For the quadratic function given. Find the vertex, the x and y intercepts, axis of symmetry. Sketch the parabola a label the intercepts and the axis of symetry. 5) f(x)- 3(x-3)2 -9

Q: Write the equation in cylindrical coordinates and in spherical coordinates. 4 b) x² + y² =4 15) a)…

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Q: Find the following quotients without using long division and without a calculator (look at the…

A: We need to find quotient.

Q: 39 Find the value of c that satisfies Rolle's theorem for f(x) = 2x^4 -16x I 5. You are a…

A: Given query is to find the the value of c.

Q: Find the length of the curve (image) over the interval [0,1]

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Q: 2. [(9-4x) dx 0

A: ∫04(9-4x)dx∫049dx-∫044x22dx(9x)04-(2x2)04 (9×4-9×0)-(2×42-2×02)36-32=4

Q: aluate the following limit (allowing it to possibly evaluate to ±∞o). 1-4x7 lim x++∞ x7 + 12x

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Q: 522+6 lim 8118 3x² - 3 Submit Answer

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Q: το test the series Σ n=1 -5n e for convergence, you can use the Integral Test. (This is also a…

A: Given: ∑n=1∞e-5n

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: The given function is fx=xx+24. We have to find the inflection point and concavity of the function.

Q: (26) Let R be the region in Quadrant I enclosed by the graphs of y = 4x and y = x³. (a) Find the…

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Q: The amount of money in an investment is modeled by the function A(t) = 700 (1.0198)'. The variable A…

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Q: Find the integral. S₁ 5 5√√x4 X dx

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Q: A partial sum of an arithmetic sequence is given. Find the sum. 5 + 11 + 17 + . . . + 575 X S = 96

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Q: K The equation of a hyperbola is given. Complete parts (a) through (e). (a) Find the vertices, the…

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Q: Use cylindrical coordinates to calculate fff f(x, y, z) dV for the given function and region: f(x,…

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Q: Let f (x) = x¹ - x³ The domain of f is restricted to -2 ≤ x ≤ 4 Find the absolute maximum value of…

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Q: Find the area under the graph of the function over the interval given. y=x³; [0, 2]

A: area is  A=∫abf(x)dx∫xndx=xn+1n+1+c

Q: Solve the equation algebraically. Verify your solution with a graphing utility. 10) 3x²= 25-10x A)…

A: 3x2=25-10x

Q: If n(A) = 59, n(B) = 21, and n(A ∩ B) = 4, find n(A ∪ B).

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Q: 6³ S 3s² +1 =ds

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Q: What is one solution to the trigonometric equation sinx – cos2x – 1 = 0 in the interval [0, 2ㅠ]? ㅇㅠ…

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Q: Find the integral. (9x² - 9x+3) dx (9x² - 9x + 3) dx =

A: The answer is given in step 2

Q: At time t, the position of a body moving along the s-axis is s= t³ - 9t² +24t m. a. Find the body's…

A: Given :   first derivative gives velocity  2nd derivative gives acceleration

Q: The position of a particle moving along a coordinate line is s = 6 + 6t, with s in meters and t in…

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Q: Apply Green's Theorem to evaluate the integral $(y² dx+x² dy), where C is the triangle bounded by…

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Q: Determine whether the following limit is equal to ∞, -∞ or some specific value. 5x³ + 2x 6x4 lim…

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Q: f(x, y) = af дх af ду 1.6 (x² + ( ² ) ²) ¹ * =

A: Given function:- fx,y=x2+y321.6

Q: The velocity of a particle moving along a line is given in metres per second by v(t) = t^ 2 − 2t − 3…

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Q: (1) The amount of money in an investment. is modeled by the Eunction A(4)-700 (100198) the variable…

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Q: The area of a square is increasing at a rate of 64 centimeters squared per second. Find the rate of…

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Q: Arc sin (cos 135°)

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Q: 9) Sketch the graph of a function f(x) on the interval (-4,4) with the following properties. f(x) is…

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Q: 2 2 Suppose f(x) dx = 7 and f g(x) dx = -5. -1 -1 2 Evaluate S (-2 f (x) - 3 g(x)) dx. -1 Remember…

A: given  ∫-12f(x)dx=7 ∫-12g(x)dx=-5∫-12(-2f(x)-3g(x))dx=-2∫-12f(x)dx-3∫-12g(x)dx

Q: Someone invests a constant stream of $80 per year at a continuously compounding interest rate of…

A: Here, ft=$ 80               r=0.1%=0.1100=0.001              t=50 years.

Q: Evaluate the definite integral 5 3 (8x (8x + 10)dx

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Q: 8. Psychology Without further study, as time passes you forget things you have learned. The…

A: To find the amount of information retained by the student after 2 weeks.

Q: 19) tan [Arcsin ()] 2

A: Solution ⇒     tan⁡(arcsin⁡(32))  =?    First, we will solve  arcsin⁡(32)    We know…

Q: For y = a) Ay for the given x and Ax values, b) dy = f'(x)dx, c) dy for the given x and Ax values.…

A: The given function is  f(x)=2x-3,x=2  and  ∆x=2

Q: (i) If lim f(x) = 7, then f(x) must be continuous at x 2 x = 2. True False (ii) If lim_g(x) = x 3…

A: We need to find true or false.

Q: Find the limit. lim xcsc(n+x) x-+ 01 0-1 00 O 0-1/1/21

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Q: (a) Identify the vertex, value of p, focus, and focal diameter of the parabola. (b) Identify the…

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Q: If the function f(x) = ? (3ax² +2bx+1 if x ≤1 is differentiable for all real values of x, then b =…

A: To find the value of b

Q: A railroad's track can be determined using the following graph. Part A: A highway's path can be…

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Q: f(x, y) = (8x — 2у)3 of дх af ду

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: 5 Given sine = and cose: 13 1+ 5 13 5 13 5 13 12 5 0₁4 (3) (4) 1+ 13 13 12 13 12 12 13 13 = 1 =1 12…

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Q: dy Differentiate implicitly to find Then, find the slope of the curve at the given point. dx 2x²-3y²…

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point P (2,0,2) on the…

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Q: iven the sequence an (n+1), what is a100?

A: Given query is to find indicated term.

Q: Find and simplify the difference quotient of f, f(x + h h 22) f(x) = 1 3x A) 0 f(x+h)-f(x) B) -1…

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