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Q: . (1’) Let f be the functionf(x) = x^2 +36/x^2(a) Calculate f'(x) and find all stationary points for...

A: Solution - Given function - f(x)=x2+36x2 a.) f'(x)=2x+36-2x-2+1 f'(x)=2x-72x =2x2...

Q: A coral reef is 2 miles due south of its closest point along a straight shoreline. A visitor is stay...

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Q: A company plans to enclose three parallel rectangular areas for sorting returned goods. The three ar...

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Q: Determine whether the relation is a function. Give the domain and range for the relation : {(-7, -7)...

A: Given:The given relation is -7,-7,-5,-5,-3,-3,0,0To find:Give the domain and range for th...

Q: Among all pairs of numbers whose difference is 14, find a pair whose product is as small as possible...

A: Let the numbers are x, y then Given as x-y=14

Q: Find the general solution of the differential equation y′ = 5x/y

A: Given the differential equation: y'=5xyRewrite asdydx=5xy

Q: cos e - 1 Evaluate lim

A: To Evaluate: limθ→0cosθ-1θ Concept: L-Hopital's Rule:If limx→afxgx=00 or ∞∞, thenlimx→afxgx=limx→af'...

Q: 2. Show that the sum of the first 2n terms of the series 1-글 + 1 1 + 3 1 1 두 + 는 -후 + - - 2 2 3 4 4 ...

A: Consider the given series. (1) First check that the series is converge or not. Let S is the sum of f...

Q: For the following exercises, analyze the graphs of f′, then list all intervals where f is increasing...

A: From the graph we can see that the curve meets the x-axis at x=-2, x=-1 & x=2. Therefore critica...

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) - 40,000 + 100x + ...

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Q: Let f (x) = -x°(x + 27)³.

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Q: Help with these

A: Given- The pair of linear equation, 0.2x-0.1y=0.30.2x+0.2y=0.4 To find- the value of the system of ...

Q: Need help on #3

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Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = sec-1 (x + yz)

A: Given that f(x, y, z)=sec-1(x+yz)

Q: Let sin t = a, cos t=b, and tant=c. Write the expression in terms of a, b, and c. 12 cos (-t)- cost ...

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Q: 14.3 2

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Q: The path of the earth around the sun is an ellipse with the sun at one focus. The ellipse has a majo...

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Q: Geometric sums Evaluate the geometric sums (0.2)* and k=0 E(0.2)*. k=2

A: Given: S1=∑k=090.2k, S2=∑k=290.2k we know that sum of geometric progression is given by S=a1-rn1-r w...

Q: Employers are increasingly turning to GPS (global positioning system) technology to keep track of th...

A: Given that t is the number of years after 2000. that means the year 2000 is t=0 and the year 2003 i...

Q: Let f(x) = x + 3 if x ≥ 5, 8 if x < 5. Find f(12) - f(-12).

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Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to ...

A: Given:The given function is f(x)=20x11ln5x (x>0)To find:the critical point c for the...

Q: Graph is function of f(x). Let G(x) be antiderivative for f(x).

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Q: What can you say about the relative position of two nonzero vectors if their dot product is zero?

A: Dot product of two non-zero vectors is zero. We know that two vectors are perpendicular if and only ...

Q: Suppose that z varies jointly with the cube of x and the square of y. Find the constant of proportio...

A: Solution- According to the question - z α x3y2z=kx3y2 ..............................................

Q: 41-56 - Cramer's Rule Use Cramer's Rule to solve the system. S2r - y = -9 41. (6x + 12y = 33 42. 4x ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Evaluate ∫18x2(x3+6)2dx.

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Q: Need help on #4

A: Solution :-

Q: Please help me with this with steps. I am very confused. Thank you!!

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Q: In Exercises 79–82, find a function that satisfies the given conditions and sketch its graph. (The a...

A: We are answering Question 79 in this session . If you want the solution of other 3 questions also t...

Q: Explain why or why not Determine whether the following statements are true and give an explanation o...

A: (a) Given- ddxe5=5e4 To find- Whether the given statement is correct or not and give a counter examp...

Q: I understand that this series diverges conditonally, but can someone please show me how? I'm a littl...

A: To Determine: Whether the given series converges conditionally, absolutely, or diverges. ∑k=1∞-1kk2+...

Q: Find all zeros of the polynomial function f(x) = (x - 2)2(x + 1)3.Then graph the function.

A: Given: fx=x-22x+13 for finding zeros of given polynomial, we equate it with zero

Q: A boat heads in the direction N 78° E. The speed of the boat relative to the water is 23 mi/h. The w...

A: Let us consider the following notations, velocity of boat=vb→ velocity of water =vw→ velocity of bo...