Question 2: Illustrated below are two tangent lines drawn at 2 different points on the curve whose function is: 3 = x 3x 2 f(x) : YA /3 f(x)=r³ – 32? Show that the tangents are parallel to each other.

Q: Rewrite the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t b...

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Q: Evaluate the integral SV5+12x² – 4xª xdx 1 -(5+ 12x² – 4xª) ² +C 24 (2x2 – 3)/5+ 12x? – 4xª + 14Arcs...

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Q: Which of the following limit theorem used for transcendental functions is wrong? 1 O lim COS T | O l...

A: topic - limits

Q: dx Evaluate * (1-2x)² (1–2x)² O 1 1 2 O-1 o 1 2

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Q: as x approaches 0 using the table of values? II. -2 -1.5 -1.1 |-1.01 -1.001

A: We have to choose the correct option according to the given information using the definition of limi...

Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

A: Here, the given DE is: y(x tanx+ln y)dx+tan x dy = 0⇒tan x dy=-y(x tan x+ln y)dx⇒1ydydx=-x tan x+ln ...

Q: 1- 2x b) f(г) — x² + 1

A: (b) To find the derivative of  f(x)=1-2xx2+1 The function is of the form f(x)=uv where u and v are f...

Q: tan(e-x) dx Given: ex Find: du e-Xdx - e*dx O -e-×dx xp, O exdx

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Q: Evaluate :// F. d5 , where F = and S is the helicoid with vector equation r(u, v) upward orientatio...

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Q: The present value of a sum of money is the amount that must be invested now, at a given rate of inte...

A: topic - present value 1year =52 weeks

Q: Evaluate the integral tan 4x dx tan? 4x - 24 nltan- O inltan 4x + Vtan? 4x – 24| + C 1 Arcsec tan 4x...

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Q: 10. Using back calculation, find out what the function f(x) should be so that the second derivative ...

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Q: Maximize f(x,,x,)= 24x, – x' +10x, – x %3D subject to *; 58 X, 54 x, 2 0, x, 20 and

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Q: You are an accountant for a manufacturer of radios. The demand function for the tablets is p =40 − 4...

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Q: Determine if the given function is continuous at O. * (x² + 3 f(x) = {3 – 4x (x – 12 x 3

A: This question can be solved using the concept of continuity of a function at a point.

Q: and non-real). (Enter your answers as a comma-separated list.) x3 + 12x2 + 46x + 60 = 0

A: Given query is to find the solution of the expression.

Q: cos a – sin' z Vhen asked on what is the lim which of the following process is not useful to find it...

A: Given query is provide the process of finding the limit.

Q: Given the Table of Values for the given limit, which of the following is FALSE?

A: The objective is to find the false option.

Q: Evaluate the integral dx 2x3 - 3x x |/3x - /2 2/2"V3x + v2 1 +C O 16V2 + V3 In 3 |/2 - 3x +C In +C 2...

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Q: 3 sin? 4t + 8 cos² t

A: Solution: L{3sin24t + 8cos2t} Use the following identity : sin2x=12-cos(2x)12 =L{312-cos(2·4t)12+8co...

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms and radi...

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Q: y = log( cos

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Q: 03 -3 -2 -1 1 2 4. -2- -3 -4- -5+ Determine which one of the following rules for continuity is the f...

A: I am attaching image so that you understand each and every step. Answer of this question is 2 option...

Q: Given D = {(x, y) | Osæs2, sysl } and f(x, y) = xy then evaluate // f(x, y)dA using the Type II tech...

A: We have to find value of double integration over the given region D.

Q: 16. Let p(z) = (x- 1)(x – 2)(xr – 3)(x – 4). Choose the correct statement: (a) For any number u, the...

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Q: S 5e¯x- 6e-3x Given: Find: u 5e2x – 6 O 5e-x- 6e-3x O5e-x- 6e-3x O 5-6e-2x

A: Given:  ∫ex5e-x-6e-3x3 dx To Find:  To find u substitution.    

Q: Given: S 2x (3-5x+)'dx Find: Formula O -2 Ju'du 0 2 fu'du o fưdu Jư du 10

A: Given problem:-

Q: Solve the differential equation with appropriate method. Express final answer free of fractions and ...

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Q: Question 2. Let V = R³, U = {(s + 2t, s, s + t) : s, t E R} and W = {(x, y, x) : x, y E R}. Is V = U...

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Q: f (1,0) Based on the figure above, (f-1)'(0)

A: The figure given is   

Q: y = x² cos sec 3 -1* 2

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Q: The present value of a sum of money is the amount that must be invested now, at a given rate of inte...

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Q: 3. Consider the function f(x)=V x* +3. a) Estimate the area under the graph of f(x) from a = 0 to b ...

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Q: determine whether the lines -2x + y=3 and 3x +3 y = 5 are parallel , perpendicular or neither.      ...

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Q: 1x x*-5 =xp C O None of the other choices

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Q: Solve the differential equation with appropriate method. Simplify final answer free of fractions and...

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Q: The graph below is the function f(x) 4- 2. 4 8. |10 -7 -6 -5 -1 -- 10 -9 -8 -4 -3 -2 -2

A: Topic = Functions

Q: Determine the value of x of the discontinuous function: х — 1 f (x) 3D {3х — 3 (-4x + 3 x 3 -

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Q: In Exercises 47-62, use a sketch to find the exact value of each expression. 47. cos(sin £) 49. tan(...

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Q: Evaluate the integral of the improper fraction using partial fraction method - 2x + 6 + 1 d. 2x-8

A: We have to find given indefinite Integration.

Q: Question 3. Let P be the collection of all polynomials of finite degree. Let I : P → P be the integr...

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Q: f(x) = x2 + 7x +  5 x f '(x) =

A: Given query is to find derivative of the expression.

Q: Find the area enclosed between f(x) = 0.6x² + 3 and g(x) = x from x = -2 to x = 6.

A: Topic:- application of integration

Q: Determine the value of x of: * (x² – 1 f(x) = { x – 1 x < 1 .2 x 2 1

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Q: If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is ...

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Q: A curve has an equation of y x - 6x + 9x + 2. Find the point of inflection of the curve. Оa.(2, 4) O...

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Q: 8. Evaluate lim sin7x. x0 3x

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Q: 4 4e | f(z) = as x approaches 0 using the table of values? !! I. II. -1 -0.5 -2 -0.1 -1.5 -0.01 -1.1...

A: To find the limit at x tends to zero. We need to find limit near to the value x=0 There are four opt...

Q: Solve the differential equation with appropriate method. Final answer should be free of logarithms a...

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Q: (a) Solve the following: (ii) log,(x+3)=1-log,(x-1)

A: