4. sin x dx 2.

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 - x from above inside x = y2,x = 4.

A: Answer is in step 2.

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A: Follow the procedure given below.

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A: we have to find length range for the given rectangle.

Q: If uxv=uxw, u÷0 then O None of the choices O v=w+ ku O u=v+ kw Ow=u+ kv

A: u x v = u x w v = w but u is any other value so  v = w + ku

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A: Given series ∑n=1∞  22nn2+13  (2x-1)n

Q: 4. Find the Laplace transforms of the functions: (a) f(t) = t² (b) f(t) = t – 2e3t

A: a) f(t)=t2b) f(t)=t-2e3t

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Q: If xy? + yx2 - 2= 0, then dy/ dx =.... Jika xy2 + yx2 - 2= 0, maka dy/ dx =.... 1. О…

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Q: Given: (-3)"(х — 2)" Vn + 2 n=0 Determine the radius and interval of convergence of the power…

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Q: ine whether the following series 3- Vn

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Q: mplify using Set lIdentities. Indicate the rule applied for each step. (An B)U (CnA)nB Statement…

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Q: In evaluating Sx²V1+x dx with u = V1+x, what is dx equal to ? u du a. b. и du c. 2и du 3. d. • 2 и…

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: O Fnd the pemainders when @ x³ - 2xx +5x +8 is divided by x-2, (b) x+ x -9 s OC +1 dwided by is…

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Q: 9– 4x2 Evaluate: 4.x2 + 2 sin () +C A 6/ f (x) = 9-4x2 - 2.x sin () + C B f (x) = - -1 ( 2r 9-4x2+2x…

A: here we do integration using parts ∫ fg' = fg -∫f'g f = 9-4x2 g' = 1/x2 f' = -4x/9-4x2 g = -1/x ∫…

Q: Consider the parallelepiped with adjacent edges u = 3i + 3j + k v = i+j+ 8k w = i+ 9j + 5k V Find…

A: Given;  u=3i+3j+k v=i+j+8k w=i+9j+5k.

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Q: Given that h(x) sin(2x + 1), determine functions f(x) and g(x) such that h(x) = f(g(x))

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Q: Recall that e* : 리 for all x€R n: 0 (1.) Find the Maclaurin series for xc * (2.) Use the 2nd de gree…

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Q: Calculate the following limit: lim,→4 4 x-4 O -1/16 O4 O -4 O does not exist

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Q: 2. Use integration by parts to evaluate the following. (a) Sx tan- x dx

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Q: Solve the D.E dy + (xy – xy²)dx = 0 %3D

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Q: 5) S dy 5.)

A: The given integral,      ∫28-y2dy

Q: Find y' if 3x2- (xy²) = 2y³ 2 3=

A: Given: 3x2-xy212=2y3   As we know that; The sum/difference rule: f±g'=f'±g' The Power law;…

Q: I. Evaluate the following integrals. 1 1. -d.x x(9 – In² æ)5/2°

A: Given

Q: 8. [sin? x cos' x dx Ssin*

A: (8). Given: I=∫sin2xcos5xdx   As we know from the trigonometric identity; sin2x+cos2x=1 And The…

Q: 0 e1/x dx

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Q: Using homogenous differential equation determine the particular solution of xy?dy - (x³ + y³)dx = 0…

A: differential equation

Q: /2n?

A: The given series is: ∑n=1∞(-1)n(-1)n2n2+5=∑n=1∞(-1)2nn2+5n2=∑n=1∞1n2+5n2

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Q: What is the general solution of the system x − 2y + z = 3 2x − 3y + z = 8   Multiple choice…

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Q: f(x) = x²+2x+1 g(x)= x+3 Set up the integral to find the area between the two curves. 1 -3 -2 -1

A: We have to find area bounded by the given curve.

Q: S 3x5V1 – 2x³dx

A: Use simple integration formula.

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A: Given problem:- f(x) =x2 ,  Find equation of tangent line which parallel to line 8x-y+16=0

Q: GIVEN THE FOLLOWING POWER SERIES REPRESENTATION BELOW: x4 + 4! Cosx = 1 - + 6! .. 2! (-1)"x2n (2n)!…

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Q: Look at the picture. The function f at the point x=0: (1) Limit exists (2) Continuous 3)…

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Q: Determine if the two given converges or diverges. { п n 2n + - 1/ n=1 Σ n n \2n + 1 n=1

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Q: Find fy (x,y) if f(x.y) = (x° +y®)* fxy (X.y) = %3D

A: Topic = Derivative

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Q: If a function f(x) satisfies the inequality 5 cos(2x) < f(x) < 8x2 + 5, what is the value of lim,0…

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Q: .. ...... .. .. ... .... The formula for the volume of a cone is given below. Find the rate of…

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