Simplify by factoring. V18

Q: dy The differential equation dx = y³ (1+ln x) - is O variable separable O Bernoulli's equation O lin...

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Q: Slope of the normal to curve xy-3x+2y=1 at (3,2) is? Please solve it in steps! Grade 12.

A: Find slop dy/dx=m

Q: Tan -30  find the exact value of each trigonometric function

A: The given trigonometric function is: tan(-30)

Q: Applying variation of parameters to the DE: y+y tan x, we get the following system of equations: u c...

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Q: The demand for a certain commodity is D(x)  =  1000e−.02x units per month when the market price is...

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Q: The stopping distance of an automoble, on dry, level pavement, traveling at a speed v (In kilometers...

A: Consider the given table, Let, the linear regression model for Rv be, Rv=a+bv By using graphing uti...

Q: Given the equation sec x tan x S - Vsec2 x – 1 dx

A: Given,            ∫secxtanxsec2x-1dxTo find : Simplify the given equation.

Q: To make a potato salad, a chef cooked some unpeeled potatoes in boiling water at 100°C. Once the pot...

A: The correct answer is option (A) i.e. t = 11.4 minutes

Q: y(s) =. (s+2)² +1 e" (cost – 2 sin t) -2t e" (cos t – 2 sin t) O A.) O B.)

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Q: BASIC PROPERTTES OF INTTE RATION IHTEGRATE THE FOllowING:

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Q: y" +y 4 Sin x 3 = 2X ナ

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Q: 2s-4 Given: F (t) = L-1 Find: F (0) s2 (s+4) O-3/2 O 3/2 O 1

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Q: Use the definition of derivative to find f'(x) and f"(x). f(x) = 4x2 + 8x + 3 f'(x) f"(x)

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Q: Find the exact value of each trigonometric function  16. Sin -225 degrees  18. Sec -360 degrees  ...

A: Given: To find- Sin -225 degrees  Sec -360 degrees  Cos 300 degrees 

Q: 4. Find the radius and centre of curvature of the curve x = (1 - at) cos t + a sin t, y = (1 – at) s...

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Q: Find the Laplace Transform of the piecewise function. (2 ,0<t<4; w(t) = { í 1? ,t 4. O 252+e-48 (2+8...

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Q: [(30oshm +e coshm sinhmdm +eoshm 4.

A: First we put cosh(m)=u and differentiate both sides with respect to u and solve it 

Q: The roots of 6x² +7x + 34 = 0 are: Real and Equal Real and Distinct Complex and Unequal Imaginary an...

A: These questions  are related to algebraic operations, we will solve it using given information. 

Q: Given the differential equation y" +3y + 2y =D Which of the (1+e²) following equations result after ...

A: sOLUTION IS GIVEN BELOW

Q: dy If the differential equation dx is solved via the substitution z = u-, the resulting equation is ...

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Q: There exists a solution, F(x,y)=Dc, to (2- 2aye) da – (2ye + 3 sin y) dy = 0 such that - OF 2ye 3 si...

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Q: 2dt (t – 3)vt2 – 6t +5

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Q: 8) Determine if the line given by r(t) = intersects the xz-plane. If so, determine at what point.

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Q: Find the L{y(t)}, given the initial value problem y" + 4y' +5y = e"; y(0) = 1, y'(0) = 2 %3D 10 (s–1...

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Q: d'y Given the differential equation, dx? dy 2y = e2" sin(2x) cos(2x), the propsec - dæ particular so...

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Q: L{(1+t")e*3t}=

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Q: 2dt J (t - 3)V2 – 6t + 5

A: Given that: ∫2dt(t-3)t2-6t+5

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. dx =

A: Given: I=∫-∞-3e5x1+e5xdx   We know that; ∫1ax+bdx=1alnax+b+C

Q: Let Ā = (2, 5, 3) and B = (-1,2, 1). Find Ã × B. %3D А. i + 53 – 9k В. -7 - 53+ 9k С. 117 - 3 -k D. ...

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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: 1.A man is 4 years older than his wife and 5 times as old as his son. When the son was born, the age...

A: According to company rule we can answer only first question and rest can be reposted.

Q: dy Given the DE 6y? x , the general solution can be expressed as; dx 12x2 + C O 1 3x2 + C 3x2 + C - ...

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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: 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: 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: Which of the following differential equations is exact? O (cos xy + xsiny) dx + (y – cos x + sin y) ...

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Q: L{(1+t")et}= (1+) () n! sn+1 s-1 1 n! s+1 (s-+1)까+1 n! s-1 sn+1 (1+)() n! sn+1 s+1

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Q: Explain, with an example, the difference between a permutation and a combination. (Show your work fo...

A: Permutation:  Permutation is a mathematical techniques which is used to determine the number of arra...

Q: Find the slope of the line passing through the pair of points or state that the slope is undefined. ...

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Q: L{(1+t")e }=

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. (...

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Q: 9. Which of the following is NOT true about the set 2N = { %3D 2, 4, 6, 8, 10, ...}? * O A.) It is b...

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Q: s2+10s+34 2s+10 If F (t) = L-1{ find F (0) s2+10s+34 O -2 o 1 O-1 o 2 Previous Nez

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Q: Express the following differential equation in terms of a differential operator: dy 4- da2 dy + 4- -...

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Q: 14. If y = f(x) is a solution to the differential equation = e* with the initial condition f(0) = 2,...

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Q: Find the intersection of the plane: x - z = 6, and the line r(t) = (1,0, -,1) + t(4,9,2)

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Q: A 10-ohm resistor and a 5-Henry inductor are connected in series with a voltage source rated at 20 V...

A: use ohms law and Kirchhoff law for finding the right option.

Q: Let f(x) = ln(x). Find the equation of the function g whose graph is the following transformation of...

A: We need to find g(x).

Q: f'(x) = State the domain of the function, f(x). (Enter your answer using interval notation.) State t...

A: Given that fx=14x-18 find the derivative using definition  and also the domain of f(x) and f'(x)

Q: Why must n2 r in the notation nCr?

A: Topic = Algebra