Given the following function: - 6x – 1 - 6x +7 if x 2 8 if x < 8 f(x) = Step 1 of 2: Find f(9).

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: Use derivative and critical point for finding the absolute maxima .

Q: SEATWORK Solve two problems; one from each number. Submit clear and upright photos of your…

A: In the question it is asked to solve one from each question. We will solve the part a of each…

Q: Consider the the curve y =(6x + 5)V6x + 5 from x =5 to x 11 a) Find the initial and terminal points:…

A: Consider the curve y=6x+56x+5 from x=5 to x=11.a To find the initial and terminal points.b To find…

Q: Hazel is 24 and wants to retire at age 62. She deposits $1,100 at the end of every 6 months into a…

A: We have to find how much money does she have in the fund when she retires, size of the monthly…

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) r cos(s) u du = ds J

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

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Q: 10

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Q: Q-5: [5 marks] Find the points at which f(x) = (x – 2)*(x + 1)³ has relative extrema.

A: Solving extreme

Q: Find the vertical and horizontal asymptotes, if any, of the rational function R(x) = 6x2 + x +…

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Q: Find the number of 3-permutations of a set with seven elements. a. 130 b. 120 c. 210 d. 100

A: Let's find.

Q: If f(n + 1) = f (n) + 5 and f (1) = 100, what is f(4)?

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Q: Find recursive definitions and closed formulas for the arithmetic sequences below. Assume the first…

A: Given,2,5,8,11,14Here a0=2d=a1-a0d=5-2d=3we know that ,an=a0+(n-1)dan=2+(n-1)3an=2+3n-3an=3n-1

Q: 4. Given the function f(x) = x² - 6x + 9, show by IVT that there is/are c on [-3,3] such that f(c) =…

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Q: _1. There is no function f(x) such that S f(x) = f (x) + C.

A: To determine whether the given statement is True or False.There is no function fx such that ∫fx…

Q: Find the derivative of the following function using the formula. f(x + h) – f(x) lim h-0 h f(x) =…

A: I am attaching image so that you understand each and every step.

Q: pts Evalaute the integral y sin(z) dz dy dz. Enter an exact answer using fractions and radicals as…

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Q: SEATWORK Solve two problems; one from each number. Submit clear and upright photos of your…

A: 1.a) A1,-2,3; B-3,1,2b) A-3,1,2; B1,-2,3c) A2,-1,-5; B3,1,-2 Note:    Multiple questions with sub…

Q: Find the direction in which the function is increasing most rapidly at the point P0. f(x, y, z) = xy…

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Q: Identify the open interval on which the function is increasing or decreasing. (Enter your answers…

A: topic - application of derivatives

Q: Calculus III is A. Multi-operational Calculus O B. Momentum Calculus O C. Multi-dimensional Calculus…

A: The course included parametric equation,polar coordinates, vectors ,sequences, Taylor expansion, and…

Q: The rate of proliferation (that is, reproduction) for the cells in a tumor varies depending on the…

A: Here,             We have given  the rate of proliferation for the cells in a tumor varies depending…

Q: Solve the problem. Determine the dimensions of the rectangle of largest area that can be inscribed…

A: From the figure:Let 2x be the length of the rectangle;Hence,using Pythagoras theorem;width2+2x22…

Q: The area of a triangle ABC is calculated using the formula zbc sin A S= and it is known that b, c…

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Q: Use the given graph of f to find the following. (Enter your answers using interval notation.) -2- 2…

A: Let's find.

Q: 30 20 10 -10 - 6 4 -2 8 10 -10 -20 30 16

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Q: A conical vessel has a height of 24 cm. and a base diameter of 12 cm. It holds water to a depth of…

A: To find out the volume of water.

Q: 4. Convert the vector (2. 3, 4) into the i and i form. Then find its magnitude of the vector.

A: Vector form of a point (a,b,c) is given by v→=ai+bj+ck and magnitude of this vector is given by,…

Q: + 4n V1 + n?

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Q: company produces a spherical object of radius 23 centimeters. A hole of radius 5 centimeters if…

A: We

Q: Determine if B is the inverse matrix of A. 1 01 - 2 1 1 A = 2 1 3 В - - 5 2 - 1 -1 1 1 3 - 1 1 Is B…

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Q: (a) Show that the reproduction rate goes to zero when the sugar level is low; that is lim r(C)= 0.…

A: r(C)=1.35CC+0.27×10-4Substitute C=0r(0)=1.35(0)0+0.27×10-4r(0)=0

Q: Write the function in the form f(x) = (x – k)q(x) + r for the given value of k. f(x) = x3 – 4x? – 8x…

A: Divide the polynomial by x+2 and simplify it.

Q: I. Represent the following equations in R? by a vector-valued/parametric equations: 1. y = mx + b 2.…

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Q: Use the Comparison Test to determine whether the series is convergent or divergent. L n4/5 n- 2 1…

A: P-Test: The series ∑n=1∞1np converges iff p&gt;1 and diverges iff p≤1 Comparison Test: Let ∑n=1∞un ,…

Q: 5/3 1x² /100 – x² – y² + 10 75 - Let J= z dz dy dx - 5/3 13 (x? +y?) (i) Express the integral J in…

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Q: Simplify {x²[x-³y(x²-¹)-1}

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Q: 8x Find the power series for f(x) = in the form an. (1- x*)? n=1 Hint: First, find the power series…

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Q: Use the limit laws to evaluate the limit. x+14 lim X→-14 196-X Select the correct choice below and,…

A: Let,L=limx→-14x+14196-x2L=limx→-14x+14142-x2L=limx→-14x+14(14+x)(14-x)L=limx→-141(14-x)L=114-(-14)L=…

Q: nitial ter t und?

A: The distance s from the ground is given by;s(t)=96+80t-16t2When, ball touches the…

Q: Question 5 Find the derivative: y = (3x 2x) Va5 2x + 2 - - dy 27-14x5-30x2+36x-8 2Va5-2x+2 (3x-2)…

A: The given function is  y=(3x2-2x) sqrt(x5-2x+2).

Q: Katie invested an amount of $18,000.00 in a mutual fund. After 4 years and 6 months the accumulated…

A: Use the formula for the compound interest and calculate the rate.

Q: Find the exact length of the curve. x = 8 + 9t?, y = 3 + 6t, 0 sts4

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Q: The side of a regular pentagon is 25 cm. If the radius of its inscribed circle is 15 cm, find the…

A: Let's find.

Q: Find real numbers a and b such that the equation is true. a + bi 3D 19 — 6і a = %3D

A: We can find the value of 'a' and 'b' as below

Q: a) Find the area of the region enclosed by the curves y = 12 – x² and y = x2 - 6. Answer: A =

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Q: Find the slopes of the curve y = y - x at the two points The slope of the curve y" = y -x at the…

A: topic - slope of a function

Q: On a sketch of y= e*, represent the left Riemann sum with n = 2 approximating ff e dx. Write out the…

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Q: What is the spherical excess of a spherical triangle whose angles are all right angles

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Q: A = 13 ;Prove A2 - 5A = 21

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Q: For the function p graphed in the accompanying figure, find lim p(x). y = 6(x) 4

A: As x tend to minus infinity, y approach to zero.