Use the special product formulas to perform the indicated operation. (x-4)(x + 4) Need Help? Watch It

Q: Set up a double integral in polar coordinates to find the volume of the solid bounded above by…

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Q: For the function f(x)=simplify the difference quotient: b) [(x+h)-700 What is the slope of the…

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Q: Question 10 What is the 14th derivative of 2 sin(x)? O 2 cos(x) O-2 sin(x) O2 sin(x) O-2 cos(x)

A: Y= 2sin (x)

Q: The figure shows a telephone wire hanging between two poles at x = -20 and x = 20. The wire hangs in…

A: The figure is shown as,The equation for the wire shape is given as,The length of the wire between…

Q: The function f(x) = −2x³ – 19.08x² +70.179x - 3.59 is increasing on the open interval ( ). It is…

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Q: Solve the following differential equations using Exact method ху (2+ye Jdx + (x-2y) dy =0

A: we need to find out the solution of the exact differential equation.

Q: Find the directional derivative of f(x, y) = sin(x + 2y) at the point (5, 5) in the direction = 3/4…

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Q: Consider the following equation. cos (y) = 27 Use implicit differentiation to determine an…

A: Given equation, We know,

Q: (0) dx (logax) = (q). (sin-¹x) = dx (p) & (a*) = (r) dx (tan-¹ x) =

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Q: 7. The arch of an underpass is a semi-ellipse10 meters wide and 4 meters high. Find the clearance at…

A: We solve the given problem by using the concept of the ellipse.

Q: Let g(x)=9x² - 9. (a) Find the average rate of change from 5 to 6. (b) Find an equation of the…

A: we need to find out the average rate of change and also the equation of the secant line.

Q: 1. Let f be the function defined by f(x) = ln(2+ sin x) for ≤x≤2. a) Find the absolute maximum and…

A: The given function  for .The aim is to find the absolute extreme values and the inflection points.

Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 15 m/s, its height…

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Q: Which of the following planes are parallel? P1: 15x-6y +24z = 17 P2: -5x + 2y - 8z = 6 P3: 6x - 4y…

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Q: A particle moves with position function s = t4 - 4t³ - 8t² + 15t, t≥ 0 (a) At what time does the…

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Q: 2. (a) Find the slope of the tangent line to the curve f(x) = 2x³ - 3x at x = -1 using a definition…

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

Q: Given: x=t², y=t-8, -4≤t≤4 a) Sketch the curve by using the parametric equations to plot points.…

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Q: 3. A student is completing a homework problem practicing the method of integration by parts.…

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Q: Find the point where the tangent line to y = 5x² at x = 0.7 crosses the x-axis. x-intercept =

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Q: If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate (in…

A: Area (A) decreases at a rateDiameter, D=8 cm

Q: The velocity of a particle moving along a line is a function of time given by 79 t² + 12t + 27 v(t)…

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Q: ind  dy/dx  by implicit differentiation. x4(x + y) = y2(5x − y)

A: The given equation is

Q: Suppose that Σ an = -3 and n=] ∞ A. Σ(-6an + −8bn) n=1 = B. (-6an +-8bn) n=2 = ∞ n=1 bn = -5 and a1…

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Q: 4. Find a formula for the nth derivative f(n)(x) of f(x) = ln(1+3x). Show some work computing the…

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Q: Let G=7f-g, where the graphs of f and g are shown in the figure to the right. Find the following…

A: G=7f-g

Q: The arc length function for a curvey = f(x), where f is an increasing function, is s(x) = √√5t+10…

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Q: 10. A 12m ladder is propped up against a wall. If the bottom of the ladder slides away from the wall…

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Q: An ant who is crawling on the ground has its position at time t (in seconds) given by t y(t) = 2+…

A: Given that an ant who is crawling on the ground has its position on time t is given by

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Find the equation of the tangent at the given point: y=x²³ −2x² +4 at (2,4

A: x3+4

Q: Find the absolute maximum and minimum values of f on the set D where f(x, y) = x² + 4y² − 2x − 8y +…

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Q: 2. For each expression f(x, y) below, D denotes the (natural/largest possible) do- main…

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Q: Vector w has initial point (2, -1, 3) and terminal point (-4, 75). Which of the following vectors is…

A: Vector  has initial point  and terminal point . To find the vector which is parallel to .

Q: 4. Find the following limits. If the limit does not exist, write DNE and explain why. If the limit…

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Q: Find the derivative of the function. Simplify if possible. y = arccos (e7x) 11

A: Given,

Q: Write the system equations corresponding to the augmented matrix. Then perform the row operations…

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Q: Let f be a differentiable function. We are given the following values of ƒ and x |ƒ(x)|ƒ'(x) 4 16 36…

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Q: Find the length of the spiral r=0², 0≤0≤√21. The length of the spiral is (Simplify your

A: Consider the curve

Q: Find f. f"(x) = -2 + 36x - 12x2, f(0) = 2, f'(0) = 18

A: Given, .Given,  f(0)=2, f'(0)=18.We know,

Q: Given an acceleration vector, initial velocity (uovo,wo), and initial position (xo.YoZo), find the…

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Q: th Compute the first four partial sums S₁, ..., S4 for the series having n follows. an = (−1)¹6 S₁…

A: By finding the first four terms, we can then find the first four partial

Q: Use the FOIL method to find the indicated product. (9x - 72) (3x - 7z)

A: By using the FOIL method to find the following product.

Q: Write a polynomial f(x) that satisfies the given conditions. 1 Polynomial of lowest degree with…

A: We are given the two roots of apolynomial and their multiplicities and also the value of the…

Q: Find the angle of intersection between the curves: y² = 4x and 2x²=12-5y at (1,2) to three…

A: Angle between the two curves is given by

Q: Use the properties of logarithms to expand the following logarithmic expression as much as possible.…

A: Consider the expression

Q: Q8 Find the set of intervals for the following functions (a) f (x) > 0 (b) f(x) = 0 (a) f(x) < 0 (b)…

A: we are given graphs of wo functions and we are to find on what intervals are those functions…

Q: Find fx, fy & fz. f(x,y,z)= e(yz+sinx)

A: given function

Q: (m) (ex)= = (0) dx dx (logax) = (n) (lnx): dx = (p) & (a*) = dx

A:

Q: The position vector of a particle is r(t). Find the requested vector. The acceleration at t=2 for…

A: given

Q: (Multiple Choice Question) If sec a = -3 = tan ß and a, ß € [T, 2π], then sin(a + 3) is equal to:…

A: Given that and