Let f(z) = (-6z— 4) (9z — 1)

Q: 1. Consider the differential equation y' 4t Y ; y(0) = yo c) Solve the differential equation and…

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Q: Evaluate the integral. (Use C for the constant of integration.) √x² - 9 [√x +3³ dx

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Q: Given that f(x) = x¹²h(x), h(−1) = 5, and h'(−1) = 8, calculate ƒ'(−1). f'(-1) = Hint: Use the…

A: Given, given, h(-1)=5, h'(-1)=8

Q: (Section 1.9) Select all equilibria of the DTDS with updating function *t+1 A. x* = 1 B. x* = 1 a C.…

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Q: 1. Consider the function f(x) = x +1. a) Given € = 1, find 8 >0 so that if -6 < x-1 < 8, then - <…

A: In this question, we will find the delta value.

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

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Q: Find dy/dx at the given point for the equation. x = y3 – 5y2 + 2, (-2,1)

A: Given, given point is (-2,1)formula of derivatives are '

Q: Find the equation of the tangent line 7(x) to the graph of the given function at the indicated…

A: We are asked to find the tangent line of the equation

Q: Write the integral which gives the surface area generated when y = ¹ on 1 ≤ x ≤ 3 is revolved about…

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Q: (e) L 1 x (lnx) 3 dx

A: As per our guidelines we are supposed to answer only one question kindly rest can be reposted .

Q: For the position function s(t)= - 16t² + 102t, complete the table shown below with the appropriate…

A: The position function is given asWe know that , The average velocity formula over the interval [a,b]…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Use logarithmic differentiation to find dy/dx. y = (x + 1)(x-3) x>3 Step 1 The given function y is…

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Q: You plan to take a 1260-mile trip in your car, which averages 24 miles per gallon. How many gallons…

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Q: Set up an integral to find the arc length of the curve y = x

A: Given, y=, formula for arc lenth is

Q: Kitty starts riding her tricycle 3 ft from her front door; her distances s from her front door 6. t…

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Q: Let C be the curve y = 2√x for 2.9 ≤ x ≤ 4.4. Ņ 7 3 Find the surface area of revolution about the…

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Q: f(x) = x² - 2x + 7, Need Help? Read It + 9 + h) — f(9) h f(9 "T h = 0

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Q: t-1 t→∞ t² + 1 (e) lim

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Q: Find dy dx dy dx for the given function. y = 3 - cot(x) 3 + cot(x)

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Q: Graph the curves r=5+3 cos 0 and r= 5-3 sin 0.

A: The given functions are:

Q: Calculate dy/dx. you need not to expand your answer: y = x^2+8x-1 / x^2+5-1

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Q: Find the slope of the line tangent to the polar curve at the given point. (-5,75) 2'6 r = 5 sin 0;…

A: Slope of the line tangent to the polar curve is given by-

Q: An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds…

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Q: Find the area of the region under the graph of the function f on the interval [1, 4]. f(x) = = 9 √x…

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Q: 2. Given the graph of the function f shown below, determine which of the following statements is…

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Q: b) The cross-section of the pelvic fin of this fish is modelled by the curve y=-2¹ +162³-24z²…

A: given cross section of the pelvic fin is

Q: 2. This question concerns the graph of the function x² (2x²-8) x(2x - 5)√4x²+3 y = f(x) = = (a) What…

A: The given functions  is

Q: . Let f(x) = 5x² - 10x - 17. (a) Use limit method to find f'(x). Show all of your work. (b) Find an…

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Q: . Find the x-values in [0,2π) where y = 3 cos x sinx has a horizontal tangent

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Q: Find the function y=y(x), y>2, which solves the initial value problem 4x2+(dy/dx)=2x^2y y(0)=7

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Q: 7 2 x² +7 (a) (fog)(4) (b) (gof)(2) (c) (fof) (1) (d) (gog)(0) Given f(x)= |x and g(x)= find the…

A: Given ,  to find the following expressions:Note: Since the student has posted many sub-parts of the…

Q: Differentiate. f(0) = (0 cos(0)) sin(0)

A: Differentiation of a product:

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 81x² +…

A: Graph of Equation is81x^2+49y^2+1134x-882y+3969=0Now we have to calculate vertical or horizontal…

Q: A solid is obtained by rotating the shaded region about the specified line. about the line x = -2 y…

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Q: 10+ 10 5 This curve has equation y = x² + 2x - 3. (Remember this is a non-calculator question!)…

A: The shaded region represents the area covered by the curve with the x-axis in the given interval.The…

Q: A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed…

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Q: Find the area A of the shape bounded by the x-axis, the function y = ln(3x + 7) and the line: x = 3,…

A: In this question, we will find the area of the shaded region.

Q: Find the length of the spiral r = 30², 0≤0≤√√32. The length of the spiral is (Type an exact answer,…

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Q: 1+4+7++ (3n-2): = n(3n-1) 2

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Q: A tank, shaped like a cone has height 11 meters and base radius 3 meters long. It is placed so that…

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Q: A sum of scalar multiples of two vectors (such as au + bv, where a and b are scalars) is called a…

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Q: Sarah and Ryu are local ecologists studying the population of Australian Longfin Eels in the pond in…

A: As per our guidelines we are allowed to answer only three subparts of the given problem. Kindly…

Q: 3. Check your understanding - Compute the following derivatives using the basic differentiation…

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Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral (a)…

A: The graph g consists of two straight lines and a semicircle.

Q: Set X = x 0 1 Y where x, y are unkonwns. Solve the equation X² = 10

A: given and

Q: 5. Consider the region R bounded by x = 12(y²y³) in the first quadrant. Use the method of…

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Q: Evaluate the following limit by simplifying the expression (first answer box) and then evaluating…

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Q: Find the slope of the tangent line to the graph of the function at the given point. y = ln x4 y 6 K…

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Q: A projectile is fired with an initial speed of 550 m/sec at an angle of elevation of 60°. Answer…

A: We have the following dataTo determine: (c). How high overhead will the projectile be when it is 5km…