5 Given sine. and 13 5 0 ₁ + (-1/3) ² - O 5 13 12 13 12 5 ◎[-] 1+ 13 13 12 13 cose= 5 °(9)²+(3)³²- 13 13 N =1 2 =1 12 which of the following can be proven using a Pythagorean identity? 13

Q: Find the values of the following limit. If a limit does not exist, type DNE in the entry box. x-3…

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Q: Let F(t) = (4t+2, - 4e*, 2e-4). Find the line (L) tangent to r(t) at t = 3. L: (x, y, z) - +t

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Q: Find a formula for the function graphed. 2) -8-6-4-2 2 4 6 8 x

A: This is a graph of a piece wise function.see below the equation of function

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Q: Find the values of the following limit. If a limit does not exist, type DNE in the entry box. limx→9…

A: Given; Limx-9(x-9)/[sqrt(x)-3].

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Q: For the images attached Find the limit of the following sequences or determine that the limit…

A: NOTE: Refresh your page if you can't see any equations. . find the limit of the sequence

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A: Please see the below picture for detailed solution.

Q: Suppose that f(x, y, z) = x²yz - xyz³ is a function of three variables. 1. Find the gradient of f(x,…

A: The objective of the question is determine the gradient at  a point and directional derivative at a…

Q: C 1(10) QU

A: Given query is to find the value of the Indicated function.

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Q: limx→4 x²-4x √I-2 ||

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Q: Find the derivative of: 7 sin² (8x³). Hint: sin²(x) = [sin(x)]²...so use the chain rule (twice!).…

A: Given: fx=7sin28x8   As we know that; The Power law: ddxxn=nxn-1 Apply the Chain rule: fgx'=f'gx·g'x…

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Q: Select all the true statements. 4 limx→0 ³ (2+3) lim.→-4 3x 2x+8 lim-0 2x² 5x+3 lima→-2 = ∞ x-1…

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Q: Find the inverse Laplace transform L¯¹{F(s)} of the function 2 F(s) = s² + 5s 6 NOTE: The answer…

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Q: Find the maximum value of f(x, y) = -7x²+2x+4y² +4 on the region x² + y² ≤ 25. Enter an exact…

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Q: Question 2 Find the oblique asymptote of the graph of y = Oy=x+1 y=x+4 Ⓒy=x-3 Oy=x-1 y=x x²+2 2-1

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Q: 1. Estimate y(1.4) with a step size h = 0.2. Answer: y(1.4)~ 2. Estimate y(1.4) with a step size h =…

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Q: A tank contains 80 kg of salt and 1000 L of water. A solution of a concentration 0.04 kg of salt per…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of salt at time t…

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Q: Evaluate the series or state that it diverges. Σ (3) 8 k=2 8 3k Select the correct choice below and,…

A: The given series is (3/8)3k, k from 2 to infinity. Repost the next question.

Q: 5 -5 x dx =

A: Topic = Integration

Q: The cost function for folding bicycles is given by C(x) = 1450 + 900x + 0.1x² and the demand…

A: I am attaching image so that you understand each and every step.

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)= -2 ex cos (yz),…

A: f(x,y,z)=-2excos(yz) P0(0,0,0) A=-5i+3j+k

Q: Find the derivative of the function at Po in the direction of f(x,y,z) = xy + yz + zx, Po(3,-3,1),…

A: Topic:- application of derivatives

Q: 200 2. Evaluate: 22oo(2x – 5)2

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Q: A tank contains 70 kg of salt and 2000 L of water. Pure water enters a tank at the rate 6 L/min. The…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of salt at time t…

Q: Find the absolute maximum and absolute minimum of the function f(x) = 3 sin (x) cos (x) over the…

A: We will find the required.

Q: Find an equation of the tangent line to the graph of the function at the point (-1, 4). y = 4 x y =

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Q: x y April 1 1 122 April 7 7 356 April 15 15 1108 April 30 30 3562 May 5 35 4212 May 10 40 4979

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Q: lim-→-1 O 0 0-2 0 - 12/1 x²+3-2 x+1 O None of the above =

A: To evaluate the following limit.limx→-1 x2+3-2x+1

Q: 12. D(x): = 1800 Vx+1 S(x) = 2√x + 1

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Q: 1. Consider the DE d'y dx2 - 2 dy − 3y = −9x − 3, y(0) : (0) = ² – 1. - dr Verify that y =…

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Q: Given the equation y The amplitude is = The period (exact answer) is: The horizontal shift is: The…

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Q: Find the derivative y'(x) implicitly for the equation y' (x)= 4-2y 4x +3 y 2x + 1³.

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Q: Find the critical numbers of the function. y-2 y² - 2y + 4 g(y) =

A: Given: gy=y-2y2-2y+4.Formula we will use here for g'y : ddyfg=gdfdy-fdgdyg2.

Q: Let R be the region in the first quadrant bounded by y = y = √3x. Represent this region in polar…

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Q: Find the directional derivative of f(x, y, z) = 2³ ay at the point (-5, 1, 1) in the direction of…

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Q: 7x sin²(x) dx =___________ (Apply integration by parts method) O 7x tan(r) 7x cot (x) 7x In(sin(x))…

A: Topic = Integration

Q: A quadratic function f is given. f(x) = x2 + 2x − 1 (a) Express f in standard form

A: Topic = Function

Q: Write Z₁ and Z2 in polar form. Z1 = Z2 = Z₁ = 2√3-21, Z₂ = −1 + i Find the product Z₁²₂ and the…

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Q: > Read over Example 4 carefully. Then show how you decompose the following rational expression into…

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Q: First the pieces: dz dx 8z dy da dt dy dt Use the chain rule to find dz dt || || || End result (in…

A: To find derivative of z.

Q: 5x Calculate all four second-order partial derivatives of f(x, y) = sin | ¹(5). fxx (x, y) = fry (x,…

A: We can evaluate the four partial derivatives by using the partial derivative rules