S P(x)dx= -1 Q.2 Evaluate :

Q: d -(3x² + 11)e¬ª at x = –1. dx Evaluate

A:

Q: dy from the equation 3xy? + 42- Y-5 dx Evaluate = 11 when X = 1 2x? –1

A: 3xy2+4yx-y-52x2-1=11 when x=1

Q: dy Q3) Find dx for 3(x? + y?) ² = 100xy

A: Here, the derivative dydx is obtained by implicit differentiation. Thus to find the derivative first…

Q: dy =2x – 3 and y=2 when *=3. What is the value of y when *=4? dx Suppose

A: We have to find y when x = 4

Q: d'Y Find dx X - t? + t 2) Y = t + 3

A:

Q: 10 What is the value of S" F'(x) dx ?

A: Given,            y=Fx         We know that,        ∫abF'xdx=Fb-Fa

Q: r16 dx 3. J2 2xVIn x

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Q: Q1) Find dx for: 2 - (x? + y)? + (x - y?)? = x +y3

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Q: (S(nx)?dx re' 8.

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Q: Q2/ Evaluate: 16 c2 y dx dy 113+x9

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Q: dy Which is the of the equation y = e 2x +3? dx 2 В. х+ 3 С. 2х + 3 O x + 3 2X + 3 2e 2x+3 Option 4

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Q: (d) S ! + de 1 d.x V1-x²

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Q: What is the value of x? 13x T. 65 Sn

A: The figure of the circle is given by To evaluate : The value of x

Q: Q2\ find when y = dx x²-1

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

Q: Q.4 (a) Evaluate (+4+16r²+20x+9 dx. (x+2)(x +3)?

A: Let us solve the integral ∫3x4+4x3+16x2+20x+9(x+2)(x2+3)2 using partial fractions.  The denominator…

Q: Q1. Evaluate by substitution method 2 e*dx 1 – e2x |

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Q: Find dx2 for the given function. y = 8 csc(x) d?y dx2

A: Using derivatives.

Q: dy Simplify your answer. dx Calculate |X| y = x4

A: Given,            y=xx4

Q: Find Hand S for H = c₂(x)+₁(x) (x) d dx S={feC [a,b] | f(a)=0}.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: d?y Calculate dx2 y = e-X + eX d?y dx2

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Q: d-y dx2 Calculate y = e¯X + e* 1?

A: Given, y= ex+e-x Differentiating both sides with respect to x we have, dy/dx = d(ex+e-x)/dx dy/dx =…

Q: Q2) Solve the D.E x²dy + (3xy- 1)dx 0 %3D

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Q: Q2 : Find d'y /dx? Y = xtan (=)

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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: 2k2+3 00 k+ 3 et None Announce A E Px dx F

A: We have to check

Q: dy =2x+3 and y=3 when *=2. What is the value of y when *=>? dx Suppose

A:

Q: d?y Calculate dx² y d²y dx

A: Given, y=2x We have to calculate d2ydx2 First we find first derivative then second.

Q: When you evaluate: dx, The sum of the coefficient of X for any constant n is

A:

Q: dy By separating the variables, solve the equation dx given that when x = 0, y = 0

A: e^y =(e^(- x^2) +1) /2

Q: 4- [10 points] Evaluate Jx²4** dx

A:

Q: c. Find for the above values of t. dx

A: (C) The given functions are y=2+t  and  x=t2-t. Evaluate the values of t for which dydx=2 as…

Q: (1) Find y' (or 2 if y = 1+2 + V3 + v5x? + 7. (or ) dx

A: Given: y=1+2+3+5x2+7

Q: dx J x3 – 2x² + 9 – 18

A: Given problem:-

Q: Q3 / Find d²y/dx² for the following; (5sec 3x) 2. x = t - t3, y = 2t + 5 1. d? dx2

A: The term represents the second derivative of the variable y. It can be obtained by differentiating…

Q: d?y Find for the given function. dx2 y = x - - - sin(x) 9 dzy dx2

A:

Q: dy Q3: Find an expression of for y = (x2)(Vx). dx

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

Q: d²y Find dx ,where y = 5x – 3x²,

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

Q: 3. Find Simplify your answers. dx a. e*/y = x³ + y

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Q: 人p dx find メP 4. Y= 3*J5x+7

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Q: What is the value of Idx? (x-x2)Z x3+1 Evaluate dx ? x2-4 f dx

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Q: dy Q5/ a) Find 2 if y = esin (2x) dx

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Q: d-y if x = t – t² and y = t -t3 dx2 1. Find

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

Q: Find the indicated derivative. dp for p da q2 + 2 49 - 3 dp dq

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Q: dv 了会-f C.. 3. dv dx v'dv 2v+1-V4 t. How did he get the amount?

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Q: Q6. Evaluate S¹, S₂ Sp dz dx dy.

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Q: dx. J x² – 6x + 34

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Q: dy You need not expand your answer. dx Calculate y = (7x0.5 – x2)2

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Q: 26): Find: 1- S Ve dx

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

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: