Using trigonometric substitution to evaluate:, find w :S √1-7w² dw,

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A: Since you have posted multiple questions i can do first question as per our company guidelines

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Q: -cosh(2x² + 1). Evaluate (A) 4xsinh(2x² + 1) B 2xsinh(2x²+1) C) xsinh(2x2 +1) с D (2x2 + 1)sinh(2x +…

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Q: QUESTION 11 Solve the following system of equations and fill in the values below: x + 5y + 2z = 8 2x…

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Q: Consider the following function. f(x) = x¹/9+8 (a) Find the critical numbers of f. (Enter your…

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A: We will put Revenue=0 to find the value of x

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Q: Let f(x) = x² - 1 on [-2, 3], Part A: What is the slope of the secant line connecting the function…

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Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

A: The given geometric series :35+925+27125+...The geometric series can be written as:an=3535n-1 where…

Q: Find the absolute extrema of the function on the closed interval. f(x) = x3 − 12x,    [0, 6]…

A: To find the absolute extrema of the given function on the interval [0,6].

Q: Find the range for the function x²+y²=4

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Q: Condense the expression to the logarithm of a single quantity. (Assume all variables are positive.)…

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A: TOPIC -derivative using limits and equation of tangent line

Q: 1. Let Evaluate the following limit. 7 (t) = (t² + 5, t²-5t+6 t²-9 lim r(t). t-3 > sin(πt)).

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Q: Fully condense the following logarithmic expression into a single logarithm. 4 ln (2) + 3 In (3) - 4…

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Q: Write the given (total) area as an integral. * The area above the x-axis and below y = 4 - x^2 *…

A: 1)  consider y=4-x2  and y=0    Solve the above two equations   4-x2=0   4-x2=0   x2=4   x=±2Area…

Q: c) The equation of a curve is y = √5x+4 i. Calculate the gradient of the curve at the point where x…

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Q: Let an 7n 8n + 15 For the following answer blanks, decide whether the given sequence or series is…

A: Here, an=7n8n+15

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A: Given problem:- Suppose that 3 ≤ f'(x)  ≤5 for all values of x. What are the minimum and maximum…

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Q: 2 6 5 seco SSS p² sin p dp do de 000

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Find P(33 < X < 47) if X is normally distributed with mean 37 and standard deviation 10. For all

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Q: Express the limit as a definite integral on the given interval. * n Χρισ lim Σ -ΔΧ, [1, 8] 0-00…

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Q: 1- Evaluate the following limits, if they exist. If they do not exist, state why.! lim f(x), where…

A: Given the query is to find the limit of the expression.

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Q: 2 Let f(x) = ₂²5 on [-3, 1]. x+5 Find all numbers c in [-3, 1] for which the derivative is equal to…

A: We need to find values of c.

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Q: As you will show, exponential growth functions ekx always dominate power functions x", and power…

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Q: a = 6, c = 9, B = 128°

A: answer is in next step

Q: Use algebraic and/or graphical methods to solve the inequality. 91 - 13x > 13 X

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Q: Introduction to Derivatives ections: Read the paragraph. On a separate sheet of paper, answer the…

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Q: Find the coordinates of the point displayed on the graph. ✓ Previous ZA

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Q: HIY I+y+1 1. Let f(x, y) (a) f(2,1) (b) f(1,2) (c) f(a, a) (d) f(y + 1,y) Find:

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Q: Solve the equation. 3) 49x874x

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Q: Sav Find the work done by F=xy³i+ 4x²y2j in moving a particle once counterclockwise around the curve…

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A: From the graph,(a) Inflection point is at which function changes it s concavityInflection point =…

Q: Given the solution:  y = C1e-2x + C2e2x + x2  Which differential equation is it a solution of?

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Q: S dx x - 4 x2+2x-15

A: Let's find.

Q: Find the horizontal and vertical asymptotes of the curve. 6x²+x- - 9 у x² + x - 56 X = (smaller…

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Q: 10) The marginal profit from producing x widgets is given by P'(x) = 72,600e-0.12x. Suppose it were…

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Q: Rewrite the logarithm as a ratio of common logarithms and natural logarithms. logg(98) (a) common…

A: Given query is to find the value of the expression.