Vx2 – B2 Assuming B + 0, compute dx in terms of B.

Q: dy You need not expand your answer. dx Calculate 5x2 - 9x + 19 y = 2x + 4

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: Question included in the image

A: We have to factor 54-3x-x^254-3x-x^2=(6-x)(9+x)

Q: d²y Find dx2 for the function x²y² + 6xy 17 at the point (2, 3)

A: First find the first derivative at that given point than take the second derivative.

Q: finn D2:- knowing thet fcxy,Z)= tavm of C in dx そ= X+y Z= X

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Q: The spread of a virus is modeled by V(t) = -t° +t² + 12t, where V(t) is the number of people (in…

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Q: Evaluate the Ś Ŝ (x²+2xY+ y% ) dy de when Step Size of xz0.2 and step of y=o.5 ? (use -> Trafezoi…

A: let f=∫01∫02x2+2xy+y2dydx with step size h=0.2 we have x0=0.2 , y0=0.5 fx0,y0=0.22+2×0.2×0.5+0.52…

Q: Find the B.C.R let XXgg, Xn vN (@,1) H:0-2

A: We have to find the best critical region which we will find by using neyaman Pearson lemma.

Q: (D² – 10D + 34)y = -cos3x

A: First we find complementary function then find particular integral.

Q: rx dydx Vx2+y2 0.

A: We solve this double integration problem by substitution method as given below in solution

Q: dx 19. Evaluate using substitution f V5-4x-2x2

A: I have used method of substitutions

Q: J1 x²+f(x) dx < o? Justify your answer by either showing it is true or providing a counterexample.

A: .   L

Q: d³y and dx ' dx2 dy d²y Find from: dx3 3. x = V1 - t and y = t³ – 3t |

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Q: (у + /x2 + у2)dх — хӑy; when х%3D V3, у %3D 1

A: substitute value of x and y in the equation to find the answer

Q: Find ay in terms of x and y. dx2 x?y2 - 8x = 3 d²y dx?

A: Given that x2y2-8x=3. Differentiate both sides of the above equation with respect to x as follows.…

Q: Q2\ find when y = dx x²-1

A: y=xx2-1⇒y=x12x2-1⇒y=x1212x2-1⇒y=x14x2-1

Q: d(x) = 5x(t 2d(t) %3D

A: Sol

Q: | d²y +y³ = 0 dx² is not linear. صواب İhi

A: True

Q: Calculate the LOS of y = -x² + 4 LOS is x = a is b is c is

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Q: Evaluate fo (36 – z') (1 – 2*/3) v36² x2 dx -

A: Solution is here

Q: Q5) Evaluate xe¯*dx a) 1 b) e2 c) divergent 3 d) e2

A: Given: ∫2∞xe-xdx

Q: d²y Find if y = , dx2

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Q: dx Cane:2e-25x

A: 13)

Q: Q7 Find dy using substitution: dx y = csc-(x3 + 1)

A: Put u=x3+1. Then, du=3x2dx Therefore, the expression y=cosec-1(x3+1) becomes,…

Q: D. Compute in terms of x and y. dx

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Q: V16-y? /32–x²–y² V 22 dz dx dy

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Q: Determine the antidifferentiation of (3xc + ed - (4/x)) dx  (where c; d are real numbers and c does…

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Q: (3x*-5)(2x +9x-6 of y= dy and %3D Determine the 7x

A: Simplify the equation. y=6x7-10x3+27x5-45x-18x4+307x5=67x2-107·1x2+277-457·1x4-187·1x+307·1x5

Q: d²y Given that x +y³ = 2, prove that dx2 4.

A: Given: x3+y3=2   As we know that; The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

Q: Use the chain rule to show that for a>0, x>0, d/dx xa = axa-1

A: We know that,The derivative of a function f(x)=xn usingpower rule is given asf'(xn)=nv(n-1), n&gt;0…

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: If y=(x+1)(x+2)(x+3)(x+4), then d5ydx5=0

Q: find in terms of x and y. dx 18) x =-4y+2y

A: x2 = -4y +2y3 To find dy/dx in terms of x and y

Q: ;F · dř = Sc(-5æ + 4y³) dx + (x³y) dy, what is F?

A: In this question, the concept of line integral is applied. Line Integral The function to be…

Q: 6. (D2 – 6D + 8)y = e2x + sinx %3D

A: The given differential equation is: D2-6D+8y=e2x+sinx   So, the auxiliary equation is: m2-6m+8=0

Q: d²y Find dx ,where y = 5x – 3x²,

A: we have to find the second derivative at x=1

Q: Find EF in the trapezoid. x+6 A, 2x EF =

A: Given trapezium of ABCD, Given AD = x+6 EF = 2x BC = 0 From midpoint segment theorem, EF = (AD+BC)/2…

Q: Find d'y/dx2 implicitly in terms of x and y. x²y – 4x = 5 d²y dx „2 II

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Q: Find d'y/dx2 implicitly in terms of x and y. x?y – 6x = 8

A: Given  x2y - 6x = 8 We have to find d2ydx2 implicitly in terms of x and y.

Q: +j =6- d 5x+(/x + %3D dx x² 2.

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Q: f of If dx + In(7y), what is ? - дхду Select one: 1 7. а. дхду y y b. дхду - y + 7e?y С. дхду 1+e7y…

A: Option E is correct.  Make x constant

Q: Evaluate [(x² +2) dx , using Trapezoidal rule, by taking N = 8.

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Q: dx Find So 13 V(1+2x)²

A: Let I=∫013dx1+2x23 find out the integral value of I

Q: d'y Find implicity in terms of x and y dx? x² +y² = 4

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Q: d³y Find dx3 where y = e*(8x + 1)

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Q: dy is If x? +2xy= y2, then dx A 2x+2y X-y B 2(x + 1) X +1 + |>

A: Given: x2+2xy=y2 The objective is to find dydx

Q: d²y If y = x Inx , find dx²

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Q: Find d2y/dx2 for y = tln(t) + 9t, x = tet + 1.

A: Given,        y=tlnt+9t  and  x=tet+1

Q: ationalize the d V49

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Q: dy b. If y = V(B1e* – B2 x³ + B3 x + B4 + In(x))5 , then find the dx A1=1 A2=5 B1=4 B2=6 B3=2 B4=1

A: