11 6.25 12 12.5 X 13 25 X 14 37.5 X 15 50 X

Q: 1. Differentiate y = √e(72²-2) (a) by using the chain rule directly with functions f(x) = VI and…

A: Given, y=e7x2-23

Q: Consider the function ƒ(t) = −t² + 3t. Find the average rate of change of f over the interval [4, 4…

A: Here we have to find the average rate of change of function.

Q: express in form a + bi √-4 11

A: The given expression is -4 We have to solve the expression in the form a+bi

Q: FB 1.1 Make two properly labeled sketches, the graph of a) a function and b) a relation that is not…

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Q: If f(x) = x² + 2x + 1, find the following values (you do not need to simplify the expression): 1. f…

A: Given function, fx=x2+2x+1

Q: Question 28 Find the equation of the curve whose y" O y = 2 sin ¹(x). y = Question 29 y=sin-¹(x) -…

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Q: 2. Given the vector function (t) = (cos 2t, sin 2t, tan² 2t), find a) The unit tangent vector T (t)…

A: Given question :- We have to find unit tangent vector and equation of tangent line at the given…

Q: Use the extreme value theorem to find the absolute maximum and absolute minimum values of the…

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Q: The spread of a virus is modeled by V (t) = −t3 + t2 + 12t, where V (t) is the number of people (in…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: Evaluate cos³ x(sin x) dx O(sin x) 5/2 (sin x)5/2 + C O (sin 2) [-sin z] +C O (sin x) [-sin² x] + C…

A: We need to evaluate the following integral ∫cos3xsinx12dx

Q: Minimum value of x?

A: The given graph is:

Q: Determine the open intervals where the function graphed below is increasing and where the function…

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Q: 5. Find a parameterization for the intersection of a) the cylinder x² + y² = 9 and the plane z = 2…

A: Given a. The cylinder x2+y2=9 and the plane z=2 b. The paraboloid z=x2+y2 and the plane z=4y

Q: Find the equation of the line tangent to the graph of f(x) = -3x² + 4x +3 at x = 2. Provide your…

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Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

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Q: $1+79 atbi form

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Q: 9. Consider r(t) = (2 cos (t), 2 sin (t), -t). Find the unit tangent, unit normal vectors, T (t), Ñ…

A: We want to find unit tangent vector, unit normal vector and the curvature.

Q: 1 An initial deposit of $1200 earns 10% interest, compounded monthly. How much will be in the…

A: If initial deposit= $p, rate of interest=r%, time of deposit=t, interest is compounded n times a…

Q: 70-5 10 Problem 8: Find f'(x) - 9 f(x) = x 5+1 X ³-1

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Q: Describe how the graph of the function is a transformation of the graph of the original function f.…

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Q: Using the Inverse of a Matrix In Exercises 19-26, use an inverse matrix to solve each system of…

A: Given 3x1+2x2=1 x1+4x2=-3

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

A: Fluid force=∫abρh(y)d(y)dywhere ρ is the density of liquid            h(y)  horizontal length of the…

Q: Consider the function f(x), for which f(0) = 3 and f'(0) = 1. Find h'(0) for the function h(x) =…

A: We have given function f(x) f0=3 f'0=1 Function h(x) is given as hx=1fx Put , u=1 v=fx hx=uv…

Q: x² = 6x +16 2 rewrite in factored form The solution B The set is {}

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Q: see the question as attached here

A: We have to show sum of series is 1 and if given series is geometric or not.

Q: (3x²y³ + 3 sinx+4y) dx + (3x³y² + 4x) dy = 0

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Q: If f(x) is continuous in the interval [-1, 2], f(-1) > 0, and f(2) > 0, can we use the Intermediate…

A: Intermediate value theorem states that if f is continuous on [a,b] and f(a)<0 and f(b)>0 then…

Q: 1.) Let U=(n. o.p.qrstuvlA=inpesi diagram to display these sets. Then answer each of the questions.…

A: Here we have to make venn diagram.

Q: √(√x − 2 csc xcotx + 1) dx is equal to 3 2x 2 3 3 2x 2 3 3 2235734 2x 3 3 2x 2 3 + 2 csc x + ln x +…

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Q: i. f 2x(x²+1) ⁹⁹dx

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Q: We want to compute the following limit a) As t approaches 0, this gives an indeterminate form of the…

A: Topic- Simplification we are given,limt→02t3-9+5twe need to simplify by using rationalization so…

Q: Verify if the primitive y = c₁sin (x) + C₂X defines the corresponding differential equation dy X +y…

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Q: Find the exact solution for e2x 5e 660. If there is no solution, enter NA. Enclose arguments of…

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Q: f(x) = 1 2x-3

A: See this solution in below.

Q: Given f(x) = -2x² 18x - 36 x+6 Select the correct answer below: which of the following statements…

A: The given function is fx=-2x2-18x-36x+6 We have to check continuous at x=1

Q: Suppose that f(x) = 3x² - 4x + 4 and Find the following: 1. (fog) (6) = Number 2. (fog)(0) = Number…

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Q: Find the domain and range of the function graphed below. -4 -3 -2 -1 Domain: Range: 4 3 2 2 -1 -4 -5…

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Q: y = (x+35)² +5 Ⓡ a) Solve for vertex. Does it open upwords. or downwords

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Q: Problem 3: Sketch the graph of a function that satisfies the following conditions: a. lim b. limo-…

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Q: Use the equation f ′(a) = lim x→a  f(x) − f(a) x − ato find f ′(a) at the given number a. f(x) =  x2…

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Q: .If f(x) = sec(x) tan(x), then f'(3π):

A: Given data, fx=secxtanx

Q: Find the average rate of change of the given function between the following pairs of x-values.…

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Q: A certain number of people P(t) in a community were exposed to an advertisement by a certain…

A: Given that the maximum number of people who will see the advertisement is 50,000 and 500 people were…

Q: If f(x) = 4x² − 4x + 2, find f'( − 3). Use this to find the equation of the tangent line to the…

A: We have to find out the tangent line

Q: Consider the function f(x) = { -x+ 5k − 5, x ≥ 1 k²x, x < 1 Find the value(s) of the constant k for…

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Q: Find the domain and range of the function graphed below. Domain: 3 -5 -4 -3 2-1 Range: 2 1 123 -2 -3…

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Q: Given the graph of y = f(x) shown below, what is the graph of y = f(-x)?

A: Given Graph

Q: If g'(0) = 7 and f(x) = 2g(x) - 4ex - x² + 3x, what is f'(0) [A] 13 [B] 11 [C] 14 [E] 17-4e [D] 17-e

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Q: In order to evaluate could let Ox=2 sec 0 Ou=√x² - 4 2 O x 2 tan ·[ 20²2 √x² - 4 dx, we Ou= x² - 4…

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Q: Precision Approach Path Indicator (PAPI) lights are used as a visual approach slope aid for pilots…

A: Concept: Trigonometric ratios: tanθ=perpendicularbasesinθ=perpendicularhypoteneuscosθ=basehypoteneus…