Find the area bounded by the parabolas (x - 1)² = 4ay and y² + 4a = 4ax.

Q: Use Figure 1 to evaluate each trigonometric function of angle A. The side adjacent to angle A has…

A: We will use simple trigonometric formulae to solve this question.

Q: Find a particular solution of =(x-1)² if y=-21 when x=-3. dy dx

A: Given differential equation is;…

Q: 4. f(x) = 4x cosh 3x x² ; f'(2.7)

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Q: 8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for x 2…

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Q: Using Trapezoidal method spaces) (x+2)² dx for n=4 is equal to Blank 1 (use 2 decimal places with…

A: Using trapezoidal method, integration value is evaluated.

Q: Find the area enclosed by r = = √2 sin 0 and r2 = cos 20.

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Q: (b) the curve x = = y²-y-6 and the line x = = 2y + 4;

A: Given; x=y^2-y-6, x=2y+4

Q: Q1: convert the Integral 1-X fydx to the polar coordinates.

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Q: Question 1 Iff and g are continuous on [a,b] and f(x) ≥ g(x) for all x € [a,b], then [f(x)dxz g(x)dx…

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Q: Which of the following is not true? 5 dx dx ® (Α Sº o 25-x² lim c+5-0 25-x² ® √ in(x²) dx = lim_…

A: We have determine the integration

Q: ds Find the complete solution of = 8t³√√s. dt

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Q: Find the area bounded by the curves x² + y = 6, y = x, y = -2 and x = -2.

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Q: Suppose that f(x) = x² − 3x + 2. Then there is no critical number to determine concavity. Select…

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Q: 1 -dx= 4 -2 X A True B) False m 100

A: True or false ∫-211x4dx=-38

Q: Problem 3. A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is…

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Q: A particle is moving along a line in such a way that v centimeters per second is the velocity of the…

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Q: dx x+y cos x 1tsinx Ans: (1 + sin x)y + x² = c

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Q: A bucket that has a mass of 25 kg when filled with sand needs to be lifted to the top of a 20 meter…

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Q: dy Find the complete solution of 2e-2 cosx-sin²x = 0. dx Note: [e"du=e" + C

A: The given differential equation is 2e-2y cos x-dydx sin2x=0⇒dydx sin2x=2e-2y cos x⇒dy2e-2y= cos x…

Q: A runner is jogging at a constant speed of 3.5 miles per hour. a. Find the distance d that the…

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Q: Which of the following is not true? 5 dx с dx Ⓒ√² S 25-x² (Α o = lim C-5- o 25-x² 3 dx 3 dx (В lim…

A: We have to determine integral

Q: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

A: The population of a town is decreasing at a rate proportional to its size.In 1980, the population…

Q: Solve ²₂(x + 1)(x + 2)²(x² − 1)dx with and without the even-odd theorems (show both solutions).

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Q: Given than an f* f (x) dx = -4 and Ⓒ ²1 (2) dua - [² 31 (2) dir = A f 3f dx 22 B [₁ f (x) da = 6 0…

A: We have to find the integral

Q: How long will it take for an investment to at least double its original amount if it is growing at…

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Q: The table shows values of a force function f(x) where x is measured in meters and f(x) in newtons.…

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Q: f:R+ → R f is a strictly decreasing function. 3 1 f (x) · f ( f(x) + 2x 4 f (9) = ? 1) 3) 1 6 4) 1…

A: Answer is given below.

Q: Convert the Cartesian coordinate (-1,-3) to polar coordinates, 0≤ 0 0 r = 0 =

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Q: Using Simpson's method Blank 1 Add your answer √xdx for n=4 is equal to Blank 1 (use 2 decimal…

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Q: The curve y = √x + 2 is revolved about the y-axis from x = 1 to x = 8, find the surfac area.

A: Here we have to find the surface area.

Q: Let (t) = 5 cos(t) and y(t) = 3 sin(t) All answers should be decimals rounded to 2 decimal places.…

A: Applications of differentiation

Q: B.) For numbers 1 to 10: Determine if limit of each function exist using the piece-wise function…

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Q: x² 1) Let f(x) (Figure 24). Verify the X 1 following: (a) f(0) is a local max and f(2) a local min.…

A: Since you have posted a question having multiple subpart part as per guidelines we can solve only…

Q: ds Find the complete solution of = 8t³ √√s. dt

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Q: 2-1 4s - 4 s² - 16/

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Q: Find a particular solution of ds 1 π = cost determined by s=3 when t == = cos dt 3 ✓

A: Please see see below picture for detailed solution.

Q: Find the area of the region bounded by the curves y=x4 andy=2x-x²

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Q: For the function f(x)=4(2)^x -6, stars it's domain, range, and asymptote and then graph the…

A: We have to find the domain range and asymptote of the function.

Q: (b) p = 2 sin p cos 0

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Q: 39 9. A curve with polar equation r = 6sin0+13cose represents a line. This line has a Cartesian…

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Q: Evaluate the double integral that will find the volume of a solid bounded by z = 4 − x^2 − 4y^2 and…

A: Let's find volume of solid.

Q: 23. Test the series below for convergence using the Ratio Test. Σ n2²n 8n-1 n=1 The limit of the…

A: Here we have, ∑n=1∞n22n8n-1

Q: 4. Verify the final value theorem for the function 3t²e-4t and determine its steady state value.

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Q: State the initial value theorem. Verify the theorem for the functions: (a) 3-4 sin t (b) (t-4)² and…

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Q: Find the length of the spiraling polar curve r = 6e50 From 0 to 2. The length is

A: SOLUTION-

Q: Given Cost and Revenue functions C(q) =q³-9q² +57q+5000 and R(q) = -3q² +2600q, what cost is…

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Q: [* [b3 - 3 3 dy

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Q: 1. Consider the function f(x) = x6 - x³. a. Determine the absolute extremum using the First…

A: The given function, f(x)=x6-x3

Q: chie in 4126 123V5LICE 3. A parcel of land has an area of 5 hectares. Express this area in square…

A: topic - unit conversion 1 hectare = 107639 square feel

Q: closed box with a square base is to contain 252 cubic feet. The bottom costs $5 per square ot, the…

A: Please refer to the image below