Find the curl of the vector field F = (7x sin(y), 3y cos(x)). curl F

Q: IV How many positive integers ≤ 180 are relatively prime to 180 (Hint: 180 2².3².5)

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Q: Use the Fundamental Theorem of Calculus to compute In(tan(t²-1)) 12+A arctan (et) cos(t³) -π d dx…

A: By using the Fundamental Theorem of Calculus to compute  ddx∫-πx+4 lntanπt2-1arctanet-cost3 dt.

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Q: Consider the function f(x) function on this interval. = 2√x + 10 on the interval [4, 5]. Find the…

A: The solution is shown in step-2

Q: Find Duf at P. 1 f(x, y) = 3(1 + xy) ³/²; P(3,1); u= NOTE: Enter the exact answer. Duf = S i+ j

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Q: [0, 24], n = 4 f 20 12 4 3 9 15 21 X

A: By using the given graph to estimate the left Riemann sum for the given interval with the stated…

Q: Find the area of the region enclosed by the graphs of y = 3 sin(x) and y= 5πT 2 cos(x) from x = : 0…

A: We need to find area enclosed in region.

Q: Given f(x) = 3x² + 7x, find f'(x) using the limit definition of the derivative.

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Q: 6 +3i

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Q: De Find the intervals where f(x) is increasing or decreasing. a f(x)=-x³ c_ f(x)=√√2-1 A. b…

A: **As per our guidelines, we are supposed to answer only one question with a maximum of three…

Q: 1. Determine the possible values of a, b and c, such that alb,ac and bif: a = [a, 5, 1], b = [-5, b,…

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Q: Use a geometric series to represent each of the following functions as a power series about x = 0.…

A: (a) To find: The power series representation for f(x) and interval of convergence. Given…

Q: ength of the polar curve A² OSAS ATT 4π

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Q: Use the remainder theorem and synthetic division to find the value of f(-3) for f(x) = 2x³-4x² +85…

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Q: Find the surface area of the helicoid (spiral ramp) with vector equation F(u, v) = (u cos v, u sin…

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Q: Express the lengths a, b, c, and d in the figure only in terms of the trigonometric ratios of 0. The…

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Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

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Q: 3. Explain two different ways to solve for the derivative of s(0) = -5cote and show all steps for…

A: The solution is shown in step-2

Q: -10 60 50 40- 30 20- 10 10 20 30 Zoey is a lifeguard and spots a drowning child 30 meters along the…

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A: A circle is inside the circle.

Q: 1. Y(0.1), Y¹ = x+Y+xY > Y(0) = 1 ) h = 0.01

A: Given : Use Euler's Method to solve  Y' = x + xY + xY  Y(0) = 1 , h = 0.01    To find : Y(0.1) = ?…

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: ∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx where a<c<b. The integration of a function f(x) with respect to…

Q: Evaluate the integral. √3 5 2 /1/√31 + x² dx

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Q: g(t) = t t - 1 on [3, 5]

A: First find critical points by g'( t ) = 0 Given function g( t ) = tt - 1

Q: Approximate (3+x-x²) dx with a left-endpoint Riemann sum using four equal subintervals.

A: We are required to: Approximate ∫-113+x-x2dx with a left endpoint Reimann sum usingfour equal…

Q: The total number of people infected with a virus often grows like a logistic curve. Suppose that 25…

A: Given that total number of people infected with virus grows like a logistic curve.   The given…

Q: 1. Determine which of the following methods of integration can be used to solve the integral S - (In…

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Q: Use Newton's Method with initial approximation x1 = -1 to solve the equation x² - 6x 5. Go to x3,…

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Q: Evaluate the discriminant of the quadratic formula, b² - 4 a c, and determine the nature of the…

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Q: find dy/dx у= sint cos2 хосод cesc

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Q: For the function y = x2 + 3 x + 9at (3, 1), find  (a) the slope of the tangent line (b) the…

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Q: If cos A = 2 13 2 √13 4 and angle A is not in quadrant I, determine the exact value of sin A. 13 13…

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Q: An object moves along a path defined by the curve y² = 6x. Find the point on the path closest to the…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  the given point is…

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: Given that:  Distance travelled between 10:17 to 10:55 am = 39 milesSpeed limit = 70 mph

Q: 1 Jo (1 + 4xy) dx dy

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Q: A box with a square base and open top must have a volume of 470596 cm³. We wish to find the…

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Q: Find the derivative of the function. f(x) = In (9x² - 3x + 7)

A: The given function is fx=ln9x2-3x+7. We have to find the derivative of the function.

Q: Consider the function f(x) this interval. 1 on the interval [5, 12]. Find the average or mean slope…

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Q: Use Lagrange multipliers to find the maximum or minimum values of the function subject to the given…

A: NOTE: Refresh your page if you can't see any equations. . the given function is find the partial…

Q: 1. Suppose f is a function satisfying the following conditions: lim f(x)→ ∞, lim f(x)→-∞, lim f(x) =…

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Q: Plot each angle on the unit circle below. You will need to draw additional radius segments

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Q: Use the given zero to find all the zeros of the function. (Enter your answers as a comma-separated…

A: If -4+i is a zero of the function, then -4-i must also be a zero (since the coefficients of the…

Q: Find the area of the region that lies inside the first curve and outside the second curve r = 13…

A: Given: r = 13 sin θ, r = 7-sinθ First, let's determine the points of intersection between these two…

Q: A candy company determines that the cost in dollars for a boxes of candy bars is given by C(x) =…

A: Here we have cost function C(x) Since average cost function is given by C(x)/x.

Q: entify each type of equat r, exponential or rational f(x)=40(2)^(x)

A: Given that,  f(x)=40(2)^(x) To determine the function is exponential or rational.

Q: Which formula would be used to calculate the left rectangle approximation of f¹ 4x²da using five…

A: To find out the correct answer that shows the calculation of the left rectangle approximation of the…

Q: Suppose f(x) is continuous on [2, 7] and -4 ≤ f'(x) ≤ 3 for all x in (2,7). Use the Mean Value…

A: Given: f(x) is continuous on 2,7 and -4≤f'(x)≤3 for all x in 2,7 We are required to: Estimate the…

Q: lim x ln x +0+2

A: limx→0+xlnx

Q: Use the graph of f(x) shown below to find the following integrals. (Click on the graph for a larger…

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