TC Find the area of the region bounded by y = cos x, y = 1, and x = =

Q: 15. Solve for x: 37x+1=6561. A. 1 B. 2 C. 3 D. 4 16. If 3a = 7b, then 3a²/7b² = A. 1 B. 3/7 C. 7/3…

A: 15. The value of x such that 37x+1 = 6561 16. The value of 3a27b2 such that 3a = 7b

Q: A triangle has a base that is decreasing at a rate of 4 cm/s with the height being held constant.…

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Q: Prove or disprove that the series below converges n-1 Σ(-) n=1

A: Let's prove that given series is converges or not.

Q: Deriving the formula for volume generated by revolving the first- 8x and the line x = 2 about =…

A: Given problem:- Deriving the formula for volume generated by revolving the first quadrant area…

Q: Solve cos(x) = - 0.73 on 0x < 2π There are two solutions, A and B, with A B A: B = ||

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Q: Investigate if the integral dx 1-x is convergent or not. Justify your answer.

A: Divergent

Q: 1 f(x) = (x² + 3x)² at [2,3]

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Q: r(t) = (t sint, 1 - cost) at the maximum point (x, y) = (1, 2) which occurs when t = . You will need…

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Q: Find the derivative of the following exponential and trigonometric functions: please attach your…

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Q: Researchers fit data from over 6000 fetal ultrasounds. They measured the femur length, L, (in…

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Q: Using the definition, find the derivative of function 2z-i 1 (z)= at the point z = = -¡. z + 2i

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x² + 3x lim x-3 x² - 4x…

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Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A: We have to use the Euler method

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 16 dx +8

A: We have to find the integral

Q: 2X 4) y = C₁ + c₂e² c + C3 e-3x

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

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Q: Find the area common to the circle r = 3 and the cardioid r = = 3(1 - cos 0)

A: Figure of area enclosed by both curve÷

Q: Consider the utility of a consumer consuming two goods, the quantities of which are x and y. His…

A: Let's solve.

Q: It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Concept: Exact differential equation: For the differential equation of the form Mdx+Ndy=0 If ∂M∂y=…

Q: [ (ax + b) c+b) dx = ○ / (ax + b) ² + C O O4a ¹ª (ax + b) ² + C O4a (ax + b)² + C O4 (ax + b) + C 7a

A: You must have basic idea about indefinite integral in order to understand this better.

Q: Evaluate the integral. 2 x² + x + 1 6²7= Jo (x + 1)²(x + 2) dx

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Q: Which of these series, if either, converges absolutely? 00 1 1 1.Σ(-1)* 1.Σ(-1)* 1 k=1 k=1 k+ k² +…

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Q: Find the integral for positive integers m, n sin mx cos nx dx -T

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: Find the first four derivatives of the following functions: 1. y = 4x³ + 12x² + 7x 2. y = 2x5 + 6x²…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3 E (It=X) xp x te

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Q: (b) [x² x²9x8 – 12x4 + 4 dx 2

A: We need to solve integral.

Q: 3 + 2x² √3+2 x2 O 2x 3 - +C X + + 2x + C x3 23³3³ +0 x³ + 2x + C O dx =

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Q: 4. Which of the following is an exact DE? A. (x²+1)dx-xydy-0 B. xdy+ (3x-2y)dx = 0 C. 2xydx…

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Q: Suppose f(x,y)=xex. At the point (2,0), in what direction is the directional derivative maximized? |

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Q: Given f(x,y)=x²y³-4y, find the directional derivative at the point (2,-1) in the direction of v=.

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Q: Solve for the volume of the solid generated by revolving about the y-axis the area under y x = 4 to…

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Q: Given: y = = 4 cot (3 - 2x) Find: dy dx 0-8 csc² (32x) O csc² (3-2x) 08 csc² (3-2x) -4 csc² (3-2x)

A: Given y=4cot(3-2x)To find dydx:

Q: a) b.) O F+ x dx (x³ +1) ³ 3 Sinx sin 2x dx 2 cos x

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Define R as the region that is bounded by the graph of the function f(x) = 2e, the x-axis, x = -1,…

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Q: Find the values of a that satisfy the inequality a. (x-1)(3x) > 0 b.2< 3x+1 2x+4

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Q: f(x) = 45x6

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Q: A spherical balloon is inflated with gas at a rate of 800 cubic centimeters per minute. (a) Find the…

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Q: 2.) Find the acute angle between the given curves y² = 2x and 4x²+ 4y² +5y=0

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Q: Consider the following initial-value problem. y ′ + 3y = e−3t,    y(0) = 5 Take the Laplace…

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Q: integrate [(x csc^2 (2x) - x cos (2x)] dx

A: Given problem:-  ∫ [(x csc2(2x) - xcos(2x)] dx

Q: Find dy dx In y = e sinx O dy dx O dy dx O dy dx O dy dx = yey sin x =yey cos x = 4 1- ye cos x yey…

A: We can find the answer as below.

Q: Find F(s). ℒ{e−8t cos(6t)}

A: To find the laplace transform of the given function.

Q: Find f'(x) where f(x) = x. 2? O f'(x) = 2 (1+x. ln2) O f'(x) = -2 (1+x. ln2) ○ f'(x) = 2 (1-x. In2)…

A: Given :f(x)=x.2x

Q: Find the constant a such that the function is continuous on the entire real line. f(x) = √5x², x ≥ 1…

A: We need to find a.

Q: An analysis of the daily output of a factory assembly line shows that about 50t+t²- 1 tunits are…

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Q: 4. A triangle has sides of length 13 cm and 22 cm and has an area of 100 cm² a) Use Heron's formula…

A: We have to solve the side and angle of given triangle.

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

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Q: 3. dx Smix-hsxt2

A: