Convert the polar coordinates (4, 315) to Cartesian coordinates. (2√3, -2) (2√2, -2√2) (2, -2√3)

Q: ASSIGNEMNT #5 Determine if the function is continuous on the indicated close interval SVx +1 (5- x 0…

A: A function y=f(x) is said to be continuous at x=a iff, limx→a-f(x)=limx→a+f(x)

Q: 4x 20. Write log2 assthe sum and/or difference of ² - 3x - 18 logarithms. Express powers as factors.

A: The given logarthim expression,       log24x3x2-3x-18

Q: Sketch a graph of a rational function that satisfies the following conditions f(0) = 0, f(-4) = 2,…

A: We can draw the graph as follows

Q: A triangle is defined by the three points: A = (8,7) В 3 (5, 2) C = (7,9). Determine all three…

A: Given problem:- A triangle is defined by the three points: A = (8, 7) B = (5, 2) C = (7, 9) .…

Q: Evaluate: J 1+sinx -dx

A: To evaluate the given integral.

Q: dx 4. x²+4x+13

A:

Q: I, Let dlP) S-a). End fIt) Sta

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Q: Use the first derivative test to determine the location of each local extremum and the value of the…

A: For given function  f ( x ) = 2 * x * e-5*x we have to find local extremum and it's functional value…

Q: 1. Below you are given the graph of the function y=(1). Use the graph to answer the questions. a)…

A: Given the graph of the function y = f(x)  i.e. as we put the value of x in function we get value of…

Q: Evaluate the following limit and show the complete solution

A: Given limit is in the form of 0/0

Q: x²+6x , |2x-4 , x<a Find all values of a such that the function, g(x)= is continuous xz a…

A: g(x) is continuous everywhere if it is continuous at x=a as…

Q: [sin 3xsin 2x dx 3.

A:

Q: Convert x 2 + y 2 = 8 to a polar equation. r = 4 r² = 8 r² = 64

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Q: Find an equation equivalent to x²+ y² + 2z²+ 2z - 5 =0 in spherical coordinates.

A:

Q: () x² cos ,2 dx 3.

A: Given problem:-

Q: lim 2 + 9x° (1 + x ) ( 3 + x* )

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: TT Consider the region D bounded by y = cos(x), y = 8 + cos(x), and x = + 3 y y = 8+ cos(x) 8 6. 4 y…

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Q: Consider the following problem: a box with an open top is to be constructed from a square piece of…

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Q: Calculate the derivative of the function. HINT [See Example 1(d).] f(x) = |-9x + 8| f '(x) =

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Q: Given the function: if x 1 Find A given that f is continuous at x 1. f(x) = %3D

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Q: Cases and Complements 1. A group of four animals will be selected for adoption from a group of 10…

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Q: 5x dV, where E =    (x, y, z) | 0 ≤ y ≤ 2, 0 ≤ x ≤  sqrt4-y^2, 0 ≤ z ≤ 6y   evaluate triple…

A: Answer is 60

Q: а. 1 b. 5 с. -1 d. 2 2. S(x) = 3x² %3D а. 3 b. 2 с. 6 d. 12

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Q: (sin 3x sin 2x dx 3.

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Q: Find the solution. dy 31 +9y=2ty 5/3 dt

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Q: x =r' +1, y =r -t = t a) Find dy/dx

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Q: nction f(x) whose second derivative is f''(x) = 7x + 3 sin(x) )) = 3 and f'(0) = 2.

A:

Q: The x-intercepts of f(x)=x°+ 11x²+ 10x are: %3D O a. (0,0), (1,0) and (10,0) O b. None O c. (-1,0)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Evaluate the given integrals. Please Show the complete solution. Identify the u , du and other…

A: We have to find the integral

Q: x In y dy dx -1J

A:

Q: i 1 2 3 4 0.25 0.5 0.75 1 f (x) | 0.000|| 0.060 | 0.172 | 0.159 | 0.050 (a) Sketch the area…

A: Let's find.

Q: Calculate v X w: v = (0, 6, 6), = (8, 7, 3) W

A:

Q: Perform the operation and write the result in standard form. 3 4 1+i 1-i 7. +

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Q: What is a total weight of 7 basketball that weight 22 ounces each

A: Given each basketball weight is 22 ounces

Q: Consider the transfer function: Y(s) s+2V3 H(s) X(s) s2+2s+8 What will be the stationary response…

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Q: 5) = -?². (*+). Suppose that cos (x) = and cos (x + Find the value of sin (x + Make use of the…

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Q: (1 point) Find a vector orthogonal to both (-5, –2, 0) and to (0, -2, 5) of the form (1,

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Q: Find Ay for the given values of x1 and x2. 3x-7 :X= 2, Ax = 0.1 X-1

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Q: a. What is a convergent sequence? Give two examples. b. What is a divergent sequence? Give two…

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Q: Let f''(x) = 2x + 4 and suppose f'( – 1) = 6 and f(– 1) = 3. Find f'(x) = and find f(3) =

A: Given,            f"(x) = 2x + 4,           f'(-1) = 6,           f(-1) = 3

Q: The raius of a circle is randomy chosen fro the interval (0,10). Determine the probability that the…

A: Let, the radius be r, which belongs to the interval (0, 10)  So, 0 &lt; r &lt; 10  The area is, A =…

Q: amplitude: period: phase shift: 6.

A: Follow the procedure given below.

Q: 4. 4. | cotx csc*xdx

A: We have to find the integral

Q: Find the limit. 3x +3 lim 12x2 - 8 > Next Question

A: Given query is to find indicated limit.

Q: у" - у' - бу %3 exp(-x) - 7 сosx

A: answer is in next step

Q: should i write it with variables like x = 11, y = 11, z = 4? but it says exact number, no tolerance.…

A: The answer has exact form. You will not have to enter the variables.

Q: A. Evaluate the following integrals: 1. Sx² e*³dx et3

A: To evaluate the given integral.

Q: A theorem states that one local extremum implies absolute extremum. Verify that the following…

A: A(r)=12r+3πr2 , r&gt;0SupposeA'(r)=0(-1r2×12)+6πr=0-12+6πr3=0 ⇒r3=126π⇒r3=2π⇒r=2π3

Q: Consider the following. t = − 4?/3 (a) Find the reference number t for the value of t. t =    (b)…

A: We have to find the reference no t and terminal point determined by t.

Q: ot heads his jet due east. The jet has a speed of 450 mi/h relative to the air. The win (a) Express…

A: