Evaluate the given function ysin20de = dy + sin?0dy is equal to. А.2 — су %—D сosө В.2 — су — соs?0 C.2+ cy = cos²0 D.None of the Above

Q: Evaluate ∫y0ksin(kx−π)dx where y and k are independent of x, and y is given by the solution to the…

A: Given:

Q: Q2: Find the 1. y = 1- 2. y [In(x² + 2)²]³ 3. y = xcsex tan² (cos x) 4. y for the following…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Evaluate: J x?cos(2x)dx

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Q: y-(x-5)2 + Sin-l XY 4.

A: To expand: y-(x-5)2+sin-1xyx+5.

Q: HW3 Find dCSe tsinht sint dt)

A: Laplace transferom of Integrals

Q: a) L 8(t) cos(48tt) dt b) 8(t – 5) cos(nt) dt c) L[8(t +3) – 28(4t)]dt

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Q: If z = x?y + 3xy, where x = sin 2t and y = cos t, find dzidt when t = 0.

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Q: Evaluate : L[t cos h 6t]

A: To evaluate: Lt cosh 6t

Q: 3. Differentiate the following with respect to the variable: a. y =-2 Lnx – cos 5x + 6 sin 2x – 2 x²…

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Q: If z = +i then Im(coshz) A) –sin1sinh4 B) cos1cosh4 e* +e* C) cos1 2 D) sin1cosh4 E) sin1

A: Topic:- hyperbolic function and complex number

Q: Which of the following is equal to J: x2 dx ? A. sin-1 (t) + € B. sin- (t) + € Option 1 O Option 2…

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Q: Q;: Find for the following functions: - 3) If y = sin(2n), and x = cos(2n) 4) y = 2sinh(Incosh(x))

A: (3).   Given function: y=sin(2n)       and        x=cos(2n)

Q: Which of the following is the form of a particular solution of y" +4y' = 3e2t + cos 2t + t? %3D

A: We have to find the particular solution of given diff equation.

Q: Q2: Which of the following statement is TRUE for the trigonomets function given below: y = -4 cos…

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Q: 2. Evaluate (x2 – 1)e" dx T/2 3. Evaluate cos (0) d0. Write your ans"

A: Consider the integral- I=∫01(x2-1)exdx =∫01x2exdx-∫01exdxLet I=I1-I2—(1)Where ,I1=∫01x2exdx and…

Q: 4. Find the derivative of the following: v(t) = 2sin? (7t) + 4 a. 28 sin(7t) cos (7t) b. 4cos (7t)…

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Q: B. Which of the following functions are of exponential order? 1. cos 5t 2. 1000e2020 t 3. t3sin 2t…

A: To find the exponential functions from the given functions. The exponential function is of the form:…

Q: After many years in business,the financial analyst of a shoe company projected that the monthly…

A: To determine the month when profit is zero.

Q: Find an antiderivative of the given function. 7 cos 2x

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Q: If D=d and Y= Cost The Cos X =

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Q: C. Find y for the following: 1) y = x¹e³x tanx e4x 2) y = x³ cos2x 3) y = xx.sinx

A: Given: (1)  y = x4e3xtanx (2)  y = e4xx3cos2x (3)   y = xx· sinx

Q: Which of these will represent u in the function * y= sin -1 Vx2 + 3x + 4? Sin-1 а. du V1-u?

A: Using definition of composite function.

Q: Determine the value of the arbitrary constant C: e" (ev – )cosa )cosa dy el sin2x, y(0) = 1 Select…

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Q: Which of the following is equivalent to: na ("e-"e cosh t dt 2 L [cos h t] L [e* cos h tl L [e #cos…

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Q: 4. g(t) = e³t + cos(6t) – e³ªcos(6t) 5. f(t) = tcosh(3t) 6. h(t) = t²sin(2t)

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Q: 3. Evaluate L{4e-2tt3 +t sint cos t}

A: L4e-2tt3+t sint cost

Q: Given 5y + cos(3y) = x³ Implicitly find dx Select one: 3x Sy²+sin 3y a. 3x O b. 5y²-sin 3y C.…

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Q: /4 (6) Evaluate I cos y dz dr dy = A. B. C. D. A

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Q: Q2: Evaluate ſGeascos² (y s) ds. COS

A: Using cos2(bs) = (1/2)*(1+cos(2bs) And integrating using by parts.

Q: i?? cos(2t) dt csc(10t3)

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Q: Find the solution of the equation cos y ax' ay? which tends to zero as x> o and has the value cos v…

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Q: Evaluate S eas cos?(y s) ds. V2

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Q: Determine ?? using undetermined coefficients: 1. y'' + y' + y = 2xex

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Q: What are the values of and cz so that y(x) = cq sin(x) + c,cos(x) will satisfy the conditions y(0)…

A: Given y (x) = c1 cos(x) + c2 sin(x)and y(0) = 1,   y'(π) = 1

Q: Rewrite (6x + 9) cos (x + 3x) dx using substitution of variables. o /3 cos udu o / 2 cos udu o / cos…

A: The given integral is: I=∫6x+9cosx2+3x dx

Q: For which values of t is the curve concave upward? x=cos(2t) y=cos(t)

A:

Q: f(t) = e3t + cos 6t – e3t cos 6t ; L{f(t)} =? %3D -

A: given ft=e3t+cos6t-e3tcos6t

Q: '(s) (c) y= sv1– s+ cos

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If P = 2 sin(10t + x − π/4)ay and Qs = ejx (ax − az)sin πy, determine the phasor form of P and the…

A: Given- If P = 2sin10t + x - π4ay and Qs = ejxax - azsinπy To find- Determine the phasor form of P…

Q: Q12) If w=f(a,b,c)=cos(ab)sin(b)+c, what is at ( -,6 )?

A: Given ,fa,b,c=Cos abSin b+CPut 12,π3,6i.ea=12 ; b=π3 ; C=6

Q: Suppose z is a function of x and y, and tan Vy? +x² = ze6y. Solve for and dx ду

A: Here, given that z is a function of x and y and tan y2+x2=zxe6y⇒tan y2+x2=ex ln ze6y...(1)

Q: 1 evaluate y' when x = 1. 4 For cos2(xy) =. A - 3 6 C 6. D - -- 3

A: Solution

Q: Q4: Evaluate L(t cos(3t)).

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Q: (be + 10a9 – 4 sin a)da 5e* – *10 + 4cos * +e 5e + a10 – 4 sin a + e 5e + a10 – 4cos +e 5e" + a10 +…

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Q: If L(ešt + cos(3t)) = As²+Bs+C (s–5)(s²+9) the value of C is

A:

Q: Which of the following equations has solution = = f(cos(x- y)) ? Ob. + 2:, +, =0 , =2:,:, Od -2:, +…

A: Differentiating the equation and try to eliminate variable to form differentiation equation.

Q: (f) If w=4x² +4y² +z² ,x= p sinø cos0, y= psinøsin0 , z =pcosø, Əw find and ap

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Q: (os(t) 2 = Ste S₁ canned with CamScanner cos(+ sin(t)) dt

A: F = 12π∫02πecost·cosπ3+sintdtThis is a complex integrand, hence numerical technique is used. F =…

Q: Q4/ a2w a2w Find and where w = sin(xy) cec(cos(x+y)) дх ду ду дх

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Q: The monthly sales S (in thousands of units) of a seasonal product are modeled by the following…

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.