What is the limit of 3x4 as x approaches ? 1 2 12 evaluated 2 3 16 0 1 16

Q: lim cos x x-0 , which among the following should result, in equivalent form, before L'Hopital's Rule…

A: To evaluate: limx→0 cosxx Let y= limx→0 cosxx ⇒y= limx→0 cosx1x

Q: d- dx3 ax d² y dx² +6- 15 dy dx Q.2-Solve the differential equation 100y = 0

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Q: Use the Integral Test to determine whether the series is convergent or divergent. nhe-n n = 1…

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Q: Given: f(x, y) = ln[1 + x siny] Find: 8² f(x,y) 8x² 2 sin y (1+xsin y)² ○ _ __ sin² y (1+zsin y)²…

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Q: 49-7 Estimate lim *-7 -7 is approaching to using a table of functional values.

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Q: Question 5 What is the limx→ [(ln(2x - 4)) - (ln(x+3))]? If your answer is a Whole Number Fraction…

A: limx-infinity [ln(2x-4)-ln(x+3)].

Q: (a) Find the average rate of change of f(x) from x = 1 to x = 2. 7 (b) Using the definition of the…

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Q: (8) IF: A=1+j+ k, B = i +2j- 3k Find A-B, A.B 2A.3B, A B, (A+B) (A-B) .

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Q: If we try to apply Rolle's Thorem to the function f(x) = 2x² – 20x – 5 on the interval [0, 14],…

A: Here, the given function is: f(x)=2x2-20x-5 and the interval given is [0,14].

Q: What is the limo+ (√In(x))? For answers that are fractions infinity ti infinitu write... in decimal…

A: We are asked to find the limit of the function.

Q: lim[1-sin x] 19. 0 3 lim(1 + sin x) 20. x→0

A: 19) limx-0[1-sinx]1/x 20) limx-0[1+sinx]3/x.

Q: Find and sketch the domain of the function. f(x, y) - In(4x2 - 4y²) y

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Q: 1. Do both parts a) and b). a) Set up but do not evaluate an integral to find the arc length of the…

A: Solve the following

Q: 3 f(x) = x³ + 2 right left [-1,1] n = 2 9=1 & middle hand rule b =

A: find out the left, right and mid riemann sum.

Q: For a battery of voltage V and internal resistance r, the total power delivered to a load with…

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Q: 1. S (x¹+3x²+1) dx 2. f(x³ + x² + x−¹)dx p³ +p²+p+1 dp 3. p3 √ 2² (√z + √z-1) dz 8x³+27 -dx 2x+3 5.…

A: The objective of the question is evaluate the anti-derivative.

Q: The revenue in dollars for a product is given by the function R(x) = 36x -0.01x² where x is the…

A: To find average rate of change in revenue as x varies.

Q: = 2. If y = sin³ (-) cos³ (1) prove that y' = sin² (x) cos(x)

A: Topic = Derivative

Q: 9(x) f(a) -10-9-8-7-6-5-4-3-2 The graphs of f(x)-- Ox-Intercept O Vertical asymptote O Range O End…

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Q: 4. Find the volume generated by revolving the area cut off from the parabola y = 4x - x² by the x…

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Q: (y³ - 3x²y + x³ - 4x) dx + (3xy2 - x³ + 8y³ +y + 5) dy = 0 I. f(x, y) = M(x, y) dx + g(y) II. Find…

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Q: 4. Find the area of the region enclosed by x = 2y+3 and x = y².

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Q: Create a question (using the Triangluar pyramid) related to vectors and then solve it. Don't make…

A: First we will frame a question and then solve it.

Q: (1) IF: a 21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find a.b, a.c, č.ā (a+b).(a-b),(ã+c).(ā-) (ã+2b-3c). (ā-…

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Q: For the following exercises, draw a typical slice and find the volume using the slicing method for…

A: Follow the procedure given below.

Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling…

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Q: (b) The graph of y-g(x) is shown. Draw the graph of y-g(2x). X

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Q: Find the area between the y-axis and the graph X = 543-2-1 1 2 3 4 5 (y - 3) dy = 6.500 (y - 3) dy =…

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Q: Determine whether the series is convergent or divergent by expressing s as a telescoping sum. If it…

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Q: (9) Find all prime numbers p for which both equations X²-2 0 mod p and have solutions. X²-3 0 mod p

A: Concept: The quadratic congruence: x2≡a(mod p) , where gcd(a,p)=1 Has a solution if (ap)=1 That is a…

Q: The slope of tangent lines to a curve y=f(x) is given by f'(x)=1/√√x +4x^3-1. If the point (1,6) is…

A: Equation of curve

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. y1/2 dy + y3/2 = 1, y(0) = 9…

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Q: A particle moves back and forth along a straight line. Its position (in meters), relative to the…

A: Find out the total distance travelled during the first 10 seconds.

Q: (x + 1) dy = −y + 20 dx O separable exact linear in x linear in y O homogeneous Bernoulli in x…

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Q: Differentiate the following functions. You do not need to simplify, but you must show all your work.…

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Q: We learn how to derive the MRS from a utility function, U(x, y), using total differentiation. Write…

A: answer is in next step. please give a like !!

Q: Question 2 Evaluate: Express your answer in three decimal places. limx→8 e-2 a-8

A: The objective is to evaluate the limit.

Q: € G x² y" + (y²)² = ں

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Q: On which of the following intervals is the function f(x) = x3 differentiable? (0, +∞0) 0 (-00, +∞0)…

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Q: Question 1 Consider the function below. f(x) = ex/x (a) Find the intervals on which f is increasing…

A: Explained below

Q: What is the lim+∞0x².e-²? For answers write... that are in decimal form and round off fractions to…

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Q: x + 2 lim x2x²-4

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Q: Evaluate the following integrals. y = f(x) a. b. C. d. 16 0 f(x) dx [f(x) dx Ja (2|f(x) +3f(x) dx…

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Q: √√√x if x1

A: Explanation of the answer is as follows

Q: dy If x³+y³ = 1, what is -? dx² D OC O 22(23 ys 2x(2 − y) y³ 2x y5

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Q: (X^1/2 + 6) (X^3/2 -32)

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Q: Q4: A-Evaluate: fx exdx, using Gamma function applications. B-Find the Laplace transform of: f(t)=…

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Q: Given w = y² arctan(xyz) + 2x ln(xz). Determine dw მყა dro = y² + 2 arctan(xyz) + 2x ln(xz) dy du…

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Q: Find the angle ? between the vectors. (Give your answer correct to 3 decimal places.) u = 7i − 9j +…

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) +6 - уб lim (x, y)→ (0,0) x3…

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