Solve the following: 1. Create a table, a verbal description, and a piecewise function to represent the graph. Buffet Prices 4. 12 16 Age (yr) Price (S)

Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

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Q: x2 – 3x – 2 if x 4 f(x) = V2x + 1

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Q: Sketch the graph the integrands and use areas to evaluate the integrals. + dx -2

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Q: { 2+y? if(x, y) # (0,0) if(x, y) = (0,0) xy 1. Given that f(x,y) Is f(x, y) continuous at (0,0)?…

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Q: Suppose that , g(t) dt = v7 rg(x)] dx 1. g(r) dr 2.

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Q: Convert the rectangular equation to an equation in cylindrical coordinates and spherical…

A: We have to convert the given equation.

Q: 2. Write down the name of the conic given by the polar curve r = 6/ (3 - 2 cose). Determine the…

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Q: Find each limit, if it exists. xA + 4 (a) lim x- 00 x4 - 3 (b) lim *+ 4 x- 00 x - 3 (c) x4 + 4 lim

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Q: dy Use an appropriate technique to find dx from x? + y? = (2x² + 2y² – x)*.

A: We can solve this as follows:

Q: 2 Compute limx→16; 1-x2 1 X-1

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Q: Find the area of the region bounded by the graphs of the equations. y = Vx -1, y = 2, y = 0 , x = 0…

A: We have to find the of the  region bounded by the given equations.

Q: Identify and sketch by hand the graph of the quadric surface 25r2 – 25y? – 9z2 – 150r + 200 = 0. You…

A: An equation is given                              25x2-25y2-9z2-150x+200=0We have to identigy and…

Q: Find the Area bounded by: x = -y2 and x =y-2 %3D

A: This question can be solved using the concept of area bounded by two curves.

Q: 3. Find the equation of the final function after all the following transformations have been made on…

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Q: At which point or line is the graph of r = 2 sin 0 + 2 cos 0 symmetric ? Select one: O the pole O…

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Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…

A: Follow the procedure given below.

Q: The graph of a function f is given. Use the graph to estimate the following. y 5 (a) All the local…

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Q: Find the area of the region enclosed by the inner loop of the curve. r = 2 + 4 sin ?

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Q: ft? How fast is the balloon's radius increasing at the instant the radius is 2 ft? A spherical…

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Q: Use Chain Rule to find ds given w = Vr² – 2y + z² and r = cos (st), y = -2s Int and z = s –

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Q: f(Tn) f'(In). For the function f(x) = r- 2x 3. write Newton's formula as n 1 F(In) for solving f() =…

A: See the answer below

Q: Weather condition Sunny Cloudy Rainy Snowy Percentage of days 42% 31% 18% 9% A) 1240 B) 3300 C) 2100…

A: Number of days in 2008 = 366 ( leap year ) Number of sunny days  =42%*366=0.42*366 Number of people…

Q: Current Attempt in Progress Evaluate the definite integral. e i + e='j+t k )dt

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Q: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 =

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Q: Let й -, й- where A and Bare some constants. Given that ü+ 50 = find the value of the product A.B.…

A: A. B=48

Q: Find each limit, if it exists. (a) lim + 4 x-00 x - 3 X4 + 4 (b) lim X 00 x -3 + 4 (c) lim X- 00 x3…

A: All the limits are in indeterminate form, just taking common  some power of x from numerator and…

Q: 10) Find T4(x), the degree 4 taylor polynomial of the function for f(x) = cos(5x) centred at c = 2n…

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Q: (5) Find the volume of the wedge in the first octant that cut from the solid cylinder x² + y? < 4 by…

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Q: Find the sum A+B+C of the constants A,B and C appearing in the Taylor series expansion given below:…

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Q: Sixth derivative of a sixth degree polynomial is a line. Select one: O True O False

A: Given : Sixth derivative of a sixth degree polynomial is a line. To find: State whether the above…

Q: 5- If Die is rolled find the probability that never appear 2 a) b): d) 3

A: Answer is given

Q: Given yz = ln(x+ z), find dz and dz fie

A: As we know that; The Power law; ddxxn=nxn-1 The Chain rule; fgx'=f'gx·g'x And c·f'=c·f' ; where c is…

Q: .3

A: Given: v={ √2,3√2}

Q: (4) Evaluate S SR e™y-2dA where R is the region enclosed by y = 4x, y = }, y = ± and y = 1.

A: Let's find.

Q: Given that the vectors X1 = () e- -2t ,X1 = (C)e-6t are solutions of a system x' = AX, do they form…

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Q: The amount of garbe, G produced by a city with population p is given by G = per week, andp is…

A: As per our guidelines, we can help you in solving only first problem, rest of the problems you have…

Q: TOPIC: OPTIMIZATION IN DERIVATIVES Directions: Read and analyze each problem carefully and solve for…

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Q: 1) Evaluate lim -12. 3 9-x2 -3 Show every step.

A: lim  (-12)*(-x - 3)*3/(9 -x2 ) x-&gt; -3 here 0/0 form so we use law hospital rule diffrentiate…

Q: 3 The triple integral L (x + 2y – z)dxdydz is equal to

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Q: A radar, using the polar coordinate system, detects that an airplane is currently located at the…

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Q: 3 -18 )x are repeated real, 11 = -3 = dz and the Given the eigenvalues for X' = (C eigenvector is K…

A: Solve the following

Q: 5. A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second…

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Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) dy =

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Q: upper hall of the unit sphere x =) = 32'i+3xj-3 y'k.

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Q: Evaluate the limit lim f(t) where f(t) 7' + 19'\ for t 0. 2 lim f(t) =

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Q: Use the mean value theorem to prove the inequality for all a and b: Isina – sinb| < |a - b|.

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Q: Vx-5 1) Evaluate lim 10. x25 X-25 Show every step.

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Q: Region bounded by: y=1/2x, x=2, x=4. y=0 Rotate about x-axis. Find the area

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Q: Q1// Find the Area bounded by: x = -y2 and x = y-2

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