y = tan 2x 1-cot 2x

Q: Find the differential equation of the family of circles of fixed radius r with center on the x-axis.

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Q: Find J²w дх ду дz if w — ехух = 0.

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Q: For items 1-5 A 10-ft ladder is leaning against a house on flat ground. The house is to the left of…

A: A 10‐ft ladder is leaning against a house on flat ground. The house is to the left of the ladder.…

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

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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: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

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Q: 3. Find of the following equations: dx a. y = (e-3x² + 7x² + In 8x)* b. √xy = 2x²y - 8x c. x = sec…

A: Just taking derivative of problem (b) and using product and chain rule of derivative and then…

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

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

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Q: Use the simplex method to maximize the following: Maximize f=6x1+4x2+10x3f=6x1+4x2+10x3 subject to…

A: We need to use simplex method.

Q: 5. Consider the function below. Is g continuous on (0,117 on (4,1)? Why or why not? 20 if z ≤0. 3 if…

A: check continuity

Q: 10. | x³(lnx+1)8x* dx

A: To evaluate the integral: I=∫xx(ln x+1)8xxdx=∫8xxxx(ln x+1)dx

Q: 5. a) All edges of a cube are expanding at a rate of 3 cm per second How fast is the volume changing…

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Q: A farmer wants to construct a fence around an area of 6936 square feet in a rectangular field and…

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Q: It is known that the area of a polygon with vertices (x₁, ₁), (x2, 12). (x, yn) is equal where we…

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. a. So f(x) dx…

A: Let's find.

Q: The minimum hourly wage in a particular country has grown over the years, as shown in the table. a)…

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Q: Solve for dy/dx and simplify the result y = (5x + 2)6 (3x² +7)7

A: As per our guidelines we can only solve one question and rest of the question will be reposted.

Q: B. Assume that f(x) dx = 3 and g(x) dx = -2, find the following: 26. [f(x) + g(x)]dx = 27. [2f (x) -…

A: Part B,Given,            ∫13fxdx=3 and ∫13gxdx=-2

Q: Use the appropriate technique of integration to compute the following antiderivatives. SHOW THE…

A: Solve the following

Q: For items 1-5 A 10-ft ladder is leaning against a house on flat ground. The house is to the left of…

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Q: Question 9 Find the simplified form of the derivative of y = Š Oy= 3 csc 3 CSC (3x) 3 csc 3z = cot…

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Q: Evaluate the iterated integral. 17 [₁₁/₁² (x² + y²) dx dy = i 17 LL" (2² + y²) dx dy

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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: 304² 3x Evaluate dx dy, by first Reversing the order of integrals. √36 + x3 Enter an integer or a…

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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: Let f (x, y, z) be a function such that : (i) the function f (x, y, z) decreases most rapidly at the…

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Q: 2) A curve is such that dy e3x dx ey and the point (0,0) lies on the curve. Find the equation of the…

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Q: Consider the function f(x) below. At what value(s) of x are the inflection points? Enter answer…

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

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Q: 2. Given So S√x y² +8 dydx. Reverse the order of integration and evaluate. Draw the

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Q: A. Write the expression as a single Integral. Choose your answer from the box. Letters only. A. f…

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Q: A line has slope and passes through the point (a, b). Which of the following is not a point on l?

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Q: The point P(2, 2) lies on the curve y = 4. If Q is the point (x, 4), find the slope of the secant…

A: answer is in next step

Q: Solve the triangle with the given information. a= 8.3, c= 2.8, p= 19.4° b 5.7 (Type an integer or a…

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Q: Consider the following. Let u = 4x³ - 1. Find du. du = dx Indicate how the limits of integration…

A: The given definite integral,          ∫01x24x3-14dx

Q: Find the Definite Integral Exactly and use Desmos to explain what you just found. -2 3. S²(x² - 3*)…

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Q: xz •Evaluate So So So ²³x² sinydydzdx X

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Q: 8. teyty dy

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Q: 2) √ x¹ (5-x²) dx

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Q: f cos(mx) cos(nx) dx is equal to {A} [sin(m + n) + sin(m − n)] dx {B} [sin(m + n) - sin(m − n)] dx…

A: Let's find.

Q: Determine whether the improper integral diverges or converges. [.. cos(2x) dx converges diverges…

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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: If |ū| = 4, |v|=5, |ū-v=6, determine |ū+ v.

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Q: d the amount of money that accumulates when $310, 000 is placed annually into a non-interest-earning…

A: Given query is to find the amount accumulated.

Q: 3-2ey 3y-zey dy is Зу-2еу {A} - In|3y - e²y|+C The f

A: we have to find the integration.

Q: Sketch the region R and evaluate the iterated integral x, y) da. [²³²(¹-2x - 2x + 8y) dy dx

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Q: Evaluate the iterated integral. [²1²₂(x² - y²) dy d dx

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Q: Find the critical points of the function f(x) = 2²-25 x² + x - 30 Use a comma to separate multiple…

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Q: Find the indefinite integral. Solution in handwritten. 1. f =dx /1+x4

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