3 Evaluate: S(5x¹2x³ + 3x − 4)dx -

Q: 16. Find the exact value of: π a) sin¹(tan(- =)) 3 √₂ 2 b) sin(cos-1(-

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Q: Find the area of the surface generated when the indicated arc is revolved about the y -axis. 6. y =…

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Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total…

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Q: (x + y \(xdy+ ydx)– xy(xdx+ydy)=( +y²

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Q: f(x)=√x² - 6x. Use interval notation to indicate the domain of f(x). Note: When entering interval…

A: We have to find the domain of f(x) = x2-6x4.

Q: a B sin(A) = cos (A) = Note: Triangle may not be drawn to scale. Suppose a = 9 and b = 2. Find an…

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Q: n 4 31 1 = -—- — [7 ( ² + (1 - 1) — ) ² − 6 ( ² + ( + − ¹) -)²] Σ (i - 1). " n n n n → ∞ as a…

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Q: Find the following derivatives. Express your answer in terms of the independent variables  ws and…

A: To find out ws, wt

Q: QUESTION 1 Find the absolute maximum and minimum values of the function in the given interval. Use…

A: This is a problem related to maxima and minima of the function. please follow the procedure given…

Q: . A rectangular pen is built with one side against a barn. If 2300 m of fencing are used for the…

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Q: Evaluate the following integrals [ (2x + 4)dx x2 – 5x +6

A: Given, ∫2x+4x2-5x+6dx

Q: 11. A ball is thrown downward with a speed of 8 ft/s from the top of a 64-foot-tall building. After…

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Q: [4 - x - x² if x 5 Use a graph to determine the following limits. Enter DNE if the limit does not…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = P(4, 5), v =…

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Q: Write an equation for the polynomial graphed below

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Q: 4. The region bounded by the curve y = x² + 1 and the line y = -x + 3 is revolved about the x-axis…

A: We have to find the volume of solid.

Q: 4. -π/4 1 9cos² x-sin²x dx

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Q: Solve 11. a), b), c), d)

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Q: if f(4)=2 and f'(4)=2/5, use the formula (f-1)'(x)=1/(f'(f-1(x))) to find (f-1)'(2)

A: If f is an invertible function and if f(a)=b, then f-1(b)=a.

Q: Transform the given polar equation r = sectan to rectangular coordinate.

A: This question is related to coordinate systems, we will solve it using given information.

Q: f(g(x)).

A: f(g(x)) = 25/x2  provided the answer in step2 with solution

Q: An open-top storage box with a square base has a capacity of 32 m². Find the dimensions that will…

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Q: Solve: 20 tan² (0²) de a. O b. O c. ✓d. sec(0²) - 0 sec(0²) - 0² tan² (0²) - 0 tan(0²) - 0²

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Q: Find y as a function of t if y(0) = 7, 3/(0) = 6. y(t) = 49y" + 140y + 136y = 0,

A: The given DE is: 49y''+140y'+136y=0 So, the auxiliary equation of it is:…

Q: w = xy cos z, x = t₁ y = t5, z = arccos t (a) Find dw/dt by using the appropriate Chain Rule. dw =…

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Q: Ted is driving east at 80 km/hr and Anthony is driving north at 50 km/hr. Both cars are approaching…

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Q: Consider the following repeating decimal. 0.5 Exercise (a) Write the repeating decimal as a…

A: Consider the following repeating decimal. 0.5To write the repeating decimal as a geometric series.

Q: Complete the equation for the piecewise function graphed below. +6+ 5 -4- 3- 2 + -6 -5 -43 -2 -1 H…

A: For any straight line ,we need know two points, Here from -6≤x≤2 clearly line passing through two…

Q: Use polar coordinates to evaluate the double integral. 1 1 + x² + y² where R is the sector in the…

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Q: Find the general solution of the differential equation. · 11y(4) + 29y"”" — 11y″ + 28y' = 0. NOTE:…

A: A detailed solution is given below

Q: (1) -dr x(x + 1)

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Q: Find dw/dt using the appropriate Chain Rule. w = x² + y² x = 3t, y = 8t (No Response) dw dt

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Q: Find the total differential. w = eбy cos(4x) + z7 dw (No Response)

A: Explanation of the answer is as follows

Q: Use the comparison theorem with f(x) = = 1 √x r∞ 1 •√₂ √I-1 to show that is divergent.

A: Solution is given below:

Q: Consider the following equation. 6² - x = 36 Find any Intercepts. x-Intercept (x, y) = (…

A: Given equation of curve:- 6y2-x=36  Find:- X intercepts, y intercepts, symmetry and graph of curve

Q: the limit 25 - x 5-√√x Evaluate lim x 25 →

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: We have to find the slope of the tangent line to the polar curve  r = cosθ3 at the point θ=π.

Q: Find y as a function of t if y(0) = 4, y(0) = 1. y(t): = 64y" - 144y + 81y = 0,

A: Given: The characteristics equation is             64m2-144m+81=0⇒m=--144±-1442-4· 64· 812·…

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: (c) (i) Show that the equation (3x²y²-10xy²)dx + (2x³y-10x²y)dy = 0 is an exact equation. (ii) Then,…

A: We need to show that the given differential equation is exact and also we need to find out the…

Q: Find the first five terms of the given recursively defined sequence. 2an - 1 + 6 and a₁ = 2 n- a₁ a2…

A: Given     an = 2an-1 + 6    and a1 = 2 We need to find a1, a2, a3, a4, a5

Q: 2. Solve the DE: -+secx(y-2sec³x+2 sec² x tan x) + y cotx=0 dx

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Q: Verify the identity. sin 5x √√2 (sin x- cos x) Write the left side in terms of a sum or difference…

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Q: 52+45 lim x 9 x² + 13x + 36

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Q: 6. Find y" give y = 7³x a) 21³x In(7) b) 63³x In(3) c) 3(7³x)ln(3) d) 9(7³x)(ln7)

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Q: The rate for parking in the short-term lot (maximum of 12 hours) at the seaport is $1.50 for the…

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Q: The indicated function y(x) is a solution of the given differential equation. xy"+y=0; y₁=In(x) Use…

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Q: Given the function g(x) = 8x³ + 12x² − 288x, find the first derivative, g'(x). g'(x)= Notice that…

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Q: Write the system of equations 4x + 2y + 2z = 5 - 4x - 3y + 3z = - 4x - 4y + 5z = - as a matrix…

A: The solution is given below

Q: Evaluate the integral: r+∞ 1 dv v²+2v-3

A: We will find the integral.