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Q: Evaluate 1/2 dt O a. T/2 TC n/16 Od. 7/8

A: This is integral by substitution. As given in the hint we can substitute u=t2 to solve the given…

Q: Z -IN 2 XZ a. 2 Z C. Z N/W Ob. 1 - 3 2 d. Z 3 √z =

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Q: 1 Evaluate f fp2 f (x, y) dædy where f (x, y) (1+æ² + y²)?

A: A polar coordinate system contains a reference point and a reference direction. The reference point…

Q: Find dy for each of the fo llowing (4) y In (tax? tbx +c )

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Q: 7. Find Lt V1+P

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Q: Show that : sup {reQ:r<a} =a, for each a e R. %3D

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Q: * H.W Let f:AC, 9:B D be two functiens sit flx) = 96) ha fug: AUB CUp VXEANB then defred by:. %3D…

A: SOLUTION- SolutionA Rlation R:X→Y, where X and Y are setsis called functions if each element of x…

Q: being dumped fuom of lo cubic feet Per he Suape of arisht ciro of the to o-6 (bothare growing…

A: To find-How fast is the height of the pile is increasing when the pile is 4 feet high.

Q: 4 - find the absolute max. and min. o f the function f = x² +y? on the close d triangle Plate boun…

A: We have f(x, y) = x2+y2

Q: Evaluate dt 13. 1 - sec t

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Q: Q.2 Use ODE methods to solve the PDE: U₁+U₂=5, U(0, y) = −5,U¸(0, y) = 3y

A: Introduction: When the variable in a differential equation consists of a dependent variable that…

Q: When x = 2s+7t, y=5st and z= 3.x2 – 3, in the form of s and t. express

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Q: Mesday, Feburay Z 3y 7₁ x + ³y = 5 3 -x-y=-3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: O which of The Folowmy ODES ane Linear or y-lmear. Abo show hei orders and degrees . (E+2m L²= 10…

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: Which of the following is the true match for cartesian equation and the corresponding parametric…

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Q: The function f(x) = |ax - b| + c|x| : x in (-∞, ol where Find the

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Q: dy 4. x dr x³ – 2y, given x= 1 when x3 47 y = 3 - 3 15x2

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Q: y = V5z – 8 a. 2/5z-8 b. 2V5z -8 c. Does Not Exist d. 5

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Q: dz Suppose z is a function of a and y, and tan Vy2 + #² = 2"¢&v. Solve for dz and dy

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Q: juith Y>o the Capecto of r erdex differentiable Scenction u of exder[Y Dultle is given with…

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Q: Valero's 5k Fun Run was held yesterday in the downtown district. The top runner 4 runners (one of…

A: Given 1. Ralph finished 1 minute after the competitor in the white shirt. 2. The competitor in the…

Q: F'{le }}= Select one: V2iz O a. e O b. None of these C. /2x O d. re 2z2 O e. /2m

A: The Fourier transform of the function f(x) is represented as F(λ), it is defined as ∫-∞∞eiλxf(x)dx,…

Q: d K, d1 + d. +... + K, 2 n K, K, 1 n

A: Let d=d1+d2+....+dn From Cauchy Schwarz inequality , we have- d1k12+d2k22+.....+dnkn2…

Q: Ax → Ar y=f(x). 30 -3 -2 3 6.

A: We have to determine that at which value of x given function is not differentiable

Q: Q4: Find frr, fay, fyr and fy for f (x, y) = e*ly

A: We have to find double partial derivative of given function.

Q: b |a Let d e f = 2 h i lg а b Then |3d + a Зе + b h 3f + is: i

A: By breaking the matrix we solve the following problem

Q: /- Solue 4ind partice the following DES asd where possible ((x+j) +

A: Y(X)= -x/2+c/x, where c is a constant. This is the general solution. Since initial conditions are…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.