Find the domain and range of the following function: f (x)  {(2,3),(3,4),(5,7),(10,3)}

Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x)…

A: To find the following values.

Q: Find y': y=V5+2 — 2 O y = 7-2x 2√5+2x-x² Oy = √2-2x 1 Oy = 2√5+2x-x² 1-x O y = √5+2x-x2

A: We have to find derivative of given function.

Q: Sketch the graph of f and use your sketch to find the absolute and lo f(x) = sin(x), 2 absolute…

A:

Q: The first thing “e” wanted to do is to “Calculuize” his favourite game, apples to apples. So, one…

A: A box for the apples to apples game such that its width is exactly three times its length and its…

Q: A kite is 30 ft. high and is moving horizontally at a rate of 10 ft./min. At what rate is the string…

A: Calculate the rate in the following way:-

Q: Evaluate: [x(1-2²) da ¾ O ³(1-x²) + C 3 0-² (1-x²) O 3 + C O 2/(1-x²) + C 3 O ㅇ글 (1-22) : + C (1-x²)…

A: Here we have to find the integral.

Q: Find the general solution of the differential equation y" 10y +34y = 0. NOTE: Use cy and ca as…

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Q: Find the first derivative of e O - (3x+2)e-³r x3 O (3x+2)e-31 x4 O(x-2)e-³x x3 O- - (3x²+2)e-3x x3…

A: To find the derivative of the given function.

Q: Consider the functions f (red) and g (blue) y 10 12 for these functions we have that the line y=8 is…

A: Topic = Limits Just 1 is true.

Q: In the attached figure are represented the continuous functions g: R → R and h: R → R 9 h If it is…

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Q: Question 7 Find the partial derivative of z with respect to x 8: da = -2x (3x²+1) sin(x²) + 6xcos…

A:

Q: Let f: A→B be a function, and X⊆A.Prove or disprove: f(f^−1(f(X)))=f(X).

A: Let f: A→B be a function, and X⊆A.Prove or disprove: f(f^−1(f(X)))=f(X)

Q: Find both first partial derivatives. z = 8y2 sqaureroot x

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Q: Evaluate f(2x² + 3x + 1)5 (8x + 6) dx

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 14, (1,…

A: We have to solve given Questions.

Q: Write a function of x for each rule given. a) Multiplies the input by 3 and then adds 9 b) Adds 9 to…

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Q: Stan 2xdx O-In(cos 2x) + C O-In (cos 2x) + C O-In (sin 2x) + C O tan² 2x 2 + C

A: INTEGRATION

Q: The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated…

A: Given  A=7716-32-72-113214432-59   λ=-3,5,5

Q: dy Given y³ In x + x¹e³y = sin-¹(xy), compute da

A:

Q: Find the general solution of the following differential equation. 25y" +10y + y = 0 NOTE: Use c₁ and…

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Q: -1 Let f(x) = tan-¹ e²². Find f" (x).

A: The solution is given below

Q: f(3x² cot 2x³ csc 2x³) dx O-csc 2x³ + C CSC O csc 2x³ + C Ocsc 2x³ + C CSC O-csc 2x³ + C

A: We can solve as follows

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Q: Find y': O 2(x + 1)(x + 2) ○ (x + 2) (3x + 4) O (x + 2) (3x + 2) (3x + 4)(x + 1) y = (x + 1)(x + 2)²

A:

Q: If f(x) dx = 3 and g(x)dx = −2, then which of the following must be true? I. f(x) > g(x) for all a ≤…

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Q: Q2A)Matrix 4 = [],find Eigen values of 4². A

A: The given matrix is  A= 1342. We have to find eigenvalues of A2. Eigenvalues are the roots of the…

Q: Find f'(0) if f(x) = = ad-bc d² ad+bc d² bc-ad d² ad-bc (c+d)² ax+b ca+d; a, b, c, d constant

A:

Q: 2. Derivative of f(x) = - 9x + 4 is: a) 9 b) - 9 c) 4 d) 0

A: Derivative of constant is 0

Q: Q6A)If y=sin-¹ find Zxy.

A: partial derivative

Q: Consider the graphic representation of f 1 -3 According to the graph, which option is true? (Existe…

A: limit

Q: Concept Check: Evaluate the following integrals: y² + 4y - 4 dy 3. √√y

A:

Q: Find , given y = 5² 6n² a dy dx

A: ddx(5x6ln2(x))We know that…

Q: Find an equation of the tangent line to the graph of y = x³ 3x - 1 at the point (2, 1). - 09x+y+17 =…

A: We can solve this as follows:

Q: Suppose that f is a function that is continuous at a number c. Which of the following statements I,…

A: use the definition of a continuous function

Q: A particle moves in the yz-plane along the curve represented by the vector-valued function r(t) = (4…

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Q: The graph of the function y = f(x + 76) can be obtained from the graph of y = f(x) by one of the…

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Q: Use polar coordinates to find the limit. [If (r, 0) are polar coordinates of the point (x, y) with…

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Q: Determine dy/dx of = 3x(sin(2/2)) O None of the choices O 12/cos (2/2) + sin(2/2) 0-12 sin(22) + 3…

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Q: d²y dx² - dy 4 + 7y=0 dx

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Q: e The median weight of a boy whose age is between 0 and 36 months can be approximated by the…

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Q: If f (x) = 1 and (a, ƒ(a)) and (a + h, f(a+h)) are points on f(x), where h = 0, then 2x -1 f'(a) =…

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Q: π/2 B)Evaluate the integrals: i) f/2 sine rdrde, π/2 ii) f/25/2 sinxz² siny dz dy dx.

A: See the details solution in below

Q: Determine where the function discontinuous. [-(x+2)² +1→x≤-2 f(x)=x+1→-2≤x≤3 [(x-3)² −1→x>3 Using…

A: the given function,  f(x)=-x+22+1,x≤-2x+1,-2≤x≤3x-32-1,x>3

Q: Q2A)Matrix A 14 2 find Eigen values of A².

A: We can solve this as follows:

Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find f(x)* g(x) 2. h(x)/ f(x) 3.…

A: Given, f(x) =(2x-3) g(x) = -4x2+9 = 9-4x2 = (3)2-(2x)2 = (3-2x)(3+2x)  h(x) = 4x2-12x+9 =…

Q: Find the consumers' surplus at a price level of p = $150 for the price-demand equation below.…

A: Given p=400-0.02x

Q: There are $448 available to fence in a rectangular garden. The fencing for the side of the garden…

A: Given that , Total available cost = $448 Road side cost = $12 per foot and other side cost = $4 per…

Q: Given that f(x) = (x - 6)² and g(x) = 1 and g(x) = 1 – 2x, find

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Q: Evaluate the integral. 2 Ỉ -1 7t sec ¯¹t dt 2/√√3 2 7t sec¹t dt =

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Q: (A) Find the integration factor of the linear differential equation y' −2(tan x + x)y = xex

A: To find the integration factor of the given differential equation.