Without using Synthetic Division, divide : (9x3 - x + 2) ÷ (3x - 1)

Q: Differentiate the function. g'(t) = g(t) = In t(t² + 1)8 3 4t 1 -

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Q: 16² - 15 $+

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Q: 1 Evaluate: ſ¹_xeª dî 0 -∞ O None of these ∞

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Q: Differentiate y = 6 + sin x x + cos x

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Q: y = 7 cos(x), y = 7 − 7 cos(x), 0 ≤ x ≤ π

A: Given y=7cosx, y=7-7cosx, 0≤x≤π

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A: Given - First 100 natural or counting numbers,  I.e.   n=. 1,2,3,4,5.......100. Required- Sum of…

Q: Find the slope of the tangent line (10-x)y² = x³ at the given point (5, 5). Round your answer to two…

A: Derivate the given equation with respect to x

Q: Directions: Consider the following function f(x). Use the logarithmic laws to rewrite this function…

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Q: The Pear company sells pPhones. The cost to manufacture a pPhones is C'(x) - 2422 +54000x + 21038…

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Q: 7. f(x) = 0.2 sin²x - cos 2x, 0≤x≤ T

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Q: Find the volume V formed by rotating the region enclosed by the curves: y³ = 6y with y ≥ 0; about…

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Q: Sketch the level curve of the function h(x, y) 10+ 9 8 7 6 5 4 3- 2 + -10 9 8 7 6 5 4 3 2 1 + -2 3 4…

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Q: Find Vectors and Perform Vector Operations in R³ Vector 7=(2, 0, − 1) has initial point (-9, 7, 3).…

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Q: Find the maximum value M of f(x, y) = x³y³ for x ≥ 0, y ≥ 0 on the line x + y = 2. (Use symbolic…

A: Given that fx,y=x5y3  ,x≥0,y≥0 To find : Maximum value on the line x+y=2Solution :we know that…

Q: Let f(x)=x²-3x - 2380, x>0.75. Find the value of df-1 dx df-1 At x = 0, dx (Type an exact answer in…

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Q: Find a vector orthogonal to both (2,3,0) and to (0,3,4) of the form. 41,0, 07 for olmas

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A: NOTE: Refresh your page if you can't see any equations. . sbstitute x=0.2

Q: 4. Find the general solution to the DE 2x²y + xy'-3y=0.given that y₁=- is solution.

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Q: Consider the parabola given by the equation: f(x) = - 4x² - 6x + 7 Find the following for this…

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A: Yes, you are right there is some mistake in part e. so, I am rectifying it in next step. Sorry for…

Q: A hamster "runs in place" on a circular treadmill, causing the treadmill to rotate at constant…

A: Number of revolutions in 4 seconds = 1 Diameter = 4 inches

Q: Evaluate. dx [sec 5x] O 5. sec² 5x O 125 seca tan x O 5 sec 5x tan 5x

A: Given query is to find the derivative work f the expression.

Q: Late 73. Use Definition 6 to prove that lim —— 0.

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Q: Use Linear Approximation to estimate Aƒ = ƒ (7.05) — ƒ(7) for f(x) (Use decimal notation. Give your…

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Q: Find the derivative of y = (3x5 - 4x + 2)g(x)

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Q: Differentiate. f(x) X x+ C X

A: Topic -Derivative of a function We are given, f(x)=xx+cxwe know thatddxuv=vu'-uv'v2    [ u and v are…

Q: Using the graph given below, state the value of f(3). y 4 2 0 2 4 If the value does not exist, enter…

A: Given the graph of a function

Q: Solve the equation on the interval 0 ≤ 0 < 2. 6 cos ²0 = 3 What are the solutions in the interval 0…

A: Given  6cos2θ=3So, cosθ=12

Q: Find Cross Product Find the cross product u x 7 where u = 6i +8j +8k and 7 = 6i +8j +8k and 7 = (4,…

A: Topic = Vector

Q: Find r(t). u(t). r(t) = (7t − 8)i + t³j+ u(t) = t²i - 9j + t³k r(t) u(t): Is the result a…

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Q: 4. y" -10y +34y = -cos3x

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Q: 1. For the function f(x) = 4x³ + 3x² - 6x + 1, find the following: (a) The critical numbers of f (b)…

A: Given query is to find the critical numbers and the intervals where function is increasing and…

Q: 'there exists ad > 0¹ from the epsilon-delta definition of the limit? O there is a positive distance…

A: we will find the required.

Q: EVALUATE EACH 1) lim √x ².9 x 3 x-3 11m sin ³ x 3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P…

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Q: The volume of a box is 10x3 + 27x2 + 2x - 24 with the length 5x - 4 and the width 2x + 3. Find the…

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Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German…

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Q: Find the GS for y" - y = exe-x

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Q: A conical tank (with vertex down) is 14 feet across the top and 20 feet deep. If water is flowing…

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Q: Find the limit. lim sin(3x) X-0 2x

A: To find the following limit.limx→0 sin3x2x

Q: 5-8 The graph of a function f is shown. Does f satisfy the hypotheses of the Mean Value Theorem on…

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Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4321 per…

A: The given data is: A population of particular yeast develops with a constant growth rate of 0.4321…

Q: If a ball is thrown vertically upward with an initial velocity of 96 ft/s, then its height after t…

A: Given height :- s=96t-16t2

Q: Sketch the level curve of the function z(x, y) = x² + y² for c = 81.

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Q: Establish the identity. (6 cos 0-2 sin 0)² + (2 cos 0 + 6 sin 0)² = 40 Rewrite the left side by…

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Q: (A) A 20-ft. ladder is leaning against a wall but is left unattended and starts to slide down the…

A: Given data:- Length of ladder is 20 ft After 3 seconds the top of the ladder, y=12 ft A ladder is…

Q: 12. Find the area of the surface generated by rotating the curve y = √√x the y-axis. Do not…

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: Graph:-

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A: We have to find the following conditions from the given information

Q: If f(8)=4, f'(8)=-5, g(8)=-3, and g'(8)=1 and h(x)=6f(x)-2g(x) find h'(8)   a) -32 b) -114 c) 0…

A: h(x)=6f(x)-2g(x) h'(x)=6f'(x)-2g'(x)