Use the chain rule to find дz əs дz at || || Z = sin (8) r дz əs and дz at r = st, 0 = 54 + 14 8

Q: Find f'(x). f(x) = 5 AIG X +x/+

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Q: Find the arclength of the curve x = = 5t+3, y = 12t 7 with 1 ≤ t ≤7.

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Q: 2 3 X

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Q: The gas equation for one mole of oxygen relates its pressure, P (in atmospheres), its temperature, T…

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Q: Let a = 3/2 + 34. (a) Compute a³ and write it in the form pa+q where p and q are integers. Use this…

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Q: Find the derivative. f(x) = (x¹+x) -95

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Q: If z = 8x² + y² and (x, y) changes from (1, 1) to (0.95, 0.9), compare the values of Az and dz. dz R…

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Q: the region bounded by the given curves about

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Q: Find the point on the graph of z plane. P = 2=- -(3x² + 3y²) at which vector n = (-24, 12, 1) is…

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Q: Determine if the sequence {an} converges or an = 5+ (0.4) diverges. Find the limit if the sequence…

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Q: 21. If ƒ(x) = 3x² – x³, find ƒ' (1) and use it to find an equation of the tangent line to the curve…

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Q: Find the differential of the function f(x, y) = −9x² + 9xy – 2y² at the point (7,-8) using Ax = 0.2…

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Q: Example 1: Determine the average rate of change between the points (-6,-2) & (3,8).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 11002. Use the method of cylindrical shells to find the volume V generated by rotating the y = 6(x -…

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Q: 4. Find the locations (x, y) AND function values f(x, y) for all relative extrema and saddle points…

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Q: The number of antelope in a national park is modeled by the function dA A that satisfies the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 131+232+333+434+535+.... Francine correctly applies the ratio test to determine whether the series…

A: Given query is to find correct results of the ratio test.

Q: TIOTO 15 UTO IN ODIO DOON. HIMPRESORA vyootans boonsavdia unu Q1. A function can be visualized as a…

A: Given function is f(x) = 3x-1. It is defined for all x€R.

Q: 2. / x + 4x x + 4x +13 dx

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Q: The median weight of a boy whose age is between 0 and 36 months can be approximated by the function…

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Q: Evaluate the integral. *5 dx L² - (x² - 1)3/2

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Q: 2. Let g(x) be given by the graph below. Find the average rate of change in g on the intervals: (a)…

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Q: Using derivative rules (NOT definition of the derivative), prove that (secx)' = sec x tan x. Hint:…

A: We have to prove that secx'=secx·tanx, by using the derivative rule without using the definition of…

Q: 4. y = cos and y = 0.5, for 0 ≤0 ≤ T f(0) = cos 0 -2 0.5 0 -0.5- -1+ + 1 g(0) = 0.5 + 2 3 40

A: Given: Here, we need to find the area between the curves f(θ)=cos θ  and  g(θ)=0.5. Now,…

Q: The population of a city is tripling every 7 years. If its current population is 18,000, what will…

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Q: Find the following values for f(x) = sin X f(x) 0.1 0.01 0.001 0 πT . (Be sure your computing device…

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Q: 5. f Scot(x/3) sin²(x/3) -dx

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Q: Suppose f(x) = 13 - x² (a) Find the slope of the tangent line to the graph y = f(x)x= -1 when lim…

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Q: Use interval notation to write the intervals over which fis (a) increasing, (b) decreasing, and (c)…

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Q: 3. If f(x) = x² + 2x + 1, find f(x + h) where h is a variable.

A: fx=x2+2x+1

Q: Solve the equation. Make sure to check for extraneous solutions A) 8^m-7=92 B) 10 (5^3k-3)=40 C)…

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Q: Can you help anwer those questiond by looking at the picture below? 1. The function has no relative…

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Q: Using the definition, calculate the derivative of the function. Then find the values of the…

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Q: 6. y = x and x = y² 2+ 1.5- 1+ 0.5- 0 -0.5 y = x x = y² 0.5 1 1.5 2 X

A: Given query is to find the area under the curve

Q: The function h is given by h(x) = x5 + 3x - 2 and h(1) = 2. If h-1 is the inverse of h, what is the…

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Q: A tank with a maximum capacity of 200 L contains salt water and is initially half full. The 100 L of…

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Q: There are several ways to write Newton's Law of Heating and Cooling. If an object is at temperature…

A: We need to write down the correct option.

Q: K The function p(t) = 2000t 4t+75 gives the population p of deer in an area after t months. a) Find…

A: we need to find out the derivatives.

Q: Find T, N, and ê for the space curve, where t> 0. r(t) = (6 cos t+ 6t sin t)i + (6 sin t - 6t cos…

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Q: 4 5g fg 25 y.fig 14841551-800 = 8.162-8.02 0.142 = 0.1 2 decimal Sig. fig what does that mean? I got…

A: We will use concept of significant figure and rounding off.

Q: Solve the following variable separable equation 5ydx - c (y-4)dy = 0

A: Given query is to solve the differential equation.

Q: sider the line with the equation: 3y + 2x = 0 e the equation of the line parallel to Line 1 which…

A: Given query is to find equation of the line.

Q: Flores bought 5 pounds of chicken. He cooked 1 pound for dinner. What fraction did he cook? and what…

A: Given query is to find the fraction of chicken cooked and fraction left.

Q: Find a formula for the nth partial sum of the series 4- 3 th The formula for the nº partial sum, s…

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Q: more than one option is the answer.

A: fx=x2-x-20x-5,x≠510,x=5 Also, we have computed that, limx→5fx=9 Let's verify each option one by one.

Q: lim, 2+ f(x) = →2+ lim 2- f(x) =

A: Given query is to find indicated limit.

Q: dz Find au du and dv when u = when u = |u= In 2, v=¯ π v = ln 2, In 2, v = 2 =(Simplify your…

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Q: Estimate the limit numerically or state that the limit does not exist; 8 sin (3x) sin(2x) lim x-0

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Q: If y=6x + 4 5 X The value of find dy dx dy dx at x = 1. at x = 1 is (Simplify your answer.)

A: Given query is to find derivative at indicated point.

Q: K Given f(x) = 17x³ cos x, find f'(x). f'(x) =

A: The objective is to find the derivative of f(x).