Question

16 8 (2,4) is differentiable function then,
lim f (2,4 + 3y ) - F(x,y
3y to
gy
B) af
AN
22f
dze 2
None of the above
of f
ay​

Answer 1

Answer:

Find value of k.

2x

2

+kx−5=0 & x

2

−3x−4=0

→x

2

−3x−4=0

x

2

−4x+x−4=0

x(x−4)+1(x−4)=0

(x+1)(x−4)=0

x=−1 and x=4

→ one root is common

∴2(−1)

2

+k(−1)−5=0

∴2−k−5=0

∴k=−3

Or

2(4)

2

+k(4)−5=0

∴32+4k−5=0

∴k=

4

−27

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Fundamental Theorem of Definite Integration

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∫baf(x)dx=ϕ(b)−ϕ(a)

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Examples: ∫42xx2+1dx

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Definite integration by substitution

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Examples: ∫10sin−1(2x1+x2)dx

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Property 1: Integration is independent of the change of variable. ∫baf(x)dx=∫baf(t)dt

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Property 2: If the limits of a definite integral are interchanged then its value changes. ∫baf(x)dx=−∫abf(x)dx

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Property 3: ∫baf(x)dx=∫caf(x)dx+∫bcf(x)dx

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Property 4: If f(x) is a continuous function on [a,b] then ∫baf(x)dx=∫baf(a+b−x)dx

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Property 5: If f(x) is a continuous function defined on [0,a] then ∫a0f(x)dx=∫a0f(a−x)dx

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