1. Show that z³+y³ lim (x, y) (0,0) 1² + y² does not exist.

Q: Numeric Response 1. The Math Department is made up of ten math teachers, 4 male teachers and 6 fema…

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Q: Evaluate the indefinite integral given below. Provid [(-3x - 3)¹ dx

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Q: 300 150 Find lim f(t) and t-4- lim f(t) = t-4- lim f(t) = t-4+ 4 lim f(t). t-4+ mg mg 8 12 16 t

A: Follow next step

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Q: Given F(x) below, find F'(x). et -1₁° 0 F(x) = (1³ + 7) dt

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Q: 1 dx 49 1 42 49 arcsin 7x) - 49 sin 2 arcsin 7x+C (2x) 2 (1 x)) X

A: Given, ∫ x249-x2dx

Q: 18. Up to what derivative is the derivative of y = x6 + 2x5 - 4x4 + 7x³ becomes 0.? a. yv b. yu c.…

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Q: 10. The y" of y = (2x¹ + 4x³)(3x¹ − x³) is - a. 336x6 +420x5-120x¹ C. b. 336x5 +420x4-120x d. 48x7…

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Q: 4. y" + y = 2xsinx

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Q: 8 The angle between 0 and 27 in radians that is coterminal with the angle -π in radians is 3

A: The answer is given below:

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A: f'(x) = limh→0f(x+h)-f(x)h ( first principle derivative)f(x) = 5x+2Apply first principle derivative…

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Q: If f(x, y) = 49 - 7x² - y², find fx(1,6) and f (1,6). Illustrate with either hand drawn sketches or…

A: Given problem:- If f(x, y) = 49 - 7x2 - y2 ,find fx(1, 6) and fy(1, 6). Illustrate with either hand…

Q: What is the distance of the rider from the vertical line after 16 seconds?

A: We have to find the distance of the rider.

Q: Find the area of the region described. 4 1 The region bounded by y = and y = - 1-x 2

A: To find the area bounded by the curves y=43&y=11-x2. The region bounded by the curves is:

Q: Find the value(s) of k that makes the given function continuous. (-x+2 if x < k f(x) = 4x + 3 if k ≤…

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Q: y sin(xy)dady csc²0d0dr ze-² drdydz (a) T/2 (5) [72² 1/2 π/2 ©fff (c) Jo Jo Jo

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Q: Name: OPEN ENDED QUESTIONS: Prove each Identity: 15 A. Seco Sine Tane + Cote Sin²0 15 B. Csc²0…

A: A detailed solution is given below.

Q: 11.f (4x+5)dx √√1-2x

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Q: Activity Predece A A A B Find Draw of network analysis A B C₂D | F GEF

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Q: Let A(0, -2), B(0,4) (1) Find the set of all points P(x, y) such that m(PA)=2. m(PB) (2) Convert the…

A: This question can be solved using the concept of distance formula.

Q: The height​ (feet) of a ball launched in the air t seconds after it is launched is given​ by:…

A: The height​ (feet) of a ball launched in the air t seconds after it is launched is given​ by:…

Q: Given f(x, y, z)= x cos(y - z), find: (a) 821 дудх (b) 821 дхдz (c) (d) 82f дх2 231 ?хдудz

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Q: 5 sin coso do 2 Sin ² + 3 sin 0 -4

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Q: L'²₁ (r + 1)² dr

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Q: B) Find the area between the parabolas x = y² - 1 and x = = 2y² - 2

A: We have to find area between the given parabola.

Q: Find the volume of the parallelepiped whose edges a A =î - 13ĵ+ 4k, B = 31+ 2j-7k and Ċ = î -

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Q: Find the constant a such that the function is continuous on the entire real line. f(x) = √5x², x ≥ 1…

A: We need to find a.

Q: 17. The general solution of the equation (x³ + 3xy²)dx + (3x²y+y³)dy = 0 is A. (x4 + 6x²y² + y4) = C…

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Q: 3x+5 Find S dx (Using substitution method). √3x-7

A: This question can be solved using the concept of integration by substitution.

Q: For the function g whose graph is shown, find a number a that satisfies the given description. 0 2 4…

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Q: (d) Ꮭ /2 sin 6 er cos 0 r²dzdrdo

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: .fx cos² x dx

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Q: Create a table of values for the function and use the result to estimate the limit. Use a graphing…

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Q: əz Find and ?х if x-z = = arctan(yz) defines z implicitly as a function of x and y. ду

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Q: 5. fe²x sin x dx

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Q: •La Evaluate doc (1+√

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Q: The graph of the function f(x) is shown below. At which point(s) is f not differentiable? At which…

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Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the…

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Q: 2. How many numbers between 500 and 2000 can be me made using the digits 1,3,5,7,9 without repeating…

A: Digits: 1, 3, 5, 7, 9Between 500 and 999:without repetition:The first digit can be 5, 7, 9.The…

Q: Q.3) +4x+8 dx m a) tan-1/3+2 +c b) in 2 + c c)e()+c d)+c

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Q: F. Determine whether each linear system is solvable. 4. x = 2 (mod6) 5.x = 2 (mod6) x = 5 (mod9) x =…

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Q: What is the formula for the nth term of the sequence 5, 8, 11, 14, ...?

A: The given sequence 5, 8, 11, 14,........

Q: 3. [Arccos 2xdx

A: To integrate

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Q: Consider the function F, that assigns x in its domain to x² - 1 F(x) = |x-1| In its domain. a. What…

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Q: State the order of the given ordinary differential equation. (1-x)y" - 3xy' + 6y = cos x Determine…

A: Order = highest derivative order = 2

Q: Consider the following. f(x)={-2x - 4x + 3, x≤ 4 X > 4 Find the x-value at which f is not…

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