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Q: Verify the identity : cos (x - π/4) = √2(cos x + sin x)/2.

A: We use cos(A-B)=cosAcosB+sinAsinB formula

Q: graph the function using appropriate methods fromthe graphing procedures, identifyingthe coordinates...

A: Now we need to find critical point Critical points are where the function is defined and its deriva...

Q: Vertical tangent lines If a function ƒ is continuous at a andlimx-a 0 ƒ′(x) 0 = ∞, then the curve y ...

A: Consider the given function: Here the objective is to verify that f(x) has a vertical tangent line ...

Q: Please help. Thank you.

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Q: What is the Radioactive decay?

A: Radioactive decay is the process in which an unstable atomic nucleus goes into the breakdown of seve...

Q: If the first term and nth term of a series are -3 and 10+2an-1 Then find second third and fourth te...

A:

Q: Fill in the blank to make the statement true [5 + √(....)] [(5 - √(...)] = 22

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Q: Find the absolute value of the radian measure of the angle that the second hand of a clock moves thr...

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Q: Find each limit f(x, y) = 1/(x + y)

A: Here, Thus, (a) By substituting these values

Q: Convert the angle in radians to degrees: -5ᴫ /3 radians

A: We will use π radian = 180 degrees .

Q: Please explain every step

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Q: Evaluate the integral.

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Q: Find the magnitude lvl , to the nearest hundredth, and the direction angle θ, to the nearest tenth o...

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Q: Proving delta-epsilon limits

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Q: Find the areas of the shaded regions

A: The area of the shaded region of the left is:

Q: graph the integrands and use known area formulas to evaluate the integrals.

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Q: Find the critical points of the following function on the given interval. Identify the absolute maxi...

A: The given function is, ƒ(x) = x3 ln x The interval of the function is (0, ∞) The critical point of ...

Q: Use everyday language to describe the graph of a rational function f such that as x→ - ∞, f(x) → 3.

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Q: How do I figure out where the discontinuity can be removed in this equation: F (u)= u-4/u1/2-2 when ...

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Q: need solution

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Q: Evaluate the following integrals.

A: Consider the given indefinite integral: Here the objective is to evaluate the value of given indefi...

Q: 25 to what power gives 5?

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Q: Let R be the region bounded by the follow ing curves. Find the volume of the solid generated when R ...

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Q: Find the domain of the vector-valued function

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Q: Make a substitution to express the integrand as arational function and then evaluate the integral.

A: Consider the integration as

Q: Use reference angles to find the exact value of the expression sin(-225°). Do not use a calculator.

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Q: If two vectors are expressed in terms of i and j, explain how to find their difference.

A: How to find the difference of two vectors if expressed in terms of i and j

Q: solution 1

A: Given vectors: Concept used:

Q: Suppose f(x) = x^3 . Using the definition of derivative, compute both f'(x) and f''(x). (Hint: You m...

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Q: Write a possible equation for the function whose graph is shown (as attached herewith). The graph sh...

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Q: Find the product and write the result in standard form: (3 + 5i)(3 - 5i)

A: Given:

Q: Explain how to subtract polynomials ?

A:

Q: s = 100t − 16t2 How do you use limits and algebra to find the instantaneous velocity of the projecti...

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Q: Evaluate and simplify y′. y = 5t2 sin t

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Q: sin 2x dx. sin a

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Q: Find the complex fifth roots of -1 + i. Write roots in rectangular form. If necessary, round to the ...

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Q: Twins? Is there any difference between the vector space spanned by the set {cos t, sin t ) and the v...

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Q: x' - 2x +1 lim x' -1

A: The numerator expression can be separated into two expressions as, The denominator expression can...

Q: Suppose that r(x) = 9x and c(x) = x3 - 6x2 + 15x are the revenue and the cost functions, given in mi...

A: Consider the given revenue function R and cost function C: Here the objective is to find the produc...

Q: Find the average value of the function graphed in the accompany- ing figure. 1 2

A: The function of the above graph can be represented as: Thus, the function is x when the value is in...

Q: The rate of heat lost through insulation varies inversely as the thickness of the insulation. The ra...

A: Let, The rate of heat= H The thickness of insulation= T Given that H varies inversely with T So, G...

Q: What is the Nonremovable discontinuity?

A: Non removable discontinuity is a type of discontinuity which cannot be removed.

Q: Please help. Thank you.

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Q: Let P = (1, -3) be a point on the terminal side of θ. Find each of the six trigonometric functions o...

A: Given: P = (1, -3) be a point on the terminal side of θ, represented as:

Q: Simplify : see the attached

A: LCD of the denominators = (x+5)(x-3)

Q: On this question I plugged in f(0) = cos(0) - (0)^3 = 1. Likewise, I did the same with f(1) in my ca...

A: a)

Q: Write the expression 2tan π/12 /(1 - tan2 π/12) as the sine, cosine, or tangent of a double angle. T...

A: We use the double angle identity for tan

Q: Give the slope and y-intercept of the line whose equation is given. Then graph the linear function :...

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Q: Find a positive angle less than 360° or 2π that is coterminal with a -17π/6 angle ?

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Q: The demand function for a commodity is p=13.25/1+0.01x, x is greater than or equal to 0. Where p is ...

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Transcribed Image Text

1+f(x) g(y) g(3) = C .compute f(1) When the general solution is rewritten, it results to