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Q: Q1: Find a complete solution of each the following equati (D4 + 8D² – 9)y = x² + sin 2x

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Q: How:- Solve 3Y k ti a Yk =15

A: Given 3yk+1+yk=15.

Q: B. Compute itterated integral (hint: use Fubini's Theorem) (Баллов: 2) 1 dA, if R = [0, 1] × [1, 2] ...

A: Topic:-  double integration

Q: Write the following expression in the forms of x+ yi where x and y are real nu (1) +3i - 5i (5 +2)(\...

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Q: 11. Find the linear approximation to given function at indicated point (Баллов: 2) x2 z = 3 + +, Po ...

A: Topic:- linear approximation

Q: Given A : :). Show that k =7 if A + 2B = Go ). Hence identify the -1 8° 19 and B = inverse of B.

A: topic = Matrices

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A: We have to find out the critical points of given p(x)

Q: In(x-1) 33 Differentiate with respect to x. 2x + 3

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Q: TR (Q) = 18Q - 0.5Q? C (Y) = 1500 + 0.75Y AC(Q) = 46 %3D 1.5Q + 4 +

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Q: Prove that planes a-y+3z - 2 0 and 2x 4y-2z-7=0 are crossing via the line L. | %3D Find the directio...

A: Calculation of required Data.

Q: 21) Find the maximum and/or minimum values of f (x, y) = x² + 2xy + 2y² - 6y + 2

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Q: sin'e sec2 0 = sec? 0 -1 %3D

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Q: Find the volume generated by revolving the area enclosed by the curve x? + y? = 9 about the x-axis.

A: This is the application of integral problem

Q: Example Find F[e¬t sin(w.t) u(t)]

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Q: Find the derivative of f(x)

A: Since this is a multiple question type, according to the Bartleby Answering rule, only first questio...

Q: Compute the coefficients of the Fourier series for the 2-periodic function f (t) = 5+7 cos(2nt) +4 s...

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Q: 4 sec 2x tan 2x dx (1+ sec 2x)²

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Q: Evaluate the following expressions. Your answer must be an exact angle in radians and in the interva...

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Q: (a) Given that Ris the region in the first quadrant that lies inside the circle a2 + y² = 9. Sketch ...

A: solution is given below

Q: Graph the following function. Show at least two cycles. Use the graph to determine the domain and ra...

A: Given:- y=-7cscx To find:- Graph of given equation and then find domain and range

Q: Question 4 7s 2s-8 -cosh( 2t) sinh( 4t) sinh( 2t) 7 - cosh(4t)

A: To find:- L-1(7s/(2s2-8)) 

Q: dy +by = 2e +2X + %3D dt dt 2dx +3X + 3 dt dE +8y31

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

Q: use the ,8 de linit of the funchions ho prove that : Lim J19-X =3

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Q: C. If a.b = v3 & a x b =. Find the angle between a and b С.

A: We can find the angle between a & b  as below.

Q: substances were present. After 12 hours the mass has decreased by 6%. If the rate of decay is propor...

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Q: The upper end of the ladder 5 m long leans against a vertical wall. Suppose the foot of the ladder s...

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Q: Let f(z) ) = (z - 6)? Find a domain on which f is one-to-one and non-decreasing. Find the inverse of...

A: Given : f(x)=(x-6)2

Q: A vegetable garden is being planned in between two buildings measuring 20 meters and 45 meters tall ...

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Q: Find the derivative of f(x) =log,5x +4| 5 *f'(x) = (5x +4) In 4 4 Ob l(x) = (5x +4) In4 4 f'(x) = 5(...

A: Here we will find f'(x),

Q: Domain? Range?

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Q: Match the function y = 5 sin5x to the correct graph. (..... Choose the correct graph below. OA. AA h...

A: The objective of the question is choose the correct option.

Q: P2. Find the steady-state charge and the steady-state current in an RLC Series circuit when L=1 H, R...

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Q: prave tha. V.(7xF) =

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Q: find the area baunded by the curves linest ytAx-8 =0 and y=x

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Q: C. sec)

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Q: Find all second-order partial derivatives of the given functions: (c) h(x,y) = In (x² + y)

A: Given; h(x,y)=ln(x2+y).

Q: A large tank initially contains 150 gallons of fluid, with 6 pounds of salt dissolved in it. Brine c...

A: Here we will solve salt present after 45 min,

Q: For what numbers x, -ISxs3T, does the graph of y = 7 sec x have vertical asymptotes? Choose the corr...

A: We have to find

Q: EXAMPLE To illustrate calculations with the unit impulse function, consider evaluation of the follow...

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Q: 0-6 3 Evaluate e*dx by Simpson's th rule, taking n = 6. 1:5

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Q: Sx. dlx find valueof

A: To find the value of k in ∫01xkxdx

Q: D2 – D – 6)y = 0; x = 0, y = 2,y' = 1

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Q: JOES the olwivotive at Julburing func tion hove a o?pleose eploin 20se ーeor

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Q: Consider the following problem; max F(x1 ,X2) = x,x3 subject to 6x + 3x3 = 72

A: Solution is given below:

Q: Solve the followings: 1- L,x exp(-x*)dx 2-So" x²sin (x)dx 3- " stn (x)dx

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Q: Given f(x) = x2 – 8x - 9 and g(x) = x^2 + 6x + 5, use composite (f º g)(x) = f(g(x)) in the  followi...

A: Given f(x) = x2 – 8x - 9 g(x) = x2 + 6x + 5

Q: у" — 2у' + 5у — 0

A: Given

Q: メ)

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Q: 9. Find the direction of zero change for the following function at given point (Баллов: 2) xy + y, a...

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Q: Write the trigonometric expression as an algebraic expression in u. cot (cos u) -1 CoS cot ( cos'u) ...

A: Find in term of u