4- x² x2 dx

Q: a) b) c) d) The graph of y = 4sin (x) x) has many tangents with a slope of 4. Another way of…

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Q: 2) Given the function f defined by f(x) = 7√⁹x²-1

A: The given function is

Q: 3.  How long would it take to double a $1500 principal if: a. interest is compounded quarterly at…

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Q: How does it take 10 years for 1/2 of the material to decay and 4.15 years for 3/4 of the material…

A: Given that a radioactive material decays at a rate which is proportional to the amount of…

Q: Directions: Find the instantaneous rate of change. Make sure to show all your steps. 1) 3x3, at x=2…

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Q: Evaluate the following one-sided limit. lim z+1 (z − 1)(z + 4) |z − 1| =Number

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Q: Find a quadratic function of the form y = ax² that passes through the point (-2,16).

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Q: A company's total cost, in millions of dollars, is given by C(t) = 80- 40e where t is the time in…

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Q: Which of the following expressions are identities and which are equations? (a) cos 2x = 2 sin a cos…

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Q: Values of x and g(x) are given in the table below. X 2.9 3.4 3.9 4.4 4.9 5.4 5.9 6.4 g(x) 3.6 4.6…

A: g'(x) =

Q: Evaluate the following limits. x lim x 5 x 5 lim x+5+x-5 I x lim x 5 x 5 P HOT

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Q: If f(x) = , find f'(4), using the definition of derivative. f'(4) is the limit as x→ 4 expression…

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Q: Write a polynomial function, in factored form, with real coefficient whose zeros and multiplicities…

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Q: 3. Find the bounded area between the curves. Draw the region. y=√1-4x² [y ≤√1+x² y-4x²-1

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Q: T a. r(t) = (cos 4t)i + (sin 4t)j + 4tk, 0sts- 2

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Q: - 43-46. Average and marginal profit Let C(x) represent the cost of producing x items and p(x) be…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Write the equation of the vertical line at which the graph is discontinuous. Then, write what y…

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Q: - from 3 4. (Light Bulb) An ornamental light bulb is designed by revolving the function f(x) = √z…

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Q: In 1980 the population of alligators in a particular region was estimated to be 1600. In 2007 the…

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Q: The current population of a certain bacteria is 5687 organisms. It is believed that bacteria's…

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Q: The graph of f is shown. State the signs of f! and f" on the interval (0, 2). f'--?--0 f✔ --?-- V II…

A: From the graph, we state the signs of f' and f'' on the interval (0,2).

Q: Find 7' (t), given r(t) = (cos(—2t), sin(−t), −2e¹¹). r' (t) =

A: we have to find the derivative.

Q: Evaluate the limit of the given indeterminate quotient. lim x→0 (√²+2-1). Number

A: given limit

Q: X Solve e = 13 for x.

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Q: V= 0 z = x + y 64 x² + y² = first octant dy dx

A: To find:-The volume of solid bounded by  , ,first octant The graph of region in 2D

Q: Convert the point (x, y, z) = (-1, 5, -3) to spherical coordinates. Give answers as positive values,…

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Q: 10) Given the functions f(x) = 4x² - 5 and g(x)= 15-3x, find (fog)(4). 4 (15-3X2-5 Inverse:…

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Q: Worksheet 1 7. Write an equation of the line: a. That passes through (-3, -5) and is parallel to the…

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Q: Determine whether the relation is a function. Give the domain and the range of the relation.…

A: Given that the relation is a function to find the domain and range

Q: 2. Find ƒ' (a) using f(x) = 3x² - 4x + 2. three-step rule if

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Q: Find u v, uu, ||u||2, (u v)v, and u. (2v). u = , V = (a) u. V 27 (b) 306 (c) 306 (d) (e) u u ||u||²…

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Q: if f'(x) = 5 - (8/x^2) , x≠0, find the value of f(4) given that 2f(1) = 4 + f(2)

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Q: If f(x) 8x²√x+ (Answer must be entered without negative exponents.) ƒ'(x) = - 6 = x² √x' then

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Q: -10 -3 -3 -4 Ay 10- 8- 2 то 4 -6- СЫ X $10

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Q: Analyze the function below. Which of the following is/are true? 8 f (x²) 18142²18 x+1 as x→-4+, f…

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Q: Evaluate the integral. 2 + 1 dx

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Q: Find the area of the shaded region. AY 2+ L -3 + + 2 3 square units y=x-2 34 y=√x ✈X

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Q: Analyze the function below. Which of the following is/are true? 8f()81818 x+2 as x→-1+, f (x) →∞ as…

A: Function is not defined where denominator is equal to 0.

Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

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Q: Find dy/dx by implicit differentiation. tan−1(4x2y) = x + 3xy2

A: Given data

Q: Recall the Inverse Substitution Rule, where f and g are differentiable functions and g is…

A: The given integral is 1/(x2-1)3/2, limit from 2 to 8.

Q: How. 2 Evaluate the following cartesian integrals changing them into equivalent Polar integrals:…

A: The given integral is:The aim of the problem is to evaluate the given cartesian integral by changing…

Q: f(t) = 4t2;    t = 5, t = 5 + h (a) Determine the net change between the given values of the…

A: The function is f(t)=4t2 (a) The aim is to find the net change at t=5 to t=5+h

Q: Given that you have a fixed 40-meter-long meters long and fencing, the rectangular pen should be…

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Q: A third-order homogeneous linear equation and three linearly independent solutions are given below.…

A: In this question, we will find the particular solution of the differential equation.

Q: Use for question #1-8 NJ -2 -3 5

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Q: Find the area of the shaded region. y = 0 2 square units y 2 -2 y=x√√4-x² y=0 2 X

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Q: If f(x) is optimal at x = x*, show that the maximum of first even derivative of f(x) [i.e. f"(x)] at…

A: In mathematical optimization, when a function  is optimal at , the second derivative at that point…

Q: 17. Two planes are parallel if their normals are

A: As per bartleby policy we are not supposed  to answer  more than one question per post.This post…

Q: Solve e²¹ = 2400 for t. (Round to three decimal places as needed.)

A: Consider the equation