0302 1 0 01 0 0 2 03 0 0 0 1 2 1 -1002 2 a b C d 0(6+1)el 2 = 1 0

Q: Evaluate ·S dx 2 ²√x²-9

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Q: The following are differential equations except A y" - 2cosx=5 B C D dy x+y dx x-y y" - 2y +5=0…

A: We can find the equation which is not a differential equation as below.

Q: MY The derivative with respect to x of the function y=-3tan-¹x-(In 3) log, (csc x) is y' = cotx + O…

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Q: Given the measurement 2.4 g, find (a) the relative error (to 2 significant digits), and (b) the…

A: Given - Given the measurement 2.4 g Formula used - Relative error = greatest possible error /…

Q: Suppose the second derivative of a function f is f" (z) 0 (-∞, 1) U (1, 3) U (5,00) ○ (3,5) O (1,3)…

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Q: 80 mm 40 mm 40 mm 10 mm 30 mm of the beam's cross-sectional area. X 20 mm

A: The solution is given below

Q: The derivative of y = -ln(cos(ex + 1)) is

A: Our Aim is to find the derivative of y=- ln cos ex+1 -(i)

Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

A: Find complementary solution  Then find wronskian of the functions which are solution of homogeneous…

Q: 9. S coslnxdx X

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Q: The derivative of y = In(sin(ex + 1)) is O y' = -ex cot(ex + 1) the above y' = -ex tan(ex + 1)

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Q: A one-lane highway runs through a tunnel in the shape of one-half a sine curve cycle. The opening is…

A: Given :- The shape of the tunnel = One-half sine curve cycle The height of the road at its highest…

Q: 1. If X-Uniform (-), find the distribution of Y = tan x.

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Q: What is the degree of the homogeneous funcrion f(x,y) = = tan A 0 B 3 C) 2 4x² - 2 [(x + 5)² ] -…

A: We have to find out degree

Q: dv dt speed motion ough = kv-² mg Determine differential equation for the velocity v(t) of a falling…

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Q: 11 7 Find Y y N 2x² + y² = 4 2

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Q: 2. Determine the zeroes of 2 x² = x f(x) instantaneous zeroes using a table of values. — 3x 4 and…

A: To find the zeroes of the polynomial.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Given points are,

Q: Find the area of the region common to the interiors of the cardioids r= 1 - sin 0 and r= 1 + cos 0.…

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Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in…

A: Here, x changes from 35 to 38. So, change in x = 38 - 35                              =  3.

Q: Find the derivative of Yfind the equation + e* cos 2x I = 8 Use the of the line tangent to the curve…

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Q: If f(x) = etan-¹(x²-3) then f'(x) at x = 2 is equal to

A: SOLUTION-

Q: Verify the identity. 9 cos(sin ¹ x) = √81 - 81x² = 8 = x = . Thus, Let 8 = sin-¹ x = sin 8 = x 9…

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Q: Consider the parallelepiped with adjacent edges Find the volume. V = i u = Si + 5j + k v = i + j +…

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Q: Using an appropriate substitution, the integral cos cos (ln(2x)) X is equal to dx - — cos(ln(2x)) +…

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Q: Suppose that we have found a value of 8 such that ε = What numbers should go in the blanks such that…

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Q: Evaluate the limit: lim 2-8 x² - 12x + 32 2-8

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Q: Evaluate the following integral. 2 3x² dx (16+x²)²

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Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

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Q: 6. Use the difference quotient to estimate the 2 instantaneous rate of change in f(x) = x² at x=3…

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Q: Verify the identity algebraically. 3 cos(x) 1 - tan(x) 3 cos(x) - 3 cos(x) - 3 cos(x) 1 - tan(x) = =…

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Q: ㅠ St tan5 (2x) sec² (2x) dx

A: Given:∫π2πtan5(2x)sec2(2x)dxsubstitute u=tan(2x)differentiate on both sideswe know that…

Q: An offshore oil well is 2 kilometers off the coast. The refinery is 3 kilometers down the coast (see…

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Q: 5. (3x-17) dx / (x² - 6x + 10) 11

A: As per our guide lines we are supposed to answer only one question. Kindly repost other questions as…

Q: Find the gradient of the function at the given point. Function Point f(x, y, z)=√√√x² + y² + z² (8,…

A: Our Aim is to find the gradient of the function at the given pointwhere Function is…

Q: Verify that the two planes are parallel. -x + 6y + 2z = 6 1 2t x + 3y + z = 7 Find the normal…

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Q: Find the equation of the tangent line T to the graph of f at the given point. Use this linear…

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Q: NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time…

A: Topic- quadratic equations and application of derivatives

Q: 2. A rancher from above needs two equal adjacent rectangular pens that share a fence in the middle.…

A: Given that ,Rancher needs two equal adjacent rectangular pens with a fence in middle. this can be as…

Q: The general solution of xdy-ydx = x²e³dx is (A) y+x²+x=0 B x+ye²-cx=0 C y=x*-c=0 (D) x-ye*+cx=0

A: We need to find out the general solution.

Q: An offshore oil well is 2 kilometers off the coast. The refinery is 3 kilometers down the coast (see…

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Q: Using tabular integration, the integral In 2 S™ (-2x + 1)e²x dx is equal to

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Understanding of inflection point calculations are required to understand this problem.

Q: A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the…

A: We can solve as follows

Q: Solve the given DE y'= X - x 3 — 2y 3 3ху 2

A: We have to solve the differential equation

Q: Find the radius of convergence, R, of the series. R = 8 Σ n = 1 I = xn 1.3.5. .... (2n-1) Find the…

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Q: dx tan x-1 1. f S=

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Q: Use partial fractions to evaluate x² + 4x + 1 Lix (x − 1)(x + 1)(x + 3) dx

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Q: Find the radius of convergence, R, of the series. (x - 10)" n R = 10 ∞ n = 1 I = Find the interval,…

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Q: Consider the following. u = -9i2j4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find the…

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Q: The area of the sector of a circle with radius 16 feet formed by a central angle of 95 is feet.…

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