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Q: Calculus Question

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Q: Simplify the given expression (5 x10-6) / (20 x 10-8) Express the answer in scientific notation.

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Q: Find the indefinite integral using the substitution x = 5 sec θ.

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Q: Identify the function's local and absolute extreme values, if any, saying where they occur. f(x) : 4...

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Q: Find the critical value(s) [which is the x-coordinate(s) of the critical point(s)] of f(x)= x3/5(4-x...

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Q: Find the first and second derivatives of the functions y = x3 + 7/x

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Q: can you help this question?

A: The requirement of the question is to find the local extrema and absolute extrema . Local maximum an...

Q: The total cost of producing 1 unit of a product is given by C(x,y)=30+10x2+20y-xy dollars Where x i...

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Q: In your own words and using appropriate figures, describe the methods of upper sums and lower sums i...

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Q: what Taylor series would you choose to representthe function near the given value of x? (There may b...

A: Given: f(x)=ln(x) and value of x=1.3 in this question find out first four nonzero terms of the seri...

Q: d dx? Explain your answer. If f is a continuous function, what is the value of dx

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Q: A vacationer on an island 8 miles offshore from a point that is 48 miles from town must travel to to...

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Q: Evaluate the double integral dy dx 4. 2.

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Q: 14 12 10 8 2- 1 2 Estimate the instantaneous rate of change at æ = 3 Your estimate needs to be withi...

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Q: The cost of producing x smart phones is C(x) = x2 + 600x + 5000. (a) Use C(x) to find the avera...

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Q: Find the smallest outputs of the function x^2+2y^2 on the slanted ellipse x^2+y^2+xy=3

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Q: find the derivative of y with respect to the givenindependent variable. y = 3 log8 (log2 t)

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Q: The number of gallons of water in a tank t minutes after the tank has started to drain is Q(t) = 200...

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Q: Solve inequality. Use interval notation to express solution sets and graph solution set on a numbe...

A: We first solve for |x+2| Note: If we divide by negative number then the inequality sign changes.

Q: Find the general solution of seperable differential equation dy/dx=x3y2

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Q: The Calculus Beverage Company (CBC) is designing a new energy drink called The Newton. Part of their...

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Q: y" + 6y' + 9y = 7+ e-4x

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Q: The graph of a function f is given. Estimate f"f(x) dx using five subintervals with (a) right endpoi...

A: Width of each subinterval is (10-0)/5= 2 So the partition is 0, 2, 4, 6, 8 , 10 f(0)=3 , f(2)=-1 , ...

Q: tan 3x lim sin 8x

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Q: ,determine the partial fraction decomposition of the given rational function. Q.x2+6/(x −2)(x2+16)

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Q: F(t) = arcsin(In(t)) · arctan(3t²) – arccos(/2).

A: Given data: The given expression of the the function is: F(t)=arcsin(ln(t)).arctan(3t2)-arccos(1/2...

Q: A storage unit has the shape of a hemisphere on top of a cylinder and a fixed volume V (Figure 10a)....

A: It is given that a storage unit has the shape of hemisphere on top of cylinder with dimensions of ra...

Q: Find the minimum and maximum values of the function subject to the given constraint. (If an answer d...

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Q: At what points is the function y = (9x-7)' continuous? 1/3 Describe the set of x-values where the fu...

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Q: When is the particle’s acceleration positive? Negative? Zero?

A: From the given figure:

Q: İt is just a question on study plan so it isn't effective for the grades of Calculus-2 so if you can...

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Q: Perform the indicated operations. Simplify the result.

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Q: Paddle wheel in a vector field Let F = ⟨z, 0, 0⟩ and let n be a unit vector aligned with the axis of...

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Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for succes...

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Q: solve the following definite integrals for b and c

A: b) Solve the indefinite integral.

Q: find the following indefinite integrals

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

Q: In 2007, 135 women received bachelor’s degrees for every 100 men. According to the U.S. Department o...

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Q: Find the areas of the surfaces generated by revolving the curves about the indicated axes. If you ha...

A: We need to find the surface area generated by the curve when it is revolved about the x-axis. First,...

Q: 4. Find the points on x² + y² + z² = 25, %3D where the temperature T(x, y, z) = x² + 4y² + 9z², is m...

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Q: y"-6y'+13y =0,y(2)= 4,y'(1) = 9

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Q: Solve equation. 2(x - 4) + 3(x + 5) = 2x - 2

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Q: A function is given. r(t) = 6 - t; t = 6, t = 12 %3D (a) Determine the net change between the given ...

A: Since you have asked multiple questions, we would be answering only the first question here. In case...

Q: What are the Ratio and Root Tests? Do they always give you the information you need to determine con...

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Q: Calculus Question

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Q: At what points is the function y = (9x-7) continuous? 1/3 Describe the set of x-values where the fun...

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Q: Find the particular solution of y ' = 4x3+3x2 if y(0)=4

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Q: Graph the sets of points whose polar coordinates satisfy the equationsand inequalities 0 ≤ θ ≤ π, r ...

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Q: Use the Chain Rule to calculate the partial derivatives. Express the answer in terms of the independ...

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Q: Assume h(x) and k(x) have continuous derivatives on [a, b] and derive the integration-by-parts formu...

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Q: \sum_{k=1}^{\infty} \frac{k(k+2)}{(k+3)^{2}}

A: We first function the limit of the given term as k approaches ∞