Z+6n d. For the angle 0 = radian find the followings if Z is the last digit in your ID: 24 i. The type of angle is.. ii. Complementary angle for 0=...

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Q: Find the number whose sum with its reciprocal is a minimum.

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Q: Given the function y=x5+2x3+3x. Find the derivative of the inverse function at x=1.

A: Here, f(x) = y=x5+2x3+3x and a = f(x)|x = 1 = 1 + 2 + 3 = 6

Q: f the limit does not exist, enter “DNE”.)Limit =?

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Q: What is the length L of the interval on which the function f(x)=x3−6x2−15x+8 is decreasing?

A: Given

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Q: evaluate the integral using the methods covered in the text so far.

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Q: evaluate the integral.

A: Given: Or, Now,  

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Q: Find the local (relative) extrema of the functionf(x)=−x2+4x−3.

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Q: Find the points of inflection of the function f(x)=xe−2x.

A: Inflection point is the point where concavity of f(x) changes. At this point double derivative of f(...

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Q: 88. Directional derivatives and partial derivatives Assuming that the necessary derivatives of f(x, ...

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Q: Sin52x ×cos 42x=

A: Consider the equation   

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Q: Use a computer algebra system to find the exactvolume of the solid.

A: To Determine: Use a computer algebra system to find the exact volume of the solid.

Q: Explain Diagonal matrices?

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Q: Let f(x)=x2+8x+14. Find all values of c in the interval (−6,−2) such that f′(c)=0.

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Q: verify that the given differential equation is exact; then solve it. 2x 41. y (*-)•(*-) Зу2 x4 2у х2...

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Q: Find all the critical numbers for the function g(x) = ¼ x4 - x3 - 5x2

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Q: Which x satisfies both Ix - 31 < 2 and Ix - 51 < 1?

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Q: Find the most general antiderivative of the function.(Check your answer by differentiation.)   f ( t...

A: Here the given function The antiderivative of this function is

Q: Describe the set of real numbers satisfying Ix - 31 = Ix - 21 + 1 as a half-infinite interval.

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Q: Find general solutions of the differential equation    x^2y'+2xy=5y^4

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Q: Discuss  continuity of f at the values of x where f is not differentiable. Discuss by using the theo...

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Q: Find the points on the surface ( y + z)^2 + (z - x)^2 = 16 where the normal line is parallel to the ...

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Q: Please see attached. Thank you

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Q: ,u(x) -f(x) - I(x) 1.5- 2 3 4 In the figure, is f(x) squeezed by u(x) and 1(x) |? 1. at x = 3? |? 2....

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Q: Given the function y=x2cos3x. Find the third-order derivative.

A: To Determine: Third derivative of given function:                            

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Q: Given the function f(x)=3x2. Use linear approximation at a=2 to estimate the value of f(1.99).

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Q: I need help solving this problem:

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Q: 18. Suppose that V ·F, = V • F, and V × F, = V × F, over a re- gion D enclosed by the oriented surfa...

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Q: indicate a good method for evaluating the integral (but do not evaluate). Your choices are: substitu...

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Q: Show that the curve r(t) = (ln t)i + (t ln t)j + t k is tangent to the surface xz2 - yz + cos xy = 1...

A: r(t) = (ln t)i + (t ln t)j + t k Hence, r(t) <ln(t), t ln(t), t> Differentiate w.r.t t to get

Q: Question 6

A: Consider the function   

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.