1. Find the limit. t² 4 8 lim t-2 +3

Q: cot3x Lim x-o cotx 0

A: Let's find limit of given function.

Q: 3x+ +4x +4y² = 25x³

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

Q: flog(x) dx

A:

Q: Lim x-0 et - 10t

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Q: 2 = xey + yex, Find x az z дх' ду

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Q: 4. 27x³ − 9x¹ +3y¹ -23x² +13x -7 = 0

A: Find out the derivative of the function.

Q: General solution of dy dx = tan²(x + y) dx

A: This question can be solved by taking x+y=t

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 3. Lim In(x+1)3 X48 6x 3

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Q: Question 1 A body cools from 72°C to 60°C in 10 minutes. How much time (in minutes) will it take…

A: We will use Newton's law of cooling to solve this question.

Q: General solution of (x²y³ - 11) dx (x²y³²) dx + x³y²dy = 0 1+9x², General solution of dy = tan²(x +…

A: This question is related to differential equations, we will solve it using given information.

Q: 15. The piecewise function -t+ 0 ≤ 2 can be expressed in terms of a Heaviside function as:

A: We are given a piecewise function  f(t) =-t       0≤t<1t2+1      1≤t<2-3               2≤t…

Q: A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s. How fast does the tip of…

A:

Q: In(x+2) 1. S dx 2x+4 2 2. fx² ex dx 3. f tan³x dx 12

A:

Q: 3. Lim In(x+1)3 x →∞0 6x

A: We can evaluate the limit as below.

Q: (y² + 7xy + 16x²) dx + x²dy = 0 choices: In x + ( ₂₁ ₁²₁ ₁x) = C с 4x 1 In x + (y₂ + 4x) = с In x (y…

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Q: A street light hangs 24 ft above the sidewalk. If a man 6 ft tall walks away from the light at the…

A:

Q: II. Solve the following problems. Enclose final answer. 9. A gutter with trapezoidal cross section…

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Q: 1. For the cross product between vectors a=[h, -1, 8] and b=[k, 5, 7] to be axb= [-47, -5, 17], what…

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Q: lim (x-7) tan x x→2 플

A: The objective is to evaluate the limit.

Q: Question 5 Which of the following is not true? A None of the given choices ℗ √ ² in(x²) dx = I'm √…

A: The objective is to find which option is not true.

Q: If v = (x² + y² + x²) −¾7, then + O O O 1 O -1 O-1/2 Other: 8²v 8²v dx² მყ2 + 8²v əz² is

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Q: General solution of = dx tan²(x + y)

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Q: H.W // find the integral _1=√15 e-x³².dx. using 7. dx. using two and three points of Gaussian -1.5…

A: In numerical analysis, the Gaussian Quadrature method approximates the definite integral of a…

Q: Lim (112²28 - 1²/²) \sin²x

A: Given problem:-

Q: 2. . For what values of m does the function y = Aet satisfy the following equation? d'y dy + бу = 0…

A: find d2ydt2,dydt and substitute in the given differential equation and solve for m

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: We have to find the volume.

Q: The length of a rectangle is given by 4t - 3 and its height is √2t, where t is time in seconds and…

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Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

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Q: 1. For questions A and Given: Radium decomposed at a rate proportional to the qualit of radium…

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Q: Evaluate the iterated integral by converting to polar coordinates. 2x - x² [²√²-2² 9√ x² + y² dy dx…

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Q: Write TRUE or FALSE before each statement. Solve y + y = ry³. Statement 1. The integrating factor is…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: 1. x + y + xy = 21

A: We will use simple differentiation rules to solve this question.

Q: find given f (x, y) = eª + 2xy² – 4y at (0, 3) af dy'

A:

Q: A thermometer reading is 60oF at 3:00AM and a Civil Engineering student takes it outside where the…

A: Given: At 3:00 AM, thermometer reading = 60°F The outside air temperature = 20°F At 3:10 AM,…

Q: C064Exp3 Weight:1 The base of a solid is the region bounded by y = √x, y = 0, and x = 4. If every…

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Q: 23/ Solve the following. Choose two only. 1. lim x lnx³ X-0 2. lim x sin(1/x) 848

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Q: y = 3Arcsin (2x³) -- Arccos(2x³)

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Q: 6.0 4 -4x x5e хе dx

A: I am attaching image so that you understand each and every step.

Q: (a) dy Given 4 sin 3x + 2exy = (2x + y)³, find dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: limx→∞ x - 3 x + 1 2

A:

Q: Find the derivative of the parametrically defined curve (t) = 2 cos(4t), y(t) = sin(4t). dz 4cos4t…

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Q: Solve the following differential equation

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Q: evaluate the limit and simplify. Complete solution.

A: Evaluating the limit

Q: Find x-3) 2/2 lim 1+x0x+ O limit does not exist O e^-2 O e^-4 0-2 O-4 O Other:

A:

Q: 3. The Critical Point of y = xe-*

A: Answer :-  We have to find the critical point of y = xe-x

Q: 3/ find the area for the region in the first quadrant bounded by the curve (y = 4x - x²) and line…

A: We can find the area as below.

Q: Q9. The Laplace transform of the function u: [0, ∞o) → R (t−2)² + (t− 2) sin(5(t-2)), u(t): can be…

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Q: Which of the following statements is an exponential function? A y=14x+2 (B) y=(6x)² Ⓒ y=(2x+5)3…

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Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: We have to solve  part 1, 2 and 3.