f(t) = 0, -2, 0

Q: The diameter of a car's tire is 50 cm. While the car is being driven, the tire picks up a nail. The…

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Q: lim t-→∞ 8 (1²)√42t³ + 25t¹2 + - 7t² t 7835t881t5 + 10t3

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Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

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Q: "m+nis 5. ( Let set A be the set of integers. For all m and n in A, mRn odd". Determine if the…

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Q: 3. Solve by using Laplace transform where y" + 4y = f(t) f(t) = y(0) = 0, y'(0) = -1 [ 1 0 < t < 1 0…

A: solution :

Q: 28. Write 0.684 as a percentage. 29. Write 1.05 as a percentage. 30. Write 18 as a percentage.

A: To convert any number into percentage , multiply that number by 100 28.) 0.684 x 100 = 68.4% 29.)…

Q: that|k= te soluti 15 kx tyt y + ky kydy

A: Given system is,kx+y+kz= k2x+ky+z=kkx+y-kz=k2

Q: lim¸ √x³ +8-3 x+1 7. Evaluate x→-1 8. Use a table of values to find an approximate value of limx→…

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Q: FOR UPVOTE. DOWNVOTE FOR HANDWRITTEN. DO NOT ANSWER IF YOU ALREADY ANSWERED THIS. I'LL DO

A: Introduction: The formula for the Taylor series of the function f(x) centered at x=a is given by,…

Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

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Q: (b) Let H= ((3,3, 6)), the cyclic subgroup of G generated by (3,3,6). Determine |G/H.

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Q: Use the figure below to answer the following question(s). B A Graph 1 Graph 2 Which of the graphs…

A: To find- Use the figure below to answer the following questions(s): Which of the graphs has an…

Q: Determine the Fourier Series of f(x) = x², over the interval - < x < and has period 2 O! f(x) = […

A: We have to find the Fourier series of the given function.

Q: At a local market place, Naomi had 510 dolls to sell. In the morning, Naomi sold 160 dolls. In the…

A: Seven Thousandths = 0.007   Total dolls Naomi had = 510 Total dolls sold = 160 + 117 +100…

Q: 2 -5 Let y = -3 and u = -4 -1 3 Compute the distance d from y to the line through u and the origin.…

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Q: 1 (a) Suppose you have toy blocks that are 1 inches, 2 inches, and 5 inches in height. Find a…

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Q: L-1{6(s+1)} 54 a. 3t² +t3 b. 3t³+ t² c. 6t² + ³ C. d. 6t³ + t² لاح

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Q: Find the volume of the region bounded above by the plane f(x,y) = 2x + 3y +7 and below by the…

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Q: 1 (b) Find Fourier cosine transform of f(x)=< -1 <x< 0<x</

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Q: 16. A population grows according to the exponential growth model. The initial population is Po = 6…

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Q: Determine the value k with which it is satisfied that the following equation has an infinity of…

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Q: -1 L-1 [wcose+ssine` s²+w² a. sin (wt + 0) b. sin (t + 0) c. cos (wt + 0) d. cos (t + 0) 2}, w & 0…

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Q: 2. Evaluate the double integral that will find the volume of a solid bounded by =1-2y²-3r² and the…

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Q: swer in polar form where r> 0 and

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Q: 1 2. Σn=10"+ 5n · (Comparison Test)

A: We will use comparison test for series.

Q: (1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

A: First let xy be positive  Then either both x and y are positive or both are negative  If both are…

Q: 5. A stone dropped into a still pond sends out a circular ripple whose radius increases at a…

A: Solution: Let r be the radius of a circular ripple then rate of change in radius with respect to…

Q: Show that the line of intersection of the planes x +y-z = -12 and 2x + 4y - 3z = -8 is perpendicular…

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Q: f(x, y) = ln(108x +9y) + 6x² - 9y Local maxima are none Local minima are none Saddle points are none…

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Q: x= 3+ y^2,x=2- y^2, y = 1, y = -2 O 7 sq. units O 8 sq. units O 9 sq. units 10 sq. units

A: We have to evaluate the area bounded by the curves x=3+y2 and x=2-y2 and the lines y=1 and y=-2. We…

Q: 1. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

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Q: Solve the non-homogeneous linear recurrence relation. (note: the non-homogeneous part is a constant…

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Q: 3. Obtain the Maclaurin series for cosh x using the fact that cosh x = ²/²/² ( e ² + e^²³) е

A: We have to find Maclaurin series for cosh x. Given that, cosh x=12ex+e-x

Q: Find the solution of the given initial value problem in explicit form. 70 sin(2x) dx + cos(7y) dy =…

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Q: 3. Use the definition of Taylor series to find the Mclaurin series expansion of f(x) = ln(1 + x²).

A: Given function is  fx=ln1+x2

Q: A particle is moving along an s-axis, where s is in feet. During the first 5 seconds of motion, the…

A: Equation of position of particle during 5 second is given by s=10-(3-t)2,  0≤t≤5 Initially at t=0…

Q: Check for convergence / divergence. Find the limit if convergence. 3n²-5n+1 2n +7 0 {a}= (a.} =…

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Q: Find the solution of the given initial value problem in explicit form. 7 ㅠ sin (2x) dx + cos(7y) dy…

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Q: (1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

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Q: Date aw horizontal lines to decompose each rectangle into the number of rows as indicated. give the…

A: (a) 3 rows each block is 16 therefore shaded portion as sum is  12=16+16+16=36 as product is…

Q: L{12te-³t} 12 a. (s+3) 12 b. (s+3)² 1 C. (s+3)² 12 d. (s+3)³

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Q: 49y = t ²e-7t as the independent varie and c₂ as C₂ as arbitrary con

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Q: 11. A tank contains 100 gallons (gal) of water and 50 ounces (oz) of salt. Water containing a salt…

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Q: If E, F, G are the following elementary matrices, compute the given matrix expression. You can…

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Q: The appropriate Fourier series for f(x) = {1: { 1, -π< x < 0 0≤x≤ T

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Q: Find a series representation for f(x) = 1/(x^2 -11x + 24) about a center: x = -2

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Q: ff curl(x²yi - rzk). n do over the closed surface of the ellipsoid 4 16 Warning: Stokes' theorem…

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Q: -1 [wcose+ssine` s²+w² a. sin (wt + 0) b. sin (t + 0) c. cos (wt + 0) d. cos (t + 0) L-1 }, w & 0…

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Q: (2) Let x,y and z be real numbers. Show that the distance between a real number x and z is the sum…

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Q: Q2): For each of the following functions,determine if f(x) is convex, concave, or none of these.…

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