Find the distance between the points. 2 (3, 3), (3, -1) 2 units

Q: Find the first derivative of y = (e³x)(3x² – 7)

A: This question is related to differentiation, We will solve it using given information.

Q: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

A: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² +5t + 32) sin(t)dt

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Q: 1. The population of a town grows at a rate of r(t) = 300 e0.2t people per year (where t is the time…

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Q: Find the derivative of f(x) = a√². f'(x) = 9.

A: We know, d/dx (xn)= nx(n-1), for any real number n.

Q: 1. [(5x (5x - 3)100 dx 2. [(x − 3)¹/4 da dx 5 3. · / ( 2² + ² ) ( ²2 2²³ + 2) * dx 2 3

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Q: A poster of area 6000 cm² has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

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Q: Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours after 12:00 noon…

A: Given problem:- Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours…

Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

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Q: Question 7 (a) Find if x² + y² + xy = 1 dy dx (b) Identify the nature of the stationary points of…

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Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

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Q: Solve the differential equation by the method that you think is most convenient.   (y + √(xy)) dx -…

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Q: 4. [ε (8x − 3) (4x² – 3x) * dx

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Q: 2. Let f(x) = 24. Sketch the graph of f(x) on the graph below. Then use the graph to find the…

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Q: Use mathematical induction to prove the following: 1 + 3 + 5 + ... + (2n – 1) = n² for n ≥ 1

A: This question can be solved using the four basic steps of mathematical induction.

Q: Save On Shoes bought a shipment of 677 pairs of women's shoes for $26.00 per pair. The store sold…

A: Given that     677 pairs of shoes bought for $ 26 per pair                        115 pairs sold…

Q: dy (A) Show that if y=csc(u), then =-csc(u) cot(u) dx

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Q: PLEASE ANSWER:  Find the number in the interval [−1, 1] such that the sum of the number and its…

A: To find the number in the interval [-1,1] satisfying the given conditions.

Q: Set-up the double integral for the area of the region outside the unit circle r = 1 and inside the…

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Q: Q1: If the function f(x) define as f: R →R such that f(x)= (x+1, x>2 x²-1, x≤2 Show that the…

A: Solution is given below:

Q: 3e-20 + 2x 3.y" + 6y + 8y = 3e-2x

A: Here we have to solve the differential equation.

Q: Find the linear approximation at x = 0 to Write your answer in the form y = Ax + B.

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Q: 1. 2²₂(3x-4)dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3-Given the points A(4, 7, -2) and B(-2, 1, 6): a) Find AB and express AB in terms of i, j,K.?(..

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Q: Q1/ Without using L'Hopital rule, find the following limit. x²-x-2 lim 4x²+4x

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Q: Find the point of intersection. 4₁:X-17 y-58 z-23 3 2 = 11 L2 x-49 7 N y-26 4 =z-15

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Q: given m=6, n=1, and v=(-4,7), what is v(n-m)?

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Q: Solve the following integrals. 3.) S fafy dxdy y²-x²

A: On solving this we will get

Q: Find an antiderivative F(x) of the function f(x) = 5 sin(x) such that F = 3. F(x) Now, find a…

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Q: Find two positive real numbers such that the sum of the first number squared and the second number…

A: Convert it in one variable then use double derivative test

Q: 5. If A is (8, -7) and B is (5, 16), find a unit vector in the same direction as AB.

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Q: Please explain this process: 49 7.760 Σ 7+1 10⁰ 49 = 3 1-7 3 10 ↑ n= P 16.33

A: Using geometry series

Q: seconds after the start of the movement. (B) Use Tabular integration to evaluate the following: -…

A: Let's evaluate given integral by using tabular method.

Q: (2 fi = f(x²+xyz, y² +22= Prove that (y²-2x) ou 2ZX) then ne (²h-x) he 18

A: Concept: Partial derivative : The partial derivative is similar to the normal derivative except in…

Q: 2- Are the vectores [4,2,6] and [6, 3, 9] collinear? How do you know?

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Q: 4 fsin 2xcos²2xdx

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Q: 2. f(-7sinx + 3cosx)dx (-7sin 3. √(3x − 2 + sin x) dx TE 4. (3 sec² x + 4 csc² x) dx

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Q: A car wash firm calculates that its daily production (in number of cars washed) depends on the…

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Q: Use Taylor's Theorem to find an interval [ z, z] where the Maclaurin polynomial p2(x) = 1- 2 1…

A: Given problem  is :

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

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Q: Find the derivative of the function. <-2 g(x) = (7x² - - ² 4 4x + 7 g'(x) = 2 ((7x²-4) (28x²…

A: g(x)=7x2-44x+7-2 Chain rule: f(u(x))=f'(u(x))·u'(x)

Q: 4. Letf(x)=x22/5 - 19x². Determine the largest n for which fis n-times continuously differentiable.

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Q: Find the area bounded by the curves y=x2-4x and y=x-2 at an interval [0,4]

A: To find the area bounded by the curves y=x2-4x and y=x-2 at an interval 0, 4.

Q: Find the equation of the line through P = (14, 13) such that the triangle bounded by this line and…

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Q: (a) If (tanh x) = 1/4, find the value of sinh x without a calculator. Show the procedure of your…

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Q: 5. Calculate the area of the parallelogram formed by the vectors (4, 10, 9) and (3, 1, -2).

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Q: The position function of a spaceship is r(t) = (5 + t)i + (2 + In(t))j + + (7 - 2 + ₁ ) k and the…

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Q: a) Approximate the area under graph (a) of f(x) = 2/x² over the interval [2,6] by computing the area…

A: Area using rectangle

Q: The linearization at a = 0 to √8+7e is A + Ba. Compute A and B. A B= || ||

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Q: (B): Find the integration by using substitution method √x√2x-1 dx

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