클 ~D f(x) = x² e² е (12) Find f '(x). f'(x) = x²²²e² + e² 2x² f" (x) = X

Q: -1-y 3) Evaluate the integral dxdzdy?

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Q: / Find Lim X. tan' 2 X X-100

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A: If fx, y=x2+y+4, then to find ∂2f∂x2 and ∂2f∂y∂x.

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Q: 4. (a) Find L 5t cos at - e³ t (b) Find L te cosh 7t].

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Q: OLA: Solve the following system by (method of inverse) 2x₁ + 3x₂ = 5 x₁2x₂ = -1

A: Given problem:- Solve the following system by (method of inverse) 2x1 + 3x2 = 5 x1 - 2x2 = - 1

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A: This question is related to Limits, we will solve it using given information.

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A: Given: f(x)=4x2-6415, -7,6

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Q: However, the answer is (1/2, 0).

A: Given curves:- y=x+2 , y=x2 -4  find center of mass

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Q: Prove the statement using the €, & definition of lim(x² + 2x - 7) = 1. →2

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A: This question is based on graphing a function from its principal function.

Q: an = arn+1 an = arn-1 * The general term of geometric progress Option 4 O Option 1 an=arn a" = arn-1…

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Q: Find f'(a) at the given number a.  f(x)=(6x+7)1/2 ,  a = 7

A: Use derivative

Q: 5. Find L¹ s-1 s³ -10s² +24s

A: To find L-1s-1s3-10s2+24s.

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Q: Solve: y'' - 4y' + 4y = 3e ^(2x) Show all work clearly please.

A: See the details solution in below

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A: Given vectors:- a=-1,2,-4 b=2,-4,-8

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A: We have to solve above question and find sin cos and tan value

Q: Let à . Find al.

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Q: determine whether the given series converge or diverge. 20. (-0.99) ¹+1 n=5

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Q: 6 Find an equation of the line to the curve Y= √x that is parallel to the line 6x +Y=1. Y =

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Q: 3. Let f(x, y) = x³ 3x² + xy +7 and u = 0.6i + 0.8j, then find Duf(1,-2).

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Q: A. Using convolution to find L-¹ [(5+2)(5+4)]. B. Test the divergence of the following series 00 n

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: Solve the equation. dx dt 2xt² C An implicit solution in the form F(t,x) = C is =C, where C is an…

A: To find the solution of given differential equation.

Q: Find the equation of tangent line for the curve f(x)=e³x at coordinate (0,1).

A: Given: fx=e3x

Q: Surface integral is used to find Density O Area O 111

A: surface integral is used to find 1.density 2.area 3.surface 4.volume

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Q: Find the dot product of the following vectors u and 7.

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Q: -1-y 3) Evaluate the integral dxdzdy? 0

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Q: Solve the initial-value problem. dW dt e-4t, for t20 with W(0) = 6 The solution to the initial value…

A: The initial value problem,dWdt=e-4t, for t≥0 with W0=6

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: A tank contains 240 litres of fluid in which 50 grams of salt is dissolved.pure water is pumped into…