Find constants a and b such that the function 3– bx, if x>-2 f(x)=- -1, if x=-2 ax – bx, if x<-2 | is continuous for all x values.

Q: Determine the radius of curvature of the plane's path (km). Round off your answer to the nearest 2 D...

A: Given that:                              

Q: The expression ā o (b o č) represents O a scalar something that does not make sense O a vector O a l...

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

Q: Given f(x, y) = 4e2" sin(2y) %3D then V f(0, 7) =

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Q: (x + 3)² lim – 9 = 3 2x

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Q: Given the polar curves r = 1- 2 sin e and r = -4 sin 8. Do the following: 1. Sketch the curves on th...

A: Find your answer below 

Q: Let R be a region bounded by the curves y = x² and y = 4x – x². Evalua /| (a + y)dA. R

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Q: -2x y = C1e¯ª + C2e¯2¤ + x

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Q: Given the points A(-1,1,5) and B(2,5,0): a.) Find AB . b.) Find the equation of the sphere which has...

A: We will find the Magnitude of the vector AB Also we will find the equation of the sphere.Below find ...

Q: Determine if the given function is continuous and differentiable at the indicated values of x. Write...

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Q: Laplace Evaluate the following. Differential Equation 1. L{e* + cos 6t – est cos 6t} ,3t -

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Q: Whet is the particular solution if y(1)-07 zy = y+ (x² + y²)² y =z sin (In z) Arcsin 2- - In z + 1 O...

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Q: The piecewise function f represents the prescribed minimum withholding tax of a person whose monthly...

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Q: Use  f(x) = 3x − 5 and g(x) = 2 − x2 to evaluate the expression. (a)    (f ∘ g)(x)   (b)    (g ∘ ...

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Q: 1. The differential equation x(3.xy – 4y' +6kdx+(x' – 6x²y² - 1\dy = 0 is exact because ƏM ƏN dy

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Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9, where 0 < x <4 а. 2 b.3 c. 0 d. 1

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Q: Determine whether the series converges using the Ratio test. 9k k3 k=1 The series

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Q: Determine the order and degree of the following equations: a.) (d^2y/dx^2)^2 = (dy/dx+4)^3/2 b.) sqr...

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Q: For the given p-series, identify p and determine whether the series converges. 4/3 k=1 p = Therefore...

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Q: 4. The differential equation x(3.xy-4y' +6)dx+(x' - 6x²y² -1)dy = 0 is exact because ƏM ƏN Əx

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Q: dy in y= sin x Find dx 1+cos x cos?. а. 2 x+ sin x +cos x 2 cos x+ sin? x b. (1+ cos x) 2 (1+ cos´ x...

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Q: Find the dot product: (5, —3) о (2, 3) O 1 O -1

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Q: Use the limit comparison test to determine whether the series converges. 00 4 5k + 5 k=1

A: Given that: ∑k=1∞45k+5

Q: 11+11-12=

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: lim x 1. x- 3.

A: Follow the procedure given below.

Q: The size of a certain insect population is given by P(t) = 300e 02 where t is measured in days. At w...

A: Given query is to find the time when population of insects will be 1500.

Q: 8. Trace of (BA)²

A: Given :A=024-25-4431028336-43B=11121314125-201370214649  

Q: 22. Determine Sz sin? y cos y dy

A: Given that: ∫0π2sin2ycos6ydy

Q: representing all lines passing thru (-1,1)

A: We will find the equation of line passing through the (-1,1).Below find the solution in the image.

Q: 3.b) Eliminate the Ar bitrary Constants in the equation B.a) Eliminate the Arbitrary Conatanta in th...

A: Using differential equations. To eliminate arbitrary constant 1.differentiate given equation as many...

Q: Transform the linear equation into its standard form and evaluate the DE. xdy-dy=(3x²-3x)dx-ydx

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Q: Which of the following differential equations can be classified as separable and exact?

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Q: For the given p-series, identify p and determine whether the series converges. 8. 2k413 k=1 p = .The...

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Q: cot 2x 2. lim TC csc3x+tan x 4

A: To evaluate: limx→π4cot 2xcsc3x+tan x

Q: Separate the variables and evaluate the DE:   cosx/dx + 1/ydy =0

A: Given that: cosxdx+1ydy=0

Q: Determine the value of C for the given first order differential equation when x=2 and y=1. e*+v/ = e...

A: Given  ex+y y' = e2x-y  y' = e2x-y/ ex+y y' = e2x-y-x-y  y' = ex-2y y' = ex/ e2y dy/dx= ex/ e2y e2y ...

Q: A man starts walking north at 6 ft/s from a point P. Five minutes later a woman starts walking south...

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Q: Find the differential equation having the solution as the equation representing all ellipses having ...

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Q: The x(x² + x} dx has the value of 80 49, 49 60 49 50 а. b. 70 d. C.

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Q: Calculate the absolute and relative errors in the expression: a 2b – 2cb +, if the measurement of a ...

A: The given expression is: 2b-2cb+ab

Q: The solution of a certain differential equation is of the form y(t) št = ae + bet, where a and b are...

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Q: representing all ellipses having its centers at the origin and transverse axis X. z (wv" + (v)*] + u...

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Q: Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min, and its coarseness is such that...

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Q: Which of the following functionis islare homogeneous? You could choose more than ane from the choice...

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Q: Consider the indefinite integral r8x³ + 7x² + 45x + 36 dx x4 + 9x2 Then the integrand has partial fr...

A: Consider the indefinite integral ∫8x3+7x2+45x+36x4+9x2 dxThen the integrand has partial fractions de...

Q: What is the particular solution if y(1)=D0? 1/2 xy = y+ (a² + y³)2

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Q: what is the order and degree of the equation:   (d^3y/dx^3)^2/3 = x+6 dy/dx

A: Given that: d3ydx323=x+6dydx

Q: 3. lim Jx| ズート-1

A: Let's find. 

Q: Find the derivative of y = arccos 4x with respect to x.

A: Given that: y=arccos4x

Q: ſe^(3-z) sin(2+z) dz *

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