5x - 3 40) y =2

Q: polynomial P(x)= x3 + kx2+4x-12 has an x- intercept of -2.The polynomial can be written as P(x)=(x+a...

A: Given query is to find the value of c.

Q: A 2-lb-per-gallon salt solution is pumped in a 400-gallon tank at a rate of 2 gallons per minute. At...

A: We will find that how much salt is in the tank as soon as it starts to overflow.Below find the solut...

Q: О 10 O 5

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Q: Suppose a metal ball is heated in an oven at 195 °C for a very long time. After, it was removed and ...

A: follow the procedure given below.

Q: For each problem, find the equation of the secant line that intersects the given points on the funct...

A: Here is the solution

Q: y(8y² –5)dy 4y* –5y² +5 *(0–4)de (0+5) (x+e*)dx 1. 3. v tan v*dv 4. 5+31ncosv* 2.

A: To evaluate the given integrals.2 ∫θ-4 dθθ+523 ∫x-1+exex-ln1x dx

Q: Find the volume of the solid formed by rotating the region bounded by the curve y = v3 and the line ...

A: Follow the procedure given below.

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

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Q: dy dy Given the differential equation 2. da3 +2. dx2 dr Propose an appropriate particular solution. ...

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Q: Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element of th...

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Q: 9. Tan -30 degrees 11. tan -960 degrees 13. cot -630 degrees 15. tan 90 degrees

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Q: Show that (4, 5) is on the graph of f(x) = 2x + 1. Since f(4) = 5 the point (4, 5) is on f(x). %3D F...

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Q: (x² + y²)dx + 3xydy = 0

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Q: One person in small town with a population of 500 people has been infected with greyscale, a deadly ...

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Q: Suppose a block of metal is heated to 250 ° F and then brought into a room that is at 90° F at 5 pm....

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Q: 21 dt 24 24 s(s – 2) (s – 2)' O A.) B.) 24 24 s(s + 2) s°(s – 2) C.) O D.)

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Q: Gab’s age on his birthday in 1989 is equal to the sum of the digits of the year 19xy in which he was...

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Q: (2x - 3 if x0 Sketch this graph on the grid below. Is this function discontiruous? Tf yes, state whe...

A: The given function is,f(x)=2x-3if x≤02+x2if x>0

Q: Suggested Title: New Note Edit 15 February 2022 at 5:00 pm zp /2 Integrate using trigonometric subst...

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Q: Two streams of fluid are entering a tank simultaneously. The first stream contains fresh water and f...

A: Since, first stream contains fresh water which does not contain salt. Therefore, first stream does n...

Q: dx -x - e

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Q: Classify the number as a member of one of the following sets: the rational numbers, the integers, th...

A: The given number is:

Q: Length of x-interval. In most cases the solution of an initial value problem (1) exists in an.x-inte...

A: Solve it for finding the best possible a and compare it with actual solution. 

Q: Find L{(1- t) (3 + 2 sin 5t)}. 2s 10s - s2+25 (s2–25)? 3 10 10 $(s2+25) s2 (3²+25) 3. 10 20s s7+25 (...

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Q: Simplify. - V4 = 0

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Q: Given a differential equation with certain conditions y (to) = or yfk) (to) = Yk = Yk' the largest p...

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Q: Evaluate the given indefinite integral. Indicate u, n, and du. xdx 3-x

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Q: 15) Consider the following equations of quadric surfaces: a) x = + - 4 b) x? - y? + z? = 4 i) Identi...

A: We need to find surface type and intercepts.

Q: d²y Given the differential equation. + 4y = 0 and the initial dx? conditions y(0) =0 and y'(0) = a, ...

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Q: The definition of the error function also defines an "error term" E(z, y). 15 Find E(x, y) for the f...

A: Given:    x^3 + y^3 = 15/56 xyz     Point : (8,7,57)

Q: For the differential equation 2xdy + (4y - xy) dx the substitution z= -2 converts it to which of the...

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Q: 6. Solve the following problem: kiwis cost 5 coins, oranges cost 4 coins, and 2 grapes together cost...

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Q: If the Laplace Transform of F (t) = vi what is the Laplace Transform of is 4s 2 F (t) = e' vt3?

A: Laplace transform of F(t) = et root t3

Q: 1 Evaluate: cos 2T dT e C. S-3 (S-3)+4 (5-3)² +4 b.5-3 d- 24 s[es-3)°t4]

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Q: Construct an appropriate triangle to find the missing values. (0° s05 90°,0s@s/2) Function e (deg) e...

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Q: The Laplace transform of t" is valid for s not equal to 0 O s0 O s>n

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Q: 6. Determine the Laplace transform of y" given y (0) = 4 and y'(0) = 2. * O A.) (s^2)[ y (s)] – 4s +...

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Q: A 300 liter tank initially contains 100 liters of concentrated orange juice. 10 liters per minute of...

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Q: Fill in the blank with the appropriate word, phrase, or symbol. In the expression 5-/7, the 7 is cal...

A: We have,

Q: 3 sin (t) cos“ (t)dt

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Q: Solve the following initial value problem for  y = f (x). dy dx  =  e−3x, y = 79  when  x = ...

A: dydx=e-3x and y=79 whrn x=0

Q: Given: x'(t) + 2y(t) = - 1 where, x(0) = y(0) = 0 x(t) - y'(t) = 2t Find : v(s) = L{y} 3 s(s² +2) s(...

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Q: Consider the following function. 9(x) = x2/3 (a) If a + 0, find g'(a). g'(a) = (b) Illustrate that y...

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Q: The voltage drop across an uncharged capacitor with a capacitance of 106 farads is O 10 O 106 O 106 ...

A: We have given uncharged capacitance  with capacitance  C=10-6 F Using Formula  Q=CV As capacitor is ...

Q: Find L(y) y" - y = 1 0st< 2 It+1 t2 2 y(0) = y'(0) = 0 °L (1) = + +] -2s e %3| s(s2-1) s2-1 -2s L (y...

A: The given differential equation is: y''-y=1         0≤t&lt;2t+1t≥2;                y(0)=y'(0)=0There...

Q: Find the inverse laplace transform of: F (s) = 6. es.s(n+1)

A: Find the inverse laplace transform of Fs=6essn+1  

Q: 6x + y²) dx + y(2x – 3y) dy = 0 -

A: Exact differencal equation and second eliminate contact 

Q: んんoん the following ir NOT メrue ? . If a is in R and a is not egual to 0, メhen 6.1f m and n elements ...

A: To find that which from the given statement is not true.

Q: P2.B: Evaluate the integral: (x+1)/2 J (x – 1)5/2

A: The given integral is (x+1)1/2 /(x-1)5/2.

Q: Which of the following is a possible solution to y" +k²y = 0 %3D y = ekz O y = 2 cos kx y = cos k² x...

A: