Estimate the area under the graph of f(x)=√x+2 over the interval [ - 2, 0] using eight approximating rectangles and midpoints. M₂

Q: Solve the given differential equation. All solutions should be found. dy 3x² – 2y - y³ 2x + 3xy² dx…

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Q: Find the values of x and y - SX+(s+6) Y=1 (3-s) X-2sY= -8 ..... (1) (2) ...

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Q: Consider the following. f(x) = { J-7x, X ≤ 4 1x² - 2x + 7, X > 4 Find the x-value at which f is not…

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Q: The time in seconds, t, it takes for a specific object being dropped from a particular height in…

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Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-2=-2

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Q: 4) A coin is dropped from a height of 960 feet. The height, s (measured in feet), at time, t…

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Q: Find the velocity and position vectors of a particle that has the given acceleration and the given…

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

Q: * Parallel lines have the slope (m1x m2 )= -1 true False

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

Q: WA #

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Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a.…

A: Solved below.

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. 1/2 dy+y3/2= 1, y(0) = 16 dx

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Q: IF A [-3 6 -2 3 3 0-3 0 0 12] 06 3-6 -3 0 121 60-6 3 6 6] Option 5 6. Option 4 The Cofactor Matrix…

A: First we will understand  the term and then solve it.

Q: Using calculus, find the absolute maximum and absolute minimum of the function f (x) = 6x² − 36x + 2…

A: We want to find absolute minimum and maximum .

Q: You have a penny, a nickel, a dime, a toonie, and a loonie. How many different (non-zero) sums of…

A: You have penny, nickel, dime, toonie and loonie  How many different sum of money produce

Q: 2 Heather has a bag of 15 red, 11 orange, 9 yellow, 12 green, 6 blue and 11 purple markers. How many…

A: Heather has a bag of 15 Red ,11 orange ,9 yellow ,12 green ,6 blue and 11 purple. Find how many time…

Q: At what point do the following lines in R³ intersect? l₁ : (x, y, z) = (1,2,1)+ s(1,0,1), l₂ : (x,…

A: See the answer below

Q: 32 √ √(x² −2xy+3y²) dydx = =0 y=0

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Q: If f(x) is continuous in the interval [-2, 1], ƒ(−2) = −4, and f(1) = -1, can we use the…

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Q: Q6) Test the convergence of the following (n+1)(n+2) 1) Σ=1 n!

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Q: Suppose fe Cla, b] and f'(x) exists on (a, b). Show that if f'(x) #0 for all x in (a, b), then there…

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Q: Alternative Formula for the Derivative f'(x) = lim Z-X f(z) = f(x) Z - X

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Q: Q2: Find y(2) if D.E as give dy 2+3y=sin 2x, y(0) = 6 dx Given

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Q: Find the arc length of the curve y = 2/3 (x − 1) raise to 3/2 on the interval [2,3]

A: We have to find the arc length of the given interval [2,3] .

Q: Q2: Find y(2) if D.E as give 2 dy+3y=sin 2x, y(0) = 6 dx Given

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Q: Express as a sum or difference of logarithms without exponents. 5 4 X log c 4_7 y'z What is the…

A: log(a^n) =n(log(x))  log(a/b) =loga- logb log(ab) =loga +logb

Q: Find the derivative of the function. g(x) = (sech(7x))² g'(x) =

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Q: Determine whether the differential equation - (2x² − 2xy + 5) dx + (8y² − x² + 2) dy = 0 is exact.…

A: The given differential equation is;  (2x2-2xy+5)dx+(8y2-x2+2)dy=0.

Q: A particle has position function r(t) and velocity function v(t) = { 2e“, sin(−t), ln(t+1) ) (a)…

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Q: Find the equation of the plane tangent to the following surface at the given points. x² +…

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Q: need helping understanding this concept And why each statement is false or QUESTION 1 Check all…

A: We have to consider the given statements are true or false according to the given information

Q: Sketch the graph of the floor function f(x) = [x+3] over the interval [-4, 2].

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Q: A person standing close to the edge on top of a 48-foot building throws a ball vertically upward.…

A: To find the maximum hight of the ball.

Q: Q1/ Find -1 s² (s+1)(S-1)²

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Q: In this problem, y = c₂e + c₂e is a two-parameter family of solutions of the second-order DE y" - y…

A: To find solution.

Q: a) Find the symmetric equations of a line through the point po(2,-3,5) and perpendicular to the…

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Q: a) Find the growth rate. The growth rate is b) Find the population after 9 yr. The population is…

A: The population p of a small city is given. We have to find the growth rate of population.

Q: * Parallel lines have the slope (m1x m2 )= -1 true False O

A: Given question:- Parallel lines have the slope (m1xm2) = -1

Q: Q:5) A) Use the definition to determine whether the series converges or diverges 530+2 اسور

A: First I have written the Ratio test for Convergences of a series and show that , given series is…

Q: 5. DETAILS ZILLDIFFEQMODAP11 1.2.012. MY NOTES ASK YOUR TEACHER In this problem, y = c₂ex + c₂e-x is…

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Q: | Find the values of a and b such that the following function [a(x − 1)² + b²x+2, if x 3, ious at x…

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Q: ---(1) (y-2)² + (x - 1)² - 9 ---(2) 3. 16 = x² + y²

A: use for quadratic equation   a x2+bx+c=0x=-b±b2-4ac2a and -1  = i

Q: Find a basis for the null space of A = [³3 -3 1 2 -1 -2 4.

A: The given matrix: A=3121-3-1-2-1.We need to find a basis for the null space of A.

Q: lim x-0 1 1 (ex ²-₁-²) 1

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Q: 1 A large tank is partially filled with 100 gallons of fluid in which 40 pounds of salt is…

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Q: for the volume below...if Cylindrical Shell method was used ...What are the limits of integration? *…

A: use cylindrical shell method   V= ∫ab2πrh dx   where r= radius of cylinder             h = height of…

Q: If f(x) is linear, g(x) is linear, and h(x) = f(x)/g(x) What is the maximum number of vertical…

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Q: Jse a graphing utility to graph the function and estimate the limit. Use a table to reinforce your…

A: Using l hospital rule to get limit

Q: Calculate the work (in joules) required to pump all liquid out of a full tank. Assume a = 6 m, b =…

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Q: DETAILS ZILLDIFFEQMODAP11 2.5.003.EP. Consider the following homogeneous differential equation. xdx…

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Q: A large tank is filled to capacity with 600 gallons of pure water. Brine containing 2 pounds of salt…

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