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Q: Find curl(F x G) = V x (F x G). F(x, y, z) = i +5xj + 3yk G(x, y, z) = xi - yj + zk

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Q: Find a critical point tid b.) relative maximum value valve C.) Relative mini mom d.) inflection…

A: Note :-  Here Equation of g(x) = 2x2-9x2+27 =-7x2+27 Or g(x) =2x3 -9x2+27  So we solve this problem…

Q: dy e2y-1

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Q: Use a graph to estimate the coordinates of the lowest point on the curve x = t³ - 31, y = 1² +1+1.…

A: Consider the parametric equation x=t3-3ty=t2+t+1 Sketch of the parametric equations is shown below.

Q: 4. Is the function f(x) = (x + 1 ((x-4)² +3 ; x<4 continuous at x = 4? Why or why not? ; X24

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: Determine a²z a²z + Ər² მ02 if_z = tan -1 Ө r + r r²+0²

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Q: Find a3 w дх ду дz if w — exyz = 0.

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Q: Question 6.5: In Example 6.4 we did an ideal thermodynamic analysis of the General Electric T700…

A: answer is in next step

Q: Consider the function f that is continuous on the interval [-5, 5] and for which f f(x)dx = 4.…

A: We need to evaluate integral.

Q: 4. Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of Y. If…

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Q: - у = 3x-2 4x-5

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Q: Decide whether the integral is improper. [ In(x²) dx proper O improper Explain your reasoning.…

A: Here we have to decide whether the given integral is improper.

Q: Show that the Differential Equation is EXACT and then solve it. 2. (cos2y - 3x2y2)dx + (cos2y-…

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Q: Find the derivative of f(x) = xe-2x O (E) None of these O f'(x) = x²e-22 re (-2) O f'(x) = 2x²e-2r O…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to xx or…

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Q: Evaluate the following 2- S ( 37/3 + 5x² + 3) dx

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Q: 6. 22x+x dx 5. f 22x

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Q: dy √e²y-1 S

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Q: The point P(9,7) lies on the curve y = √x + 4. Let Q be the point (x, √x+4). a.) Find the slope of…

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas.

A: answer is in next step

Q: Evaluate S(-x+y+z)dx + (x+y-z)dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to (3,-2,…

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

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Q: Hi! Is this statement true or false? And why?

A: A detailed solution is given below.

Q: Let F(x) = f(g(x)), g(2) = -2, g'(2) = 4, f'(2) = 5, and f'(-2) = 7. Find the value of F'(2). Let…

A: 1st we have to differentiate the given function and  then put the given value.

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x) dx.

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Q: Consider the polar curves C₂: r = 4 cos 0 and C3 : r = 4 sin 0. (a) Determine the slope of the…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: ∫0π22cos4xdx,  n=4Then ∆x=π2-04=π8The subintervals are 0,π8,π8,π4,π4,3π8,3π8,π2By midpoint…

Q: Evaluate the iterated integral. 6 (x + y) dy dx Jo Jo

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Q: Find a Cartesian equation for the curve and identify it. ² cos(20) = 1

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: [ID # ending in 4 or 7] 2 Əv Determine ( + ду 2²v ах ду if v csch y = ex².

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Q: 0 3. Evaluate the definite integrals: (a) CS Scanned with CamScanner² (x² – 3x) dx (b) 5 1 √I -d.x

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Q: 9. f(-5) = (5)²-19 = 25 -19 -6 b. lim x²-19 X→-5 = (-5)² -19 = 25-19 = 6 с C f(-5) = lim f(x) X-7-5…

A: Solution is given below:

Q: The equation below gives parametric equations and parameter intervals for the motion of a particle…

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Q: Find the future value of a $20, 000 annual income stream if it is invested immediately as it is…

A: Hee, use the formula: FV=erM∫0MS(t) e-rt dt

Q: Sketch a function that is continuous on (-∞0,00) and has the following properties. Use a number line…

A: We need to choose correct options for graph of f'(x).

Q: analyze and trace the given curve y = x / (1 - x)2

A: To solve the following problem

Q: Find the area of the shaded region. 2 -1 square units y=x+ - 2x³ y=0

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Q: Ⓒ Given SS² +8 dy dx. Reverse the order of in tegration and evaluate. Draw the region.

A: In the given problem first we draw the region then reverse the order of integration and after that…

Q: Set up the integral to find the area of the region bounded by x = 4y - y³ and x = 0.

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Q: If ả = 2ỉ + 33, b = j – ỉ and ở = 33 are vectors in 2D, then determine the of a + 3b + c

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

A: Here, ∫R∫yx2+y2dA is evaluated where R: trapezoid bounded by y=x, y=8x, x=1, x=8 which is:

Q: Assume P and Q are points on the graph of the function y = f(x). If the a-coordinates of P and are a…

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Q: 2. Boyle's law for the expansion of gas is PV = C, where P is the pounds per square inch of…

A: P V =Cdifferentiating w.r.t. time t;P dVdt+VdPdt=0P=5000 pounds per square foot.V=8 ft3dVdt=4…

Q: 29. aj = x, a₂ = x+3 30

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Q: y = 1- cos 0 1+ cos 0 3

A: Solution of given question is written in below steps.

Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: Evaluate the iterated integral. [(x + y) dy dx

A: Here is the solution:

Q: Let C₁ be the circle r = 3 cos 0 and C₂ the cardioid r = 1 + cos 0. O (a) Find all point (s) of…

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Q: For two exclusive events A and B, P(A) = 0.2 and P(A U B) = 0.65 If the given information is shown…

A: Solved below