(2x + 3)dx x² + 4x + 29

Q: e-(x²+y³)(x dx + y dy) = 0

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Q: t-4 lim x-3-3-ax

A: We have to find out the limit

Q: Evaluate (x - 4y + z) ds. S: z = 5y, 0 s x s 4, 0 sysx

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Q: 3. y = Vĩ,0< xs1

A: Apply formula for surface of revolution

Q: Let X(t) = f(t, W (t)). Give an integral expression for X(t) – X(0) in the following cases: a)…

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Q: Evaluate the integral F(t) = f e-t cos(5t) dt. (Note: An arbitrary constant has been added for you.)…

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Q: Convert the following parametric curve into Cartesian form: z = 4 sin t, y = 5 sint O None of these.…

A: To convert the parametric equation into Cartesian equation.

Q: rst choose the method you propose to use: O Apply Stokes theorem n arametrize th e surface and work…

A: answer is in next step

Q: O Find the volume of the solid under the surface z = xy and above the triangle with vertices (1, 1),…

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Q: Evaluate the integral (2x + 6)dx x² – 2x + 17

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Q: 6. Since 3 is a constant, use the following property of summation to find the sum 3i- | = 1 E ka; =…

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Q: Evaluate the integral sin x dx (2 + 3 cos x)2

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Q: f'(8)= xcas (2x)

A: Function and it's derivatives

Q: Use Green's Theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

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Q: Determine which pair of points can represent as the absolute extrema of the given function at the…

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Q: Complete the table. (Use C for the constant of integration.) Original Integral Rewrite Integrate…

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Q: valuate. (Be sure to check by differentiating!) 1 dx, x - 3+7x 3/7

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

Q: The total cost to produce x units of perfume is C(x) = (7x+7)(7x+6). Find the marginal average cost…

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Q: Find the arc length of the graph of r(t) = eviti + e¯V#tj+ 2tk, 0 <ts v2 In 5 NOTE: Enter the ezact…

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Q: Evaluate the integral sin3 x + cos? x + 1 dx sin? x (cos² x +1)

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Q: (b) For the case a = 3, b = 4, and for the constant vector field F(x,y,z) = 4 1 + k , find the flux…

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Q: Find parametric equations for the tadgent line to the curve with the given parametric equations at…

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Q: 4 Determine if f (x) = - 2x if x 1 is differentiable at a = 1.

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Q: Does the series diverge? Converge or tin ta)^

A: We need to determine if series converge or diverge.

Q: The function f(x) = 2x – 42x + 270x – 2 has two critical nu The smaller one is x = and the larger…

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Q: Evaluate the definite integral. 1 |(7x2 - 4x +6) dx

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Q: Carbon 14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A: Given; Half life of 14C = 5715

Q: Find three positive numbers whose sum is 260 and whose product is a maximum. (Enter your answers as…

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Q: -2V-6 6. The gradient of a curve is given by = 3). find the equation of the curve. Given that the…

A: Equation

Q: FIND THE GIVEN DIFFERENTIAL EQUATION Homogeneous Equation ( 3x + 4y - 1) dx + (18 x + 24 y + 2) dy…

A: The given DE is: (3x+4y-7)dx+(18x+24y+2)dy=0⇒dydx=-3x+4y-718x+24y+2⇒dydx=-3x+4y-76(3x+4y)+2

Q: 2. The region bounded by the given curves is rotated about the specified axis. Find the volume V of…

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Q: flx) '(^) f'18)= xcas (28)

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Q: Evaluate the integral (Partial Fraction Decomposition) xdx J (x2 + 2)(x² + 1)²

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Q: C is the semicircular curve drawn in the ground (the xy-plane) joining the points (0, - 2), (2, 0),…

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Q: (a) Evaluate the double integral. бу 4x5 + 1 dA, D = {(x, y) |0sys 1, vỹ s xs 1} (b) Evaluate the…

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Q: 4. (3a* +23a +10a -21a+58)÷(a+7)

A: Given that,    3a4+23a3+10a2-21a+58÷a+7

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated lis f(0) = 6sec…

A: We have to find out theta

Q: Select the correct graph for the given function y = In(x+2) 4 3 2 1 + +++++ -8 -6 H 8 4 6 -4 -2 2 >…

A: Solve the following

Q: 8x +6x2 -9 3 2х-2

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Q: 12 4 -3 -2 -1 -- -5 4 5 -2 -6 The function graphed above is: Increasing on the interval(s)…

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Q: Determine the indefinite integral 6+8x3 dx by algebraic manipulation. Assume x>0 when In (x)…

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Q: Evaluate the following limits. If needed, enter 'INF' for o and '-INF for -o. (a) V6+9x? lim x-00…

A: Solve the following

Q: omplete the table for the radioactive isotope. (Round your answer to 2 decima Amount After 3000…

A: we have to find out the initially quantity

Q: The perimeter of an isosceles triangle is 38 m. Find the length of the sides of the triangle of…

A: Let's find.

Q: Find the exact values of the six trigonometric functions of the angle 8 shown in the figure. (Use…

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Q: Find the indefinite integral and check the result by differentiation. COS X dx 1- cos?x

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Q: Workout Problem Question 1 2 a. [ Compute the integral I = S Se S" czdzdydx b. [ write the equation…

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Q: Evaluate the integral. 18 J xp- 3/2-36 x 18 3/2-36x

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Q: (a) Evaluate the double integral. бу 4x5 + 1 dA, D = {(x, y) |0sys 1, vỹ s xs 1} (b) Evaluate the…

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Q: If 5a + 3x + ry = 1 and y(1) = - 7, find y'(1) by implicit differentiation.

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