If f = 5x²y² - af at (3,1) XY then find O 28 O 20 O None O29

Q: Evaluate 11-x [[ x³y²¹ (1-x - y)²dy dx -10 9π/25 O 1 Non of the above O TU 9π/28

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Q: Ex If 3=Nメ+J文 3-(x「x)文 find ý (de)

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Q: Let f(x) 2x -1 then f(x) is x2+1 O(Vx) O equal to the above O None of these O équal to C1) O equal…

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Q: 5. If f(x) = 2x² - 3 and g(x) = 2 sin x, determine (fog)(x) and (fog)(2), 0≤x≤ 2n.

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Q: H.w Exl Let f(x)= 4x+2X+243and go)=3x+3x+3xx +4, where 2. t. f(x),900€75LX] Compute POX) +g (x).and…

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Q: 18. Find (f g)(x) if f(x) = 7x°-5a2 +42x- 30 and g(z) = 7x-5. %3D O (f-9)(x) = 49x 26922 150 O (f…

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Q: 3 Q.19: Find f(x) = 3x2 + 3x +1 for A = 1 2 1 [2 1 o]

A: Here A=163121210So,A2=163121210163121210A2=1321951153147

Q: 10. If f (x) = 2x(1+In(2x)), and f'(c) = 6, find c.

A: Given function is fx=2x1+ln2x. Product rule of differentiation states that: ddxuv=vddxu+uddxv…

Q: If we use the secant method on f(x) = x+x3+3 with X-2 0 and Xn-1 = 1, then Xn is_

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Q: If the function u = ln (2¹+2²4-7² I-Y O2e^u O e^2u 0 2 O 1/2 O Other: then x + y sy Sx is

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Q: If f(x, y) = 2x+6 (2a-6y) of then is given by:

A: In the above question we will take y as constant since we have to partially differentiate it with…

Q: If f(x) = g(x) J. (Ax) + g(x)]dx= + 7 for 3<xs 5, then

A: givenf(x)=g(x)+7thenI=∫35[f(x)+g(x)]dxsubstitute value of f(x)I=∫35[g(x)+7+g(x)]dxI=∫35[2g(x)+7]dx

Q: If u = f(x), then ſ dx x++2x²+1 k + C for some constant k . Compute kf(1). x2+1

A: We have to find kf(1) Given that: u=f(x),∫xx4+2x2+1dx=kx2+1+C  for some constant k

Q: If f(x, y) = 4x² – 7xy + 3x, then is given by: af - O 8x 8x – 7x + 7y + 3 - O 8x 8x – 7x – 7y + 3 -…

A: The solution of the problem is given in the next step.

Q: Find y' to 3 |х — 1 O y = In x2 O x² In V3x + 5

A: Here we use logarithmic properties ln(mn) =n(ln(m)) ln(m/n)=ln(m)-ln(n)

Q: If f(x) = 3z – 2z -? tan (z), then f'(1) = %3D Select one: O a. 10.5 ОБ.11 Ос. 16 Od 15.5

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Q: Find f"() if fx) = 2e* - %3D e* In 2 Ob) 20 2e* O c) 2e O d)

A: Recall:     d(eax)dx=a.eax

Q: If f(x) = V4x + 1 find f"(2). O 4/27 O 213 None of these O 2/3

A: Topic:- Derivatives

Q: IS T Mene (R) -7 Pz(2) defined by T()= a +2bx+ (C +d )x² In lerti ble ? If so fiad its inverse thet…

A: The answer of given question is given by using some properties of inverse linear transformation.

Q: 1 Evaluate f dz f dæ f ez dy. О 63 О бе-6 бе/3 O (6e-6)/3 O 6

A: Explanation of the solution is given below...

Q: If f(x) is defined as: 9x + 2x, 1<*s2 2 <x < 4 f(x) = 2, then, f(x)dx = 30. Select one: O True O…

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Q: * Let f(x) ={ ,x<2 Find a and b so that f'(2) exists. ax+ b X22 O a =24; b=-12 O a=12; b%= - 16 O a…

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Q: Find the convolution of (a) Ila * IIa. (b) f(x) * f(x), where f(x) = e-l=l, -0 < x < o. %3D

A: Convolution : The convolution of two functions f(x) and g(x) is given by f(x)*g(x)=∫-∞∞f(y)g(x-y)dy…

Q: If f(2) = (x² + ay² – 2ry) + i(bx² – y² + 2xy) is analytic, then val | elect one: O a. 1, 0 O b.…

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Q: 2x + 3 f(x) = In %3D 7r – 7 f'(x) =

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Q: Express in the form x + jy Q7/ (2) In(3 – j)

A: Solution:-

Q: Q2) Is the ODE separable or non dy x² + 3y2 2ху

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Q: For f(x) = x3, If fx)dx =2f(c), then %3D 1 A O 1 BO X = + [2 X = ± 2 CO .D O None

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Q: Suppose Im(f(z)) = 6x(2y -1) and f(0)= 3 -2i, f(1) = 6- 5i. Find f(1 + i)

A: Complex function

Q: If y = exp(-x²) show that = -2xy and hence prove that, for n > 1, y(n+1) + 2xy(") + 2ny(n-1) = 0.…

A: Given that : y=e-x2. Therefore,  dydx=ddxe-x2=e-x2.-2x=-2xy  , as y=e-x2. Hence proved that…

Q: (11) If f(x) is a p.d.-fand fla)=√ at ² 04x61 Ind the value of a ae 12x ≤2 O elsewhere

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Q: Calculate M6 for f(x) = √7x on [0,2]

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Q: Q 4. (a). Show that fog = 4x² – 1, if f(x) = 4x – 5 and g(x) = x² + 1.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Describe the long run behavior of f(n) = 4n° - 2n8- 5n° +1 %3D As n - 00, f(n) → As n 0, f(n) → ? v

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Q: 23. If f(x)= 3x2+2x+1, find f'(2) O 6x+2 O 14+3x O 14 O 2x+1

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Q: Use f(x) = 2x – 4 and g(x) = 5 - x2 to ev %3D (a) (f o f)(x)

A: fx=2x-4gx=5-x2

Q: 3. Compute the iteration for the function f(x, y) = 4x³ + 6xy? R=[1,3]x[-2,1]. on the rectangles

A: Double integral over the function

Q: 30. Show that if F = xi + yj + zk, then ▼ X F = 0.

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Q: Find KCKT) if XC2) is given by: 3. XCZ) = (Z+1)(Z-1)

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Q: • In z Find F" (2) if F(x) et dt a² _4 O A. 1 O B. 0 Ос. -2 O D. -4 O E. –3

A: Given:         Fx=∫x2-4ln xet dt                 =etx2-4ln x                 =eln x-ex2-4…

Q: Find the inverse of f (x) = 2 –5. - Of (x) = 5x - 2 %3D of (z) = %3D Of (2) = z +; || O T = 2y + 5

A: Topic- function

Q: Given f(x, y) = 6x²y – 5xy*. Compute:

A: This question is based on Partial differentiation.

Q: Compute f(x) and f(x) dx for the function f(x) = ∞  ∑…

A: f(x)=∑n=0∞x2n2n !.....(1)This is the well known series of the cosh(x)cosh(x)=∑n=0∞x2n2n !Now as we…

Q: Express f(x) =|x| 1 Σ %3D 4 96 '(2n–1)* n=1

A: In mathematics, a Fourier is a periodic function composed of harmonically related sinusoids,…

Q: Given G(x) = jin(2t+1)dt , find G '(x). O In(2x + 1) O In(2x + 1) - In3 O In(2t + 1) + C 2 2x+1

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Q: Ex . If x is adisc. r.v, Such that :- Ex) :2 Vor Lx)= 5. find: O EL-2x -1) e var (-2x- ) O E(x)

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Q: Find the torolrootsS 1.X +2=0 2x-3x+ム=O 3.X22=D0 4.(X-3)=-ム 5.(x+1)を 6.-3x+19X-2ム=O 7.Xー3=1 8.1.5X=6…

A: According to the guidelines issued by the company we are supposed to answer only first three sub…

Q: 2 If f ( x ) = x ² - x - 6 and g(x) = x - 3, find f(x)/ g(x) Select one: O a. x+3 O b. x + 7 O c.…

A: Topic - Functions

Q: Find (f o g)(x). f(x) = 5x - 2, g(x) = – x² + 4x - 1 O -5x? +20x -7 %3D %3D |3| O -25x2 + 40x - 13 O…

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Q: If f(x) : 2x find y' O xy² + 1 O x O 2y-a O - {(y – æ) O None of the above

A:

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.