O Given Fy)= yi (x, y> andl C? P(E) = for 1s¢s4, evaluate S FidP.

Q: For a given table 10 14 y 4. 12 20 dy at r = 2 using forward difference formula. dx Find the value…

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Q: Sclve th initial valu e probi dy + 2 . 3. dx3 dx? Y'c0) = 8 y"(0) = -4

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Q: Given f(x, y) (8a®y + 3xyf). Compute: dx?

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Q: 2.8 S = | f(x)dx =?

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Q: d) Evaluate sech? (2x) e'anh(2x) dx by using a suitable substitution.

A: Given, I=∫sech22x etanh2x dx To evaluate I using suitable substitution.

Q: of e dydx

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Q: Q3/ By using definition, proof that cot x = - csc? x. dx %3D

A: In this question we will use basic of calculus i.e concept of differentability. Solution of the…

Q: Evaluate e* dx dy by using trapezoidal and Simpson's rules.

A: Hello. Since your question has multiple parts, we will solve the first integral by first method for…

Q: H-wlo Find the dliscontinnity point of &cz):

A: Since you have posted multiple questions. I am answering the first one. Please post the question…

Q: Using the Trapezoidal Rule, an approximate value of 5 V(x + 3x)dx with 5 ordinates, correct to one…

A: Consider the given integral.

Q: Sin JxCosx dx =? (e() b) fx'e dx=?

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

Q: ló bé á špěčífić válué ôf l. Fi ind lò si "(t > to ) = 0.01 where df ) 2.528

A: Here it is given that - t0 be a specific value of t. P(t>t0) = 0.01 where degrees of freedom = 20

Q: (b) Find the value of e dx taking n = 6, correct to 5 significant figures by Simpson's one-third…

A: Find the value of ∫00.6 ex dx taking n =6 ,correct to 5 significant figures by Simpson's one-third…

Q: If z = 5x2 + y2 and (x, y) changes from (1, 2) to (0.95, 2.1), compare the values of Δz and dz.…

A: We have to compare the values of Δz and dz.

Q: 4 dx 1+ By using (Answer one only) a- Trapezoidal rule when n=5 b- Simpson's rule when n=6

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Q: +00 1 1 : dx x[In(mx)]3 m+3 8

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Q: al to). Average rainfall of a city from Monday to Saturday is 0.3 inch. Due to fce the rainfall on…

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Q: (c) Prove that L{Cost Si(t)- Sint Ci(t)} Logs s +1 %D

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Q: d Suppose a e R, where a > 0, a ± 1, what is - dz

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Q: While evaluating the approximate value of 13 x dx, using Trapezoidal rule, taking 7 h = 0.5, the…

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Q: Y 80 Measure of Arc XY=

A: We have to find the measure of arc

Q: d Suppose a E R, where a > 0, a ± 1, what is- - [a*]? dx

A: We need to find ddxaxwhere a>0,a≠1

Q: While evaluating the approximate value of x2 dx, using Trapezoidal rule, taking 3 h = 0.5, the value…

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Q: For ey – In x=y2, find the value of so that & (y' – y') = 1 at y =0- O e e

A: we have to find

Q: Suppore velue fx) = x". Find Hhe valhe %3D fli.0) using finst-or for appresimaton

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Q: Calculate MN and TN for the value of N indicated.

A: Solution Given∫0π2sinxdx   , N=6we need to find the MN and TN for the value of N indicated.

Q: calculate MN and TN for the value of N indicated.

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Q: Suppose z is a function of x and y, and a? – y? = 2"e6y. Solve for dz dx

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Q: Eva luat at the given Value of t; 上 W= X+y x =cost tsits y ecst-Sint

A: Solution: The objective is to find the derivative of the given function

Q: a/ tangent s lope rasinczo) ) when e zT 9. 父 A dy do 2 517 dる 2. fhe D not of tne above

A: Given,  r=sin (2θ) Recall:  Slope, m=dydx

Q: 5. Given y = af(+ 1), Find when x=1 if f(2) = 4 and f'(2) = 5. dx

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Q: cln 2 In 5 e2x+y dy dx Jo 1

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Q: d Suppose a E R, where a > 0, a + 1, what is [a*]? dx

A: We have to find derivative of ax

Q: if x = acos30, y = asin30 , find /1 + 2 dx

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Q: eg Show thaf Full likely hod ven by W - M

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Q: dy Find for the following function dv y = In cosh v – tanh? v

A: We have to find dy/dv by using derivative of hyperbolic functions.

Q: dy x fanx

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Q: 5. Fied ť+, y= t*+t for t=-l equatin ef the lagest limye te the Cume an

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Q: If x= Arctant, y=. 2ay" =17 when t=V2. 1+76, find the value of a if y' В © VE E -2/2

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Q: If z = 9x + y² and (x, y) changes from (1, 3) to (0.95, 3.1), compare the values of Az and dz.…

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Q: e*dx by dividir a Simpson's rule i-

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Q: d Suppose a E R, where a > 0, a ± 1, what is[a*]? dx

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Q: Given h(s, t) = s In t – t ln s. What is the value of h(e, 1)? %3D

A: topic - functions

Q: 3 Given that ex dx = e³ – e, use this result to evaluate 7ex + 4 dx.

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Q: QA Find d for y = tanh(coth(x))

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Q: differen tiatin, de tomine dx リ= (aH) (xs) 5 (as) (x-+)

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

Q: Why is e^x selected as u and not e^2x (to get du /2 = e^x dx in the problem attached?

A: Consider the integral  ∫e2xe2x+3ex+2dx

Q: If y = tanu, u =v--, and v= In x, dy at x= e? what is the value of dx

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