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Q: 100 The derivative of the function 1 is equal to ecos z

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Q: The absolute minimum of f(x) = x² + 3x – 1 is %3D Select one: a. b. - C. -00 d. - 13 4

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Q: 17. Finding functions from partial derivatives Suppose that f and g are functions of x and y such th...

A: Hence, f doesn't contain any term with x and g doesn't contain any term with y Hence, f is a functio...

Q: Calculus Question

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Q: a.Find √16 . √4. b.Find √16 . 4. c.Based on your answers to parts (a) and (b), what can you conclude...

A: a.

Q: and denominator by the highest power of x in the denominator to find the limit at infinity.

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Q: If f(x) < f(c) for all æ < c, then f(c) Isa relative maximum . Select one: a. True b. False

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Q: If we have to integrate a function, what is the first thing come into our mind?

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Q: If y = #(x – 1)7 then y' at æ = 2 Is equal to Select one: а. —5 b. 5 c. d.

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Q: dy let y = cos(In(cos(x))), then is dx

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Q: Bikers A and B are traveling on perpendicular roads. At the same time, biker A is leaving the inters...

A: Let the distance between the bikers at any time be D. Let the distance of the biker A from the inter...

Q: Given lim f(x)=L, Im fx)=L, and L, =L, 1. lim f(x)=L, II. lim f(x)=L, III. lim f(x) does not exist

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Q: 22/3 Is (are) The critical number(s) of f(x) Select one: а. 1,0 b. –2, 1,0 с. - 2,0 d. 2, 1

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Q: Calculus Question

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Q: Determine the limit at infinity.

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Q: Evaluate the limits. f(x)={8x+7x2−8x≤1x>1f(x)={8x+7x≤1x2−8x>1 Enter DNE if the limit does not ...

A: Given function is Firstly, we will find left hand limit and right hand limit at x=1. For left hand ...

Q: If x=t5-10t2 , when will the acceleration be zero?

A: To find the acceleration we need to find the second derivative of the position function x=t5-10t2 ...

Q: the tangent line to the graph of y=lnx\x is perpendicular to the line x=7 at the point where?

A: The line x = 7 is perpendicular to x axis. Hence, it's slope is infinity. The tangent line that is p...

Q: Find all the solutions of the equation 3 1 + 2! = 0 + + 4! 6! + 8! Hint: Consider the cases x > 0 an...

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Q: Given the graph of the function f(x) below, use a midpoint approximation with 4 rectangles to approx...

A: Width of each interval = (6-2)/4= 4/4= 1 So the partition is 2 , 3, 4, 5, 6 So the midpoints are 2.5...

Q: 6.4/6.5. 12

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Q: 9) A rectangular swimming pool has a base that is 10m by 20m. Water is being pumped into the pool at...

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Q: Consider the following differential equation y/ + = sin(x) What is the general solution

A: Consider the given differential equation

Q: Let y= 3 cos x-5 cot x+ csc x tan x, then the slope of the tangent line at x = is 4

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Q: 16x2 +x-3 (x-9)(**1) Et

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Q: Calculus Question

A: Since you have asked multiple questions in a single request, we will be answering only the 1st quest...

Q: The volume of a cylinder is 900 cubic cm. Find the dimensions in cm that will minimize the surface a...

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Q: 8) A right circular cylinder must have a volume of 100 m3. Find the dimensions that should be used t...

A: Let, radius= r height = h

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A: We find f'(x) using the power rule. then we find f(0) and f'(0)

Q: A 5-kg mass is attached to a spring whose stiffness constant is 80 N/m. The damping is negligible. T...

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Q: What is the correct option ?No need for steps

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Q: 5. Write down the name of the conics 4x - 9y² +16x + 54y – 29 = 0. Determine the center, foci and th...

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Q: Q1: Ms. Maryam Al Rawabi had a sum of money and she decided this money to distribute among Abdul, Ib...

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Q: sec? e de. 1- tan e Evaluate the improper integral:

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Q: dy is let y = ln(V – 9 + a). -9+x then dx S'

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Q: What is Derivatives of function?

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Q: Graph the functions

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Q: evaluate using long division first to write f (x) as the sum of a polynomial and a proper rational f...

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Q: 44. The discriminant fufy – fw² is zero at the origin for each of the following functions, so the Se...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Give the formula of even function?

A: To give the formula of the even function.

Q: If q(x) 3x² find lim q(x). 7e ||

A: Given function is

Q: What is the correct option ?No need for steps

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Q: Perform the indicated computations. Write the answer in scientific notation. Round the decimal facto...

A: A number in its scientific Notation is written as some integer(less than 10) multiplied by 10 to the...

Q: Q.4 (a) Solve the Differential equation: (x + 1) – y = e*(x + 1)² dx (b) Solve the differential equa...

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Q: Calculus Question

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Q: During COVID-19 Global lock down, there is short supply of cycles in the market in the month of Apr...

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Q: 6.5/6.6. 1

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Q: A straight trail with an inclination of 17° leads from a hotel at an elevation of 9000 feet to a mou...

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Q: If sinh r 5then tanh a is Select one: a. 15. b. C.

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Q: A space probe in the shape of the ellipsoid 4x2 + y2 + 4z2 = 16 enters Earth’s atmosphere and its su...

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Transcribed Image Text

A cylinder expands with time. The height of the cylinder increases at a rate of 1 in/h and the radius increases at a ate of 1 in/h. How fast is its volume increasing when the height is 6 in and the radius is 2 in? (V = Tr²h).