27. The region bounded by y=x ³ the x-axis, the line x = 1, and x = 5. 3 28. The region bounded by y=√√x, the x-axis, and the line x = 9.

Q: Use the antiderivatives of trigonometric functions to evaluate the following. 3. f3 sec² x dx 4. f10…

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Q: Evaluate the definite integral 3 fat- (t-5) (6-t) dt NO

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A: -Expressing the surface area A in terms of π and r: The surface area of a right circular cylinder…

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A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Q.8. Find the reference angle for the angle 6.1 radians. Round your answer to one decimal place.

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Q: 7. Be sure to show and explain all steps. (f(x))(g(x)) Determine lim x→c (g(x))-Sh(x) lim f(x) = 10…

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Q: Q8 Compute the following derivatives: (a) [e5x²-7x] d dx (b) [In(x³ - 5x)] dx

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Q: Question # 21 We want to make a rectangle with the least amount of cost. If it costs $10 per ft for…

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Q: 6) Consider the vector function r(t) = (sin(nt), ln(-t+3), ²) a. Evaluate lim r(t) t-3- b. Find r'…

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Q: Evaluate the definite integral. 64 104 7 1 (x + 1) √x dx

A: I=∫1641x+1xdx

Q: n 24. Prove that k() = n2n-1 for each natural number n. k=1

A: Summation of k (n       = n 2n-1                                k)

Q: r² Find the volume of the solid obtained by rotating the region under the graph of the function f(x)…

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Q: A plane is travelling S 35° W at an airspeed (speed in still air) of 250 km/h. A wind of 95 km/h is…

A: Given that , Air speed = 250 km/h S35°W Wind speed = 95 km/h SE Determine the resultant ground…

Q: Approximate the following integral by computing the Trapezoid and Simpson approximations using 4…

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Q: Sketch the graph of the function f. √x - 6 -10 O -10 f(x): = -5 -5 -2x + 3 y 10 5 -5 -10 y 10 5 5…

A: According to question,Given Function,fx = x-6if x≤3-2x+3if x>3

Q: [2x(3x²-4)³dx

A: ∫2x(3x2-4)5dx

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A: The given differential equation is;  d2y/dx2 -4y = x+2-3e-2x. Solve by method of undetermined…

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Q: M|LX 1. Find the antiderivative of y = 4x7 + sin x- --

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: 4 2 x-4x+5 S. dx

A:

Q: The volume of water in a tank at a particular time (measured in seconds) is given by V (t) = 5t(2 −…

A: The volume of water in a tank at a particular time (measured in seconds) is given by V (t) = 5t(2 −…

Q: 12. The table shows values of f(t). Use the table to estimate f(t)dt. 20 30 18 11 t f(t) 0 17 10 22…

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Q: In a class of 27 learners, what is the probability that at least two learners share the same…

A: Explanation::-

Q: To enter π, type "pi". Suppose the volume of the solid obtained by rotating the region bounded by…

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Q: Find the critical point of the function f(x, y) = − (16x + 4y² + ln(|x + y))). C = Use the Second…

A: To find the critical point of the function fx, y=-16x+4y2+lnx+y. By using the second derivative test…

Q: help with problem 25

A: We have to find the radius and interval of convergence.   We will use Ratio Test to find the radius…

Q: Given f(x, y) = sin(x+y) where x = s5t4, y = 5s - 4t. Find f.(x(s, t), y(s, t)) = | f(x(s, t), y(s,…

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Q: 59. Find the rate of change in the supply x of a product if the price is $150 and the supply…

A: The supply function is x = 10p-1002+25, p≥$100 To determine: The rate of change in the supply x of a…

Q: 4. Write the equation for a transformed exponential function whose asymptote is Y = 4 and has a…

A: To find an equation for the transformed exponential function, we will start with the general form of…

Q: 4) Let two vector functions be defined by r₁(t) = (t², t, 3t³) t² r₂(t) = (t - 1,7,5-t) a. Find the…

A: Given that the vector functions are  r1t=t2,t,3t3 and r2t=t-1,t24,5-t. a)It is required to find the…

Q: Evaluate fxy³dx + x²dy, where C' is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

A: Evaluate ∮xy5dx+x2dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

Q: 1-s Evaluate: L-¹{ } =? s²+4

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Q: Determine if the series converges or diverges. If the series converges, find its sum,

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Q: 8. A circle is centered at the origin, with a quarter of the circle shown in the diagram below

A: We can obtained the various 3D figures by rotating the 2D figures The shape and size of the 3D…

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A: Here the given vector in the magnitude and direction form as a→=r∠θ =30∠110°

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Q: Solve that i tick by red pen

A: 2) We know that right angle triangles can be a scalene triangle when the other two angles or the…

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A: To find the volume of the solid obtained by rotating the region enclosed  by the graphs x=y2 and…

Q: Suppose the straight lines L₁ and L₂ have respective vector equations 4 5 9 -5 (99)-0) -3 +t = -…

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Q: Question #2 2x+8 x+4x²+x-12 lim Find the following limit algebraically, if it exists.

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Q: X 2000 A television camera at ground level is 2000 feet away from the launching pad of a space…

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Q: Find the exact average value fave of f(x)=√16-r² between 0 and 4, then find an exact number c in…

A: Given that , fx=16-x2 , x∈0,4favg=?

Q: Create a limit evaluation problem that requires conjugation with an answer of 1.5. Please show the…

A: We need to construct a limit evaluation problem that requires conjugation with an answer 1.5.

Q: No. 10 CX-St Q₁: Find the approximate Value for: 3/2 10/3 2 [(7-99) ³+ (6.0₂ )" ] ³ / 2 (1-03)

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Q: 1+√15 1 - √ 10

A: 1+151-10

Q: Suppose that a pencil holder is in the shape of a right circular cylinder, which is open at one of…

A:

Q: Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the…

A: -4, 16, -64, 256,....