For neN simplty 2-글 + 4-1 +8-금+16-습+. + +2"-그 2n

Q: Evaluate the definite integral. i+e"j+tk)dt (e^ – 1) i – (e- - 1) j+ k O e - i+ (e" - 1) j + k 1 O…

A: A detailed solution is given below

Q: (4x - lim (4x – V16x2 + 3x – 5

A: Topic:- limit calculation

Q: A conical tank with a diameter of 2 m across the top and 3 m high is filled with water. Find the…

A: The given problem is solved below in detail.

Q: Evaluate the iterated integral. yz dx dz dy 45 в) 34 47/3 D) 5

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Q: 2. Find the area of the parallelogram whose vertices are given by: P: (1,2, –1), P2 = (4, 2, -3), P3…

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Q: Find the area of the surface that is generated by revolving the portion of the curve y = x between x…

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Q: 2 2 3 Y= (4x3 - 4a3 ) 2

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 5…

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Q: The graphs of the function f (r) = 7 - a and g(a) = 3 are given below. %3D

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Q: Find curl (3z i + 4x j + 6y k). curl (3z i + 4x j + 6y k) = ( i )i + ( i )j + ( i )k

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Q: Solve the inequality involving absolute value. |x-3|/4<2

A: Given :        x-34&lt;2

Q: Determine the volume generated when the area bounded by the curves y = sin x and y = cos x from x =…

A: Given problem:- Determine the volume generated when the area bounded by the curves y = sin x and y =…

Q: 2а-2х V4a-V4x

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Q: 1. Determine whether the series is convergent or divergent. If it's n=l e"+1 convergent, find its…

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Q: sin(x) 19. Evaluate -dxdy by changing the limits of integration appropriately.

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Q: Find curl (9z i + 10x j+ 7y k). curl (9z i+ 10x j + 7y k) = ( i Di + ( i Oj + ( i )k

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Q: P(x) Let P(x) and Q (x) be polynomials with the degree of Q (x) greater than the degree of P (x) and…

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Q: Find the Inverse Laplace Transform of the following functions: 16 a. L4. s(s2-14) b. L4. (25-32)2

A: we have to find       L-1{16s(s2-14)}   we can re-write the function 16s(s2-14) =1614( -1s +ss2-14 )…

Q: Use a triple integral to find the volume of the solid. The solid bounded by the surface y = x and…

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Q: The productivity of a major manufacturer of microwave ovens is given approximately by…

A: Given problem:- The productivity of a major manufacturer of microwave ovens is given approximately…

Q: Find div F and curl F if F(x, y, z) = x°i – 2j + yzk. div F= curl F=

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Q: Find div F and curl F if F(x,y, z) = x*i – 7j + yzk. - div F= curl F=

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Q: Question 6 Use double integration to find the volume of the solid. ... 3 3x + 2y + 4z = 12 A) 6 B) 9…

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Q: Find the area bounded by the graphs of 1, y= and X=1 (Ao the right)

A: Find your answer below

Q: Find V x (V × F) if F(x, y, z) = 6xyj+7xyzk. V × (V × F)

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: Use double integration to find the volume of the solid. ... 3 3x + 2y + 4z = 12 А) 6 B) 9 12 15

A: Let's find.

Q: Evaluate the definite integral that represents the volume of the solid formed by revolving the…

A: Explanation of the answer is as follows

Q: f' (x) = 3x* – 5x² + x

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Q: S (In 2x2 dx

A: Evaluate the integral :    ∫ln 2x2 dx

Q: Find curl (3z i + 4x j + 9y k). curl (3z i + 4x j + 9y k) = ( i )i + ( i

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Q: lim 48V x 487Y

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Q: Find lim f(x) for the given piecewise function. x-4 2х + 5 if x 4 If the limit does not exist,…

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Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) : = 6ti –…

A: Solution is done in step 2

Q: n/2 sine Evaluate the iterated integrals r cos e dr de 0.

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Q: Tabular representations for the functions f, g, and h are given below. Write g(x) and h(x) as…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x3 - y3, P(4,…

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Q: 2. Prove that the p-series converges for p > 1.

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Q: Find the area of the surface that is generated by revolving the portion of the curve y= x² between x…

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Q: 34 Count lim (1+x) F b) lim (1-x)* メ→0 The limit in (a) determines e. What special number does the…

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Q: Find the conservative vector field for the potential function by finding its gradient. h(x, y, z) =…

A: We have to find the conservative vector field.

Q: 7-18 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7.…

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Q: x'y'y'+ xy' = 1 dy x' + y' dx 2ху dy 2 rv + 3v2

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Q: e2x - e 2x 3. lim, 0 sinx

A: To evaluate the given limit.limx→0 e2x-e-2xsin x

Q: Determine the area of the region enclosed by y=x^2 and y=x^1/2 A) 1/3 B) 1/4 © 1/5 D 1/6

A: To find the area enclosed between the two given curves.

Q: Find the area of the region(s) enclosed by the curve y = |2x - 6|, the x-axis, and the lines x = 0…

A: Given: y=2x-6x=0 and x=4

Q: Find the directional derivative of the function at P in the direction of v f(x, y) = x³ - y³, P(6,…

A: we have to find directional derivative.

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction to PQ

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Q: Evaluate the integral. (Use C for the constant of integration.) 2 cos (a) da sin(a)

A: Given query is to find the value of the integral.

Q: af Find for the function: f(x, y) = xcos(xy) + 2xy2

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