Question 7 < > Consider the Quadratic function f(x) = 9x² 4. Its vertex is ( Its largest z-intercept is z = Its y-intercept is y = ).

Q: d d [ri(t) r₂(t)] and[r₁(t) × r₂(t)] first by differentiatin dt Calculate the product directly and…

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Q: Choose ALL of the following intervals on which the following function is continuous. 2-4 f(x) = 2²²6…

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Q: Question 10 Terry is skiing down a steep hill. Terry's elevation, E(t), in feet after t seconds is…

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Q: 11. Given: √√√-x² + 4x +5 dx. Using trigonometric substitution, what is the integral form in terms…

A: The given integral is: I=∫-x2+4x+5dx That can be written as:…

Q: af du (a) f(x, y) = sin-¹ (b) f(x, y): = x+y (c) f(x, y) = In ( t = 1 and u = 2 af and where Ət 2.…

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Q: Find T(t) and N(t) at the given point. X = = et cost, y = et sint, z=et; t = 0 T(0) = N(0) || =

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Q: What can you say about the series Σan in each of the following cases using the Ratio Test? Answer…

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Q: 000 000 000 000 OSE

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Q: Find the inverse of f(x) f-¹(z) = . ✓ 3z + 1 -3x+4

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Q: QUESTION 15

A: answer is in next step

Q: Calculate the derivative. f(x) = 6-9x1/3 +9e* (Use symbolic notation and fractions where needed.) d…

A: A detailed solution is given below

Q: Let A = -[-32-3] and B = (a) Find AB, A-1, and B-1. AB= 5-3 2-1 A-1 B-1 = (b) Show that (AB)-1 =…

A: a)AB=2-2-235-32-1AB=2(5)-2(2)2(-3)+2-2(5)+3(2)-2(-3)-3AB=10-4-6+2-10+66-3AB=[6-4-43]A-1=1AAdj(A)A-1=…

Q: A clothing business finds there is a linear relationship between the number of shirts, n, it can…

A: Topic:- linear function

Q: 2b. Explain the difference between a partial derivative and a directional derivative.

A: Dear learner, as per our guidelines we can provide the solution for one part only. Kindly post other…

Q: raduation from college, Warren Roberge was able to defer payment on his $22,000 student loan for 6…

A: Topic:- algebra

Q: Using partial fraction in evaluating A 6-2x B 2x-6 © - ²7/ 1/1/2(2x + 1) = 7/7/2 Ⓒ - 1/2…

A: Solution of given question is written in below steps.

Q: A plane flies at a speed 560 km/hr at a constant height of 11 km. How rapidly is the angle of…

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Q: Using trigonometric substitution, what is A 1 6 sec-¹ (37) + √x²-9 2x² +C Ⓒ 3 sec ¹1( 3 ) + √x²³ - 9…

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Q: Find the area of region bounded by the graphs of the equations. 1. y = 5x² + 2, x = 0, x = 2, y = 0

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Q: √√√x²-9 Consider x³ what is the integral form in terms of? 1 A Scos²e de B Scos²e de Ⓒ-S sin²e de C)…

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Q: 3x^2+y^2=28 3(x-1)^2+y^2=19

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Q: y = 1 V25-x2

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Q: Given f(x)=√x-5;x#5 and g(x)=x+3. Find the domain of (gof)(x)?

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Q: Check if proper fraction. 2. Check if the denominator is reducible or not. 3. Perform cancellation…

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Q: Use one of the formulas in the table above to integrate dx x8 + 16 (By the way, you're going to need…

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Q: Given the price-supply function p = S(x) = 10(e0.02x - 1), find the average price (in dollars) over…

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Q: Determine the number and type of solutions for the equation 4x² +52-5-0 O One repeated…

A: I have appended the formula used in the solution part.

Q: Find the integral: x+2/x-1 dx choices: a) x+ ln(x-1)3+C b) x+ ln(x-1)2+C c) x+ ln(x-1)4+C d) x+…

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Q: Use the ratio test to determine whether Σ n=10 converges or diverges. n(-3)n n!

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Q: 2z+8 (z+7)4 dz

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Q: Question 10 Complete the description of the piecewise function graphed below. Enter the domains as…

A: To find for which intervals does the given values of f(x) are obtained.

Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 4 1 lim t+oo 5t² + 6'8t = (?, ?)

A: Solved below.

Q: Find the area of the region bounded by the graphs of the equations. y = 2+√√x, x = 0, x = 8, y = 0

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² +4 1 = lim t→+∞0 (?, ?) 4t² +5't

A: limt→∞t2+44t2+5, 1t

Q: c. The region R enclosed by the curves y = x and y = x² is rotated about the line y = 2. Find the…

A: Using disc method, volume of solid is evaluated.

Q: Q1: Find partial derivatives of the function with respect with each variable 1) f(x, y) = 2x² − 3y-4…

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Q: 1 3 Ssin²0 de

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Q: A certain industry's ad spending between 2005  (t = 1)  and 2011  (t = 7)  is projected to be S(t) =…

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Q: 12 If [" f(x) dx = 19 and ' [₁ f(x) dx [R²F(x) f(x) dx = 4, find the following.

A: We can answer the question as below using the properties of definite integral.

Q: 3. Evaluate lim x →∞ ९+2 -( if necessary, using L'Hôpital's rule) 1-x³

A: In this question we have to find limit.

Q: (a) Find the inverse function of f(x) = 2x - 3. f-¹(x) = (b) The graphs of f and f are symmetric…

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Q: 3. Calculate the inverse of the following functions: a. f(x) = 6+x 7 3 b. f(x) = 2-x

A: To find the inverse of a function : Write y = f (x) Replace every  x with y and replace every y…

Q: 1. Evaluate 2 0 X √1+ 2x² -dx

A: Answer is in step 2.

Q: Find the average value of the function over the given interval and all values of x in the interval…

A: Let's find.

Q: C. y = 5x² + 2, x=0, x=2, y = 0

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Q: dx 5. Evaluate the following tanº(x) cos4(x) tan'(x) [7tan²(x) +9] + C 36 tan(x) + =tan(x) + C…

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Q: Q1: Find partial derivatives of the function with respect with each variable 1) f(x, y) = 2x²-3y-4…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Differentiate the function. 10u + 100 G(u)=1n₁ 10u - 100

A: We can differentiate the function as below.

Q: y=√√√5-√x

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Q: List the absolute maximum and absolute minimum of f(x) = x³ 12x on the interval -3, 1]. Give the…

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