How many different arrangement could be made with the letters in the name KERRY ST GEORGE

Q: Suppose F = (5x - 5y)i + (x + 5y)j. Use Stokes' Theorem to make the following circulation…

A: We need to solve using Stokes' theorem.

Q: 5. Evaluate the integral using the following: . Formulas: a. [²x²³ dx = 4/7/ [²³x³dx x³ dx b. L'a…

A: To evaluate the given integrals.

Q: Eliminate the parameter. Graph the curve and indicate orientation. Show points on graph x X = = √t…

A:

Q: Suppose f''(x) = 54x − 12, ƒ'(1) = 8, and f(1) = = - 13. Then f(x) Question Help: Video Written…

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Q: Determine the second derivative of the parametrically defined curve represented by the equations…

A: dsintdt=costdcostdt=-sintdydx=dydtdxdt

Q: 6. √√³ dx

A: Given query is to find integral.

Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. ∞ (b) Σ…

A:

Q: If the sales tax 4% and the purchase price is $263, what is the amount of tax?

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Q: Evaluate the indefinite integral. Use C for the constant of integration. S sin (+) √ 1 + cos(+) d+

A: Find the indefinite integral

Q: Parameterize the ellipse given by x (t) = y(t) = 25 = 1 so that when t = 0, we have the point (5,0).…

A: Given Equation:- x225+y21=1

Q: The graph of y=x ln x-x where x > 0 is shown in Figure 6 (a) (i) Show that = ln .x. dr 2 4 2 0 -2-…

A: Given graph of a function y=f(x)

Q: Which hyperbolic identity corresponds to the trigonometric identity sin²(x) sinh2(x) = | 1 -…

A: Find the hyperbolic identity

Q: When f is the function defined by 2x - 5, x ≤ 1, 1, f(x) = S 5x 52 – 9,

A:

Q: Which graph represents the reciprocal of y=(x+2)²-3? A B La C D U home

A: The function is  y=(x+2)2-3

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

A:

Q: A truck with 48-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of the wheels in…

A:

Q: Find the volume formed by rotating the region enclosed by: x = 7y and y³ = x with y ≥ 0

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Q: The acceleration of an object (in m/s2) is given by the function a(t) = 7 sin(t). The initial…

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Q: If f'(x) = cosx-9x²- 1 Xx

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Q: Consider the region bounded by the line x = 2, the curve y = ln x and the x-axis. Setup an integral…

A: NOTE: Refresh your page if you can't see any equations. . the area is bounded by  the equation of…

Q: Where does the relative maximum value of f occur when f'(x) = x³ - x? (a). -1 (b). 0 (c). 1 (d). 2

A: concept first find x when f'( x ) = 0 if f''( x ) < 0 then maxima will occurs if f''( x ) > 0…

Q: 27. [" (Se* + 3 sin x) dx

A:

Q: 1. Write as a piecewise function f(x) = |x +4| X- - 5*

A: put x+4=0x=-4when x≥-4 , f(x)=x+4when x<-4,  f(x)=-(x+4)=-x-4

Q: roble ind the derivative of eacl 2t (a) g(x) = 2² ²4 dt fx² -2 t³+1

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Q: Evaluate the given integral: S 0 4 sin x cos x Cos 2x dx

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Q: The integral ₁ |102² – 2³ – 24x| da MUST be evaluated by breaking it up into a sum of three…

A: The given integral is:∫-15 10x2-x3-24x dx

Q: Question Determine the derivative of the parametrically defined curve represented by the equations x…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A:

Q: Which interval is f increasing when f'(x) = x³ - x? (a). (-∞,0) (b). (-1,0) (c). (-1,1) (d). (0,0⁰)

A: we need to find out the intervals where function is increasing.

Q: If the two adjacent sides of a rectangle are always on the legs of a triangle, what is the length of…

A: let longer side of the rectangle = xlet shorter side of the rectangle = y

Q: Evaluate the integral by making the given Substitution. (Use ( for the constant of integration.)…

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Q: Approximate [¹52x + 1 dx using each of the following Riemann sums with 3 subintervals of equal…

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Q: 42. Given that "sin'x dx-, what is sin¹0 do?

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Q: 7. g(x) = f' √t + 1² dt

A: Given query is to find the derivative of the expression.

Q: Evaluate the integral dx (3x + 5)²' by making the appropriate substitution: u = dx (3x + 5)² 11

A: ∫xndx=xn+1n+1+c

Q: Solve the FIRST ORDER LINEAR D Linear in r sin e dr de -1 - 2rcos 8

A: We have to solve  thegiven   First order linear differential equation  which is linear in r.

Q: Evaluate the integral 28 fx³ (26 – 9) ²8 d. - = – 9. by making the substitution u= 26 + C

A: To solve the following problem of Integration

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: The given curves are: y=ex,     y=0,     x=-1     and     x=1

Q: 2. Building X is 100ft tall. Building Y is 200ft away from building X, where the distance is…

A: We can solve the given problem by using the trigonometric formulas.

Q: Consider the function f(x) = 3 x3 27 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

A:

Q: Use integration by parts to evaluate the definite integral: 97.18 In (8r+4) dr = 8.92

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Q: 4. Calculate the integral assuming the following: a. f² f(x) dx = 5₁ g(x) dx = 1 5, S² 12 4 fo b.…

A:

Q: 6. Sketch the graphs of the functions, f(x) = 2* and g(x) = x - 1 on the axes below. Then, on the…

A: we need to graph the functions.

Q: Find the general antiderivative of f(x) = 3x5 + + C ت | يع +6√T

A: Given: f(x)=3x5+3x-4x2+6x

Q: 3. Using vertical Shrinking and stretching, sketch the graph of the given functions in the same…

A: I have solved step by step in detail....go through the solution

Q: Solve the FIRST ORDER LINEAR D.E Linear in y y' = x³ - 2xy → when x = 1, y = 1

A:

Q: 28. Alcohol Concentration The following graph shows the ap- proximate concentration of alcohol in a…

A: We need to find area.

Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

A: The Solution is given below:

Q: ) = ť² + 2t − 1 and y(t) = t³ + 2t + 2? ect the correct answer below: There are not inflection…

A: We will find the required.

Q: man wants to set up a 529 college savings account for his granddaughter. How much would he need to…

A: Given: The future value, F = $50000 Interest rate, i = 8% Time, t = 15 years