Find dt dt dy dx dt dt "I and 1층 x = stet y = 2t + sin(t)

Q: Q19: Solve (a) 2 log (b) 2 log (c) (d) log dx dy cos x log(y+1) y+1 secx+tanx| √2+1 secx+tan. √2+1…

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Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 80x + 0.7x² -…

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Q: Find the absolute maximum and minimum values of the function, subject to the given constraints.…

A: The solution is shown in step-2

Q: Find the area between the curve and the x-axis over the indicated interval. 5 X y = [1, 7]

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Q: Use polar coordinates to find the volume of the solid under the paraboloid z=4-2² - y² and above the…

A: The solution is shown in step-2

Q: Find the area bounded by y=x³-3x + 2, the x-axis, and the first coordinates of the relative maximum…

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Q: avel agency group tour group exactly $290 per person above the 35, then the revenue is given by the…

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Q: Evaluate the definite integrals. (a) f (b) √2x + 1dx ²/4 S cos (√) √T dx

A: Evaluate the definite integral

Q: 2. Eliminate the parameter for each, indicate the domain of the function, and then draw a graph of…

A: We can eliminate the parameter, to get the required equation.

Q: Use geometry to evaluate the definite integral. 10 1 S ½/x dx -x

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Q: The Map As you walk through Gate 4, you realize that Gate 5 is nowhere to be found. In front of you…

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Q: p= 122 0.4x where p is the monthly price per subscriber in dollars and x is the number of…

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Q: The curve shown in the figure is the astroid x = a cos³(8), y = a sin³(8). -a YA a 0 -a a x Find the…

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Q: A group of college students were asked about their TV watching habits. Of those surveyed, 30…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: If lim f(x) = 4, what can you say about ƒ(1)? x-1

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Q: How many complete outfits can Alicia wear if she has four shirts, nine pants, four purses, five…

A: To calculate the number of complete outfits Alicia can wear, we need to consider that an outfit…

Q: Use half angle or power reduction formulas to fill in the blanks in the identity below: (sin(4x))4 =…

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Q: So, to find a critical point, you would use f(x) and not f'(x)?

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Q: Find power series solutions (around x = 0) for the following differential equation: y" + 2xy'- 2y =…

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Q: a. Find lim sinx csc6x x→0 b. If g(0) = 0sin0, find g"(). Give exact values.

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Q: Find the divergence of the vector field F. F(x, y, z) = In(3x² + 8y²)i + 24xyj + In(8y² + 9z²)k…

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Q: Sketch the graphs of the functions f and g. f(x) = e, g(x)= O -10 -10 -5 -5 - y 10- y 5 101 5 -10- X…

A: Using integration, we can find the required area.NoteAccording to our guidelines, we can answer only…

Q: as rectangular function. Write the parametric equations x(t) = √t - 5 and y(t) = 5 + t²

A: The solution is shown in step-2

Q: Find the volume of the solid generated by revolving the specified region about the given line. R…

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Q: Determine the radius of convergence for the series below. 4" (x − 2)" Σ In (40)

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Q: (b) The position of a particle is described by (i) Find r(t) = 3 cos (2t)i +3 sin (2t)j +tk. lim…

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Q: The graph of the derivative of y=f(x) is shown. Find the locations of all relative extrema of f(x).…

A: Note that the critical points are those points where relative minima or relative maxima occur and…

Q: Find the missing side length and angles of △ABC given that m∠C=118∘, a=7, and b=10

A: m∠C=118∘a=7b=10Find the missing side length and angles of triangle △ABC

Q: 11. Use multiplication or division of power series to find the sum of the first three nonzero terms…

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Q: A = 5 2 0 -3

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Q: Calculate the first eight terms of the sequence of partial sums correct to four decimal places. S 1…

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Q: ƒ(x) = x(3x + 1)5

A: The given function is

Q: (a) In(28) - In(56) is equal to In(4) - In(8). OTrue OFalse (b) In(a + b) = In(a)In(b) for all a,b >…

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Q: 3(a)Simplify the trigonometric expression          tan(u)+cot(u)=? (b)Simplify and write the…

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Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f '(x) and…

A: NOTE: Refresh your page if you can't see any equations..Take integration on both…

Q: What transformations must be applied to y-log(x) in order to generate y=2log(x)/log(0.5) O O O O 1.…

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Q: Find the derivative of y with respect y=sin¹ (√3t)

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Q: For the vectors u = a. 4u + 2v (5, 1, 7√√2) and v = (2, 0, 5√√2), evaluate the following expression.…

A: The given vectors and .To calculate the vectors,(a) (b) (c) .

Q: Find f(x) by solving the initial value problem. f'(x) = 6ex - 6x; f(0) = 9 3x² +3 f(x) = = 6ex X

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Q: Use washers to find the volume formed by rotating the region enclosed by: 1.6 1.2 x 14 and y = 0…

A: Use washers to find the volume formed by rotating the region enclosed by y= 1.6-1.3|x-14| and y=0.

Q: Find the eigenvalues of the following matrix: 6 1 = [2 +² 0 A Write down your answer for both…

A: To find the eigenvalues of the following matrix.

Q: What does a = 10^b mean? Ob= 10^a b = a^10 Ob = log(a) Oa= log(b)

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Q: The Sixth Gate After walking through the fifth gate, your computer informs you that more than half…

A: The given function is

Q: Evaluate √x² + y² dA, where D is the domain in the figure and a = 26. 26 a -X

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Q: The Eighth Gate Arriving at the eighth and penultimate gate, you immediately get to work. "Computer,…

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Q: Which of the following transformation statements is not true about the transformation from y = cos y…

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Q: f'(x) = f"(x) = (x) and (b) Graph f(x), f'(x), and f"(x) with a graphing utility. y 150 -5 100 50…

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Q: Substitute the value of y' in 1 + (y)²

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Q: 10 0 1 y = ex 3 X

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Q: 3. Find the area under the curve y = xe-² from x = 0 to x = 2.

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