What is the mass in both (a) slugs and (b) kilograms of a 4390-lb car? Answers: (a) m = slugs (b) m = kg Mi IM

Q: Determine the values of m and b such that function g is continuous at every real number: if r 1.

A: Since the function g is continuous.So, limx→1-g(x)=g(1)limx→1-x2-mx=-212-m(1)=-2m=1+2m=3

Q: (D³ + 2D² - 5D - 6)y=0; y = 0, Dy=0, D²y = 1, when x = 0.

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Q: The area bounded by y = 2x² - x³, and y=0 is revolved about x=0. Find the volume of the solid…

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Q: Q4:Evaluate 1) lim (1-²) x-0 \sin x

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Q: Solve the initial value differential equation with initial values y(0)=2 and y'(0)=6 y" - 3y + 2y =…

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Q: Used Cramer's Rule to find the value of the variables (X,Y,Z) in the following equations x + 2y + 3z…

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Q: egion in the first quadrant is bounded by the curve y=1+ sin²x, the coordinate axes and the line x==…

A: Topic:- application of integration

Q: Write the equation in standard form. x 2 + y 2 - 8x - 4y + 12 = 0 ( x - 4) 2 + ( y + 2) 2 = 8 ( x…

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Q: The region in the first quadrant bounded by the graph of y=8-x32, the x-axis, and the y-axis is…

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Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

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Q: [e²y ycos (xy)] dx + [2xe²y XCOS (xy) + 2y] dy = 0

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Q: Convert 2.00 caws to screeches 8.00 caw = 5.00 chirps 0.82 chirps = 1.0 song 3.00 song 2.0 screech =…

A: 8.00 caw=5.00 chrips0.82 chrips=1.0 song3.00 song=2.0 screech

Q: (D² - 2D + 2)y=e²x (cosx - 3sinx)

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Q: On your phone you have 23 rap songs and 14 country songs. How many 6 song playlists (order atters)…

A: Recall:  Crn=n!r!(n-r)!

Q: Evaluate (x²sin y-xcos(y)) dy A x²(1+ sin(1))-xcos (1) + C B x²(1-cos(1))-xsin (1) + C C 2sin…

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Q: Evaluate the integral. (Use C for the constant of integration.) | VER-X² dx 81 x

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Q: Determine whether the series Σ n=1 convergent, or divergent (−1)” 7n-5 is absolutely convergent,…

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Q: In the expression n (7) x²3² +3 z" •n is a real number • x, y and z are real numbers greater than 0…

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Q: Question 4 A conical water tank has its top at ground level (consider this to be the x-axis) and its…

A: The given problem is solved below in detail.

Q: 2 · S² f 0 Given f(x,y) = x²y-3xy³. Evaluate A-6y³ +8y/3 14y-27y3 B 6 6x² - 45x 4 D 2x² - 12x BARCE…

A: Given f(x,y) =x²y-3xy³ Now integration of 0 to 2 (x²y-3xy³)dx  = (X³y/3-3x²y³/2) limit 0 to 2 Put…

Q: dx In the next integral S x√25–4x² substitution is considered 2x = 5sin 0, after performing the…

A:

Q: Find the area bounded by the curve r = 2 - cos Upload Choose a File

A: area

Q: Limits 8. Find the indicated limit using the graph of f(x) below. , V lim f (x) x-2 =

A: Topic = Limits

Q: The value of arcsin O KIT X 4 KIO O KIM X 3 KIN 2 (9) is

A: here is given that sin-1(1/2) we now that sin-1(sin(π/6))

Q: Scotch is looking to make a larger size roll of duct tape. The current roll is shown in the photo.…

A: First finding the volume of original roll

Q: A conical water tank has its top at ground level (consider this to be the x-axis) and its base 12 ft…

A: Let's find total work(W).

Q: Q4:Evaluate 1) lim (1-²) x-0 \sin x

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Q: 5. Consider the region bounded by y = x² - 4x+5 and y = 2. The region is revolved about the vertical…

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Q: 14. Solve for x. 2¯¾ = 8(x-3)

A: Given, 2-x2=8x-3

Q: Suppose ƒ be a function such that fo f(x) dx = 3. Then ² t² f(t³)dt: 9 [Select] Select] 103

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Q: Consider the following. Function Line f(x) = x³ 3x-y + 8 = 0 Find the slope of the given line. slope…

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2 the x- axis, and the y-axis is…

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Q: 1. Let f(x) be the cubic function graphed below and g(x) be the quadratic function graphed below.…

A: From the given graph of the region, we have to find its area

Q: Find the general solution of the differential equation: y' - 5y = te-2t Use lower case c for the…

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Q: A bacteria culture starts with 500 bacteria and doubles in size every half hour. (c) How many…

A: Topic:- exponential growth function

Q: Let K/L be ideal of quotient ring R/L. If K is prime ideal and contains L, then K/L is prime ideal.…

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Q: 1. (ex + lny + 7) dx + ( 85 + In x + siny) dy = 0

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Q: In how many different, distinguishable orders can the letters of the word algebra be arranged?

A: We have to find the number of ways in which the letters of the word algebra be arranged in…

Q: Given f(x,y) = x²y-3xy³. Evaluate (A) 2x²-12x B (C) (D) -6y3+8y/3 14y-27y3 6 6x² - 45x 4 2 1 fdx

A: Topic = Integration

Q: The graph C' of the equation y = gives the course taken by an oil tanker after leaving port, which…

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Q: (x²-1) + 2y = (x + 1)² dy dx

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Q: What is the amount of work done on a spring when it is compressed from its natural length of 1 meter…

A: Topic = Algebra

Q: Find the derivative of O2 sec 2x O 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x

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Q: (D² + 3D + 2)y= sin ex

A: The given differential equation is  (D2+3D+2)y=sinex

Q: Solve for the non-homogenous linear differential equation: y''+4y=cos^2(x)

A: Given; y''+4y=cos^2(x)

Q: 4) Consider the following logarithmic equation: What is the solution to the equation? log4(x + 2) +…

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Q: 1. Evaluate the integral: (a-1/3 - 2/3) da X

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: } L 1 (s? +1)(s? + 25)

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Q: For the following function : 4 • <t<1 - f.(.t.)..==. [² 1<t<2

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Q: Can you state the order and tell if it is linear or non linear please?

A: Given.