g(x) = x 24 353 3x find and simplify g(x)-g (a) X+5 Given that g(x)= x-a

Q: Given f(x, y) = sin(x + y) where x = : s¹tº, y = 4s – 6t. Find f(x(s, t), y(s, t)) = ft(x(s, t),…

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Q: Convert the following equation to Cartesian coordiantes and describe the curve…

A: Convert the following equation to Cartesian coordiantes and describe the curve…

Q: The number x of MP3 music players that a store will sell and their price p (in dollars) are related…

A: At we find the value of x at P=100. Then we differentiate and putting the values we find dx/dp at…

Q: ²4 cos 20; (0, ± ; (0, 4)

A: We have to find the value of the slope of the tangent of the above polar equation.

Q: Given vectors u = −33i + 6j and v = −19i + 5j, find vector u — v. -

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Q: 3. 4. What is the angle in degrees? A. 30° B. 45° What is the complement of 45°? A. 45° B. 55° C.…

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Q: An oil-producing country can sell 7 million barrels of oil a day at a price of $90 per barrel. If…

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Q: (a) Use a graphing utility to graph f(x) = x - 4x + 2 on the interval [-2,2] and approximate any…

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Q: Evaluate (2xy³ − y² cosx) dx + (1 – 2ysinx + 3x²y² )dy y² from (0,0) to (ñ/2, 1) along the parabola…

A: According to question,Given Integral,∫c2xy3-y2 cos x dx + 1-2y sin x + 3x2y2 dy

Q: Inverse laplace 8/(3s^2+12)+3/(s^2+49)

A: The given Laplace transform is Fs=83s2+12+3s2+49. We have to find the inverse Laplace transform.

Q: Find the area between the curve f(x) = x² +15 and the x-axis from x = 2 to x = 6.

A: To find the area bounded by the given curve

Q: Convert from a Rectangular to a Polar Equation: f(x) → r. (x-3)² + y² = 9

A: We are required to convert the rectangular equation (x-3)2+y2=9  to polar equation

Q: (a) Use differentiation to find a power series representation for f(x) = f(x) = n = 0 What is the…

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Q: Find the area of the region bounded by: = 6 cos (60) 0 ≤ 0 ≤ 2π r =

A: To find the area of the region bounded by given polar curve

Q: If f(x) = x² - 2x +3 when x > 1, and f(x) = x when x ≤ 1, then f(2) + f(0) = 1 Do 3 -1 2

A: Given query is to find the value of the function.

Q: 7. Suppose you want to use 1020 feet of fencing to enclose a rectangular plot of land. The fencing…

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Q: 1. Express in the form y = f(x) by eliminating the parameter. x = e-³t; y = e6t

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Q: Find a . b. |a| = 9, |b| = 8, the angle between a and b is 30°.

A: Given, |a| = 9, |b| = 8 The angle between a and b is 30° We have to find a•b

Q: At what interval is y=3x5 – 5x³ decreasing? C O −11

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Q: Solve the initial value problem. dy 27) dx = x(6+x²)²₁ y(0) = 0

A: Given query is to solve the differential equation.

Q: Question 22 Find the average value of f(x) = 8x - 4 from 1 to 5. The average value of f(x) = 8x -…

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Q: use partial fraction decomposition to compute ∫ 1/((x-1)(x^2+1))

A: Given integral ∫1( x - 1 )( x2 + 1 )dx

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) = 1 and f'(0) = 3,…

A: Given: f(0)=1, f’(0)=3 and g(x) is the inverse of f(x) To find: g’(1)

Q: 2 (b) ₁² ( + 6x) dx X

A: ∫xndx=xn+1n+1+c∫14(2x+6x)dx=2∫141xdx+6∫14xdx

Q: Find the derivative. 10) y = 8x-2-9x3 + 2x

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Q: solution

A: Please refer to the image below

Q: Find the center, foci, vertices and asymptotes of the hyperbola. (y-3)^2/ 25 - (x+1)^2 =1

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Q: For the following exponential situation, create a model in the form y=a⋅bt.  t  y  2 15 4 75 a =…

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Q: Find the average value of the function f(x, y) over the plane region R. (Give your answer correct to…

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Q: Find the equation on the ellipse that has its center at the origin and satisfies the conditions:…

A: We have to find the equation on the ellipse that has its center at the origin and satisfies the…

Q: Find the area of the region of r= √2 + sin(theta) and r= 3sin(theta)

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Q: the An electron in a TV tube is beamed horizontally at a speed of 5.7 x 106 meters per second toward…

A: We can find how far the electron drop .

Q: Find the slope of the tangent line to polar curve 2 (²/1, 7). 6 = - 2 sin at the point

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Q: A curve is given parametrically by=et 2e-t, y = e2t. The tangent t the curve at t = ln 2 is...? a)…

A: Given x = et - 2e-ty = e2tat t = ln2

Q: A 20 ft ladder leans against a wall. The bottom of the ladder is 5 ft from the wall at time t = 0…

A: NOTE: Refresh your page if you can't see any equations. .

Q: termine the area of the region bounded by y = ea = X X x² + 2 and y = 0 on the interval [-3,5].

A: Given query is to find the area of the region.

Q: Find the area of the shaded region. r² = sin(20) L

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Q: True or False: Consider y = (x − 1)(1 − x). 1 If I use logarithmic differentiation to find y, the…

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Q: 4. A line segment L passing through the point (1, 1) has its endpoints lying on the x-axis and…

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Q: Find the parameteric equation for the line segment starting at P(-2,3) and ending at Q(-3,2)

A: Given that:- The line segment starting at P(-2,3) and ending at Q(-3,2)

Q: Find the Taylor polynomials of degree n approximating cos(2x) for a near 0: For n = 2, P₂(x) = For n…

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Q: 14 Approximate [ (x² - 4) dx using 4 rectangles. 2 It is approximatley (If necessary, round to two…

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Q: Find the value or values of c that satisfy the equation the function and interval. 18) f(x) = x² +…

A: Given function:- fx=x2+2x+4

Q: (6407 #2 p. 327) Let R denote the region bounded by the parabola y = r² - 3x and the line -4. Setup,…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: (a. f(a)) is a relative extrema of a function f. When xa, f'(a)>0. (a,f(a)) is O maximum point…

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Q: 7 5 ·TT²² Find x + y dydx.

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Q: Match the general solutions to the differential equations. - ✓ (D²+2D+5)y=0 - (D²-6D+10)y=0…

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Q: 6. Convert from Rectangular to Polar Coordinates: (x,y) → (r,0). (-3,-4)

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