√xif x<0 Let f(x)=₂x if 0≤x≤1 2x-x² if x>1

Q: Determine the maximum and minimum values of the function f(x)=cos³x on the interval x10,2x). Max…

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Q: (2y^2 + 3x)dx+2xydy=0 Solve using integrating factor

A: To solve the following differential equation by using the integrating factor.2y2+3x dx+2xy dy=0

Q: Solve the I.V.P using [x = zry]. y di dx + (y cos ( 1 ) - x) dy = 0, y (0) = 262

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Q: Find the rule that describes the piecewise-defined function. (Type an exact answer, using radicals…

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Q: Q5: Find the inverse Laplace transform of: f(s) = 3²(²-3)

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Q: If 2x + 3y = à and -x + 5y = 6b, express x and y in terms of à and b.

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Q: What is the degree of the following homogeneous function? * f(x, y) = On On-1 On-2 On-3 = xn +…

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Q: C) Find the arc length of the curve y-1-6x², 0≤x≤1

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Q: Ismael made an error when he was evaluating log3 27 - log3 9. Ismael's work log3 27 - log3 9 log, 27…

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Q: The curvature x(s) of C is defined as the magnitude of the rate of change of the unit tangent with…

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Q: An ice cube is freezing in such a way that the side length s, in inches, is s(t)=t+6, where tis in…

A: Write down the equation of the volume.

Q: 2x+1(4x²_5)³ 3 y = e

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Determine all the values of x, 0≤x≤ 2, for which the slope of the tangent to f(x) = sin x tan x is…

A: We have to find solutions

Q: Q2:- a. b. Let u=x²-2xy + 2y³ with x = s²ln t and y = 2st³. Find au/as and au/at. find the total…

A: We need to solve the two questions.

Q: 6. cos x sinỗ xdx

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Q: Solve the differential equation. 11.    ( 2xy – tan y) dx + (x2 – xsec^2y) dy = 0

A: The given differential equation is; (2xy-tany)dx+(x2-xsec2y)dy=0.

Q: h(t) = + 3²²-t t

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Q: f(x) = (2x - 3, if x = 2 # 3, if x = 2 12x 3,1

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Q: b. Determine the gradient of the following function at Po h(x, y, z) = cos xy + e + In zx, Po(1, 0,…

A: We need to find gradient.

Q: Find the solution of the given ODE. (6x² - 7y2) dx - 14xydy = 0 2x³ - 7xy² = C 3x² - 14xy² = C O…

A: Given problem:- Find the solution of the given ODE.   (6x2 - 7y2) dx - 14xydy = 0

Q: Q4:- Find the derivative of the function at Po in the direction of the vector AC. f(x, y, z) = x² +…

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Q: From a group of 12 student representatives, 5 will be chosen to work on a committee. How many…

A: From a group of 12 student representatives, 5 will be chosen to  work on a committee. To determine…

Q: Determine the maximum and minimum value of the function f(x) = 3x3* - 1. O No max and min of -2 No…

A: This question can be solved using the concept of maxima and minima.

Q: x.e²ydy + 12 dx = 0

A: Follow the procedure given below.

Q: 1. find the derivative 2x² - 6x³ + 5x²-3x + 17 Enter your answer

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Q: Given the matrices A ING B 3 4 the matrix X in the equation A (X + 3B) = C. 148.9 X = 9 and C= - [-3…

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Q: sin 4x Does it exist? '. 1. Calculate lim 2. Find lim x-2 x-2 x-2 3. Find the asymptotes of - and…

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Q: 5. If the variance equal 16, the standard deviation equal: OA. 4 OB. 10 O C. 5 OD. 3 O E.2 6. If the…

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Q: Determine an equation for the tangent to each function at the point with the given x-coordinate. 77…

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Q: f(x,y)= exsin (y), fx(x,y)

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Q: √ √3x + 4 dx

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Use the Factor Theorem to determine whether x+1 is a factor of P(x)= 2x4 +2x3 -6x2 +6…

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Q: Graph the function. f(x)=3√x-5 Plot four points on the graph of the function: the leftmost point and…

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Q: 4. Let X: +3 if x < -2 if -2<x< 1 h(x) = {x² -x+2 if x2≥1 a) Find the following limits if they…

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Q: a f(x) = x² sec (ax)

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Q: 11. Describe as many equivalent conditions as possible for a given vector field F is a conservative…

A: Given : F→ is conservative.

Q: 440 All boxes with a square base, an open top, and a volume of 110 ft3 have a surface area given by…

A: Given problem:- All boxes with a square base, an open top, and a volume of 110ft3 have a surface…

Q: Into a 100 - gal tank initially filled with brine containing 50 lb of salt flow 3 gal/min of brine…

A: Into a 100-gal tank initially filled with brine containing 50 lb of salt flow 3 gal/min of brine…

Q: 6X-1 4X+1 X+7<6X=1 6 OX<-89/2 (-∞, - 89/2) OX<-89 (∞, -89) OX<-2/89 (-∞, -2/89) OX<∞ (89/2, ∞)…

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Q: Graph the function. f(x) = -x²+2 Plot five points on the graph of the function: one point with x =…

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Q: Evaluate the integral. (Use C for the constant of integration.) The integral of sqrt((4+x)/(4-x))dx

A: To evaluate the integration.

Q: Integration of Inverse Trigonometric Functions 1 1). fsinødø.; cos² Ø+9 1 2). Scotødø.- √9-In² sino

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Q: Solve for y at x=2: (4x^3-6yx^2 + 2xy^2)dx + (2yx^2 - 2x^3)dy = 0; y(1)=4

A: This question can be solved using the concept of differential equation.

Q: A body weighing 64 Ib is dropped from a height of 100 ft with an initial velocity of 10 ft/sec.…

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Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

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Q: 50 own. Draw the graph of y=g(2x).

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: If the equal tensions T in the pulley cable are 520 N, express in vector notation the force R…

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Q: Use synthetic division to find the quotient and remainder when 2x3 -8x2 -1 is divided by x

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Q: Two functions and g are defined in the figure below. 8 9 Domain off Range of f Domain of g Range of…

A: Let's solve.