formula for getting the volume of the solid of revolution, dV = 2πrhdr, ris…

A: In the cylindrical shell formula for getting the volume of the solid of revolution,

Q: f(æ)=-5x*+1 x y -2 -1 0 1 2

A: We need to find that the function is even or odd.If f(-x) = f(x),  then the function is even.If…

Q: Find the absolute extrema if they exist as well as where they occur. 9 f(x)=4-x--, x>0

A: f(x)=4−x−9x,x>0Using the power Ruleddxxn=nxn−1

Q: If f and g are functions of time, and at time t = 3, f equals 7 and is rising at a rate of 3 units…

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Q: 70. The base of S is the region enclosed by the parabola y = 1-² and the z-axis. Cross-sections…

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Q: When converted to an iterated integral, the following double integral is easier to evaluate in one…

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Q: Consider the function f (x) = x³ - x. Find the maximum and minimum value of fon [1,1]. Round your…

A: Consider the function

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) 00…

A: The given series .The aim is to find the interval of convergence and the sum of the series.

Q: Determine whether (-1)n-1 ln(n) is convergent. =1

A: The given series .The aim is to determine the convergence of the series.

Q: The top of a ladder slides down a vertical wall at a rate of 0.375 m/s. At the moment when the…

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Q: The position of an object at time t in seconds is given by (a) Find the velocity and the…

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Q: fand g are the functions whose graphs are shown, y = f(x) is in black and y=g(x) in red. Define H(x)…

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Q: Use the small increments formula to estimate the change in z =3x² - In(xy) when x increases from 0.1…

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Q: Find the future value if $4000 is invested for 11 years at 13% compounded annually. (Round your…

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Q: If: y = ax² + bx² + cx+d dy dx find the value of for a= 5, b = 9, c = 7, d= 6, x = 4.2 Give your…

A: Given that  then we have to find the value of  for a=5, b=9, c=7, d=6, and x=4.2.Formula Used:…

Q: Simplify the expression completely. 49 +4√−9+ √512

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Q: Let y = 2x². Find the change in y, i.e., Ay, when x = 4 and Ax=0.2 Find the differential dy when x =…

A: Here we have,

Q: Evaluate the limit. Use L'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Let f(x) = 2logs(r) ƒ'(x) = f'(7) =

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Q: k! (k+ 3)!

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