Integral using Evaluate the Integral of and odd functions even T1/2 Se _T1/2 Sin x Cos x dx соб the properties

Q: Identify the location and value of any relative maxima or minima of the function. Part: 0/2 Part 1…

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Q: Is the integral convergent or divergent and if convergent evaluate the integral.

A: Given :

Q: The function f has a continuous second derivative, and it satisfies f(1) = -4, f'(1) = 0 and f"(1) =…

A: The solution is shown below-

Q: Consider the graph of a function f on the interval [0,4]. y 10 8- 6+ 4 2 0 1 2 3 4 -X. Identify all…

A: 1) It is given that the graph of the function f on the interval 0,4. It is known that x=c is a…

Q: Suppose a product's revenue function is given by R(q)--7q² +500g, where R(q) is in dollars and q is…

A: Marginal revenue is the rate of change of the revenue function. Marginal revenue is denoted by…

Q: Consider the region between f(x) = x -2 and the x-axis on [2,5]. For each line of rotation given in…

A: The given data is: y=fx=x-2,  x∈2,5 Given:  Aim: To find the volume of the rotated solid obtained…

Q: Integrate the following using To xox $1+2x miscellaneas substitution:

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Q: The instructio says using Miscellaneous Substitution! Please edit your answer

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Q: 3 2 MA 5 Based on the graph above, estimate to one decimal place the average rate of change from z=1…

A: To find average rate?

Q: Evaluate the integral by interpreting it in terms of areas. L₁ (²+ 2 -10 100 - x² dx 2 X 2)

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Q: Question: True or False: To evaluate the integral 1 | /9-² we use substitution with x = 3 tan 0,…

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Q: - y² = 4 in the first quadrant.

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Q: f(x) = √2x + 4, then f'(x) f'(2) ||

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Q: Use the graph M of the derivative of f to locate the critical points zo at which has neither a local…

A: see below the answer and explanation

Q: F Find the dimensions of the rectangular box with largest volume if the total surface area is given…

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Q: An isotope of a radioactive element has decay constant equal to 0.06 per year. Initially, there are…

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Q: 2 [ (31² - 4t + 7) dt Find the answer of the given integration

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Q: Some airlines have restrictions on the size of items of luggage that passengers are allowed to take…

A: Let the length , width and height if the luggage is l , w and h.

Q: How many inflection points does  Which points are inflection points? (List the labels of the points…

A: To find inflection points of the given graph

Q: The graph of the derivative f' of a function f is shown. ہتا 2 y = f(x) X 6 (a) On what intervals is…

A: If a function f has a local maximum or local minimum at x= k  then f'(k)=0 A function f is…

Q: Can you minimize the work because how to work the problem is cut out of the screen. So if you could…

A: Given :- S=a+b2+4a+b-22+16a+b-42

Q: Let be a quadrant II angle with sin(0) = = Find sin 0 2 √89 10

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Q: da x²√4x-9 dt Ive²-√t dx X- - √√x

A: We can solve this integral using substitution. Let's make the substitution u = 4x - 9. Then du/dx =…

Q: Simplify the ratio of factorials. (9n + 1)! (9n + 3)!

A: Given: (9n+1)!(9n+3)!

Q: Problem 1 A large pizza of radius 15 in. is sliced into 8 delicious equal pieces (the normal way a…

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Q: 14. Evaluate the limit for the graph: lim f(x). x → 1 4 a. +∞o b. 1 T y4 4 2 20 +2 T 2 4 c. 3 d.…

A: see below the answer and explanation

Q: 10. Find the absolute maximum and the absolute minimum of f(x, y) = 2x² + y² + 2 over the disk D…

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Q: The graph f(t) is given in the figure. Represent f(t) using a combination of heaviside step…

A: see below the answer and explanation

Q: In the following figure, the cadius is 1cm, and the base is 8cm. a) Find the missing 0 b) Find the…

A: Given, Radius, r = 7cm                                 Base ( Chord length ), l= 8 cm

Q: (a) Differentiate the function below with respect to . 1 y (-72²+62+5)* Note: • In Text mode the…

A: Please see the below picture for detailed solution.

Q: If f(x) and g(x) are continuous functions and use the table below to evaluate c'(-1). x -2 -1 f(x)…

A: Consider the table

Q: -2y time does y increase to 100 or drop to 1? Round your answer to four decimal places.

A: we will find the required.

Q: 3. Use logarithmic differentiation to compute the derivative of the following function. -1/x² y = e…

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Q: Find all the first and second order partial derivatives of f(x, y) = −8 sin(2x + y) — 4 cos(x - y).…

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Q: Find the maximum rate of change of f(x, y) = ln(x² + y²) at the point (2, -4) and the direction in…

A: f(x,y)=lnx2+y2point is (2,-4)maximum rate of change=∇f(x0,y0)

Q: a. Find a power function that models the data below. b. Find a linear function that models the data.…

A: NOTE: Refresh your page if you can't see any equations. . the given table is  x 4 5 8 9 y 6.7…

Q: 9

A: Given: In order for a matrix B to be the inverse of A, both equations AB=I and BA=I must be true.

Q: -Calculate the minimum for the function f(x, y) = 2x² + 2x^² - xy

A: According to question,Given Function,fx,y = 2x4 + 2y4-xy

Q: 1. Find the point (s) at which the following parametric curve x = t², = t³ - 9t intersects itself.…

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Q: Let F = (x^3 − 2yz, tan^−1(y^2 + z), −z + 1). a) Find div F b) Determine if F is conservative

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A: g(u,v)=u2e-vpoint is (8,0)v=3i+4jDvg(u,v)=∇g(u,v).a→

Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the…

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Q: Find the volume under the graph of the function f(x, y) = 4x³y over the region shown in the figure…

A: Consider the function and the region  f(x,y)=4x2y

Q: Is it possible to answer this using factoring, conjugate or any alternative methods? If so, could…

A: To evaluate the following limit. limx→0 x+13-1x

Q: Let f(x, y) = 2x2-3y² -x+y+1, find the maximum and minimum values of f(x, y) over the triangle with…

A: The given function is:f(x,y)=2x2-3y2-x+y+1

Q: 2. a) Estimate the instantaneous rate of change of the function at the tangent point (7,9) indicated…

A: Given,

Q: 1. A car starts driving north 30 mile per hour from Station A. Two hours later, a truck starts…

A: A car starts driving north 30 miles per hour from station A.  Two hours later, a truck starts…

Q: f+lc 2. A conical oil tank with vertex down has a radius of 24 feet at the top and is 36 feet high.…

A: Given: The radius of the oil tank =24 feet.Height of the oil tank=18 feet3.

Q: If f(x) = cos x + sin x, what is f"" (x)? 46 f""(x) = sinx- cos x f"" (x) = sin x + cos x o f(x) =…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let 6 sin x + 3 cos y = 4. dy dx d²y dx² -0

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