Name: Date: 14) Are f(x) = 4x – 7 and g(x) = inverse functions? Prove your answer mathematically an explain. Y= Ux-7 No they ore not since

Q: Evaluate the given function y = C,ea*cosbx + C2ea*sinbx is equal to. A. y" – 2ay' + y(a² + b²) = 0…

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Q: Find function f (x) and gCx) so the giren function can be expressed hcx)=4 as (x+2)?

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Q: Use the alternative form of the dertvative to find the dertvative at x = c (If it exists). (If the…

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Q: V1+3x 1) Find the domain of the function F(x) = sin(x)

A: The objective to find the domain of the function f(x).

Q: Q4:- Find the algebraic form of the following functions:- a) f(x) = tan (secx) -1 %3D

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Q: Where is f(x) = differentiable? %D

A: The objective is to check where f(x) is differentiable.

Q: Q5) Find f) if you know that g(x)= cos(x - 1), f) 3tan(x) at x-2

A: Given: fx=3tanx2, gx=cosx2-1 For finding ffx, we put fx in place of x in given fx

Q: Hiw Find dy for the followng functions- 1-5x +X 2+x 3. y= lacsinfe}} %3D

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Q: f(x) = tan¬1(2x²) – 1

A: Newton's Raphson Method:- Hence Positive root of given equation by NRM is 0.88244

Q: Does the function I(x. y) is harmonic ? Q5) Evaluate: So So x+1) dzdydx

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Q: Find g(x), f(xly); *

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Q: QLi) Find antideriva tive Fa) of the function, an fx) = 5sinx 8+ cosX such that Flo) = I

A: Given,

Q: 41. y= (1+4x)(3+x-x²)

A: see below the answer As we know that  ddxuv=dudx×v+u×dvdx  for u and v are two function of x

Q: AP to Suppose that the radius r and volume V = 4Tr³ of a sphere are differentiable functions of t.…

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Q: H.W Shrink and Stretch the following funetibn along toth X-axi's and y -axis by (8 units) and Sketch…

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Q: ezy + sin ry is D= {(r, y)| z² – y² < 1}. y? The domain of the function f(x, y) Select one: O True O…

A: Statement is false.

Q: Differentiate the function F(t) = arcsin(ln(t)) · arctan(3t²) – arccos(/2). You do not need to…

A: Simplify the given function F(t).

Q: alculate L6 for f(x) = v5x + 2 over [1,3]. Give your answer to three decimal places.)

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Q: Find the anti-derivative as a function (use the insert math tool to input your answer) S xVx-3 dx Xv

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Q: Find the real and imaginary parts of the Following functions z+1 ?

A: To find real and imaginary parts of the function fz=z+1 Let  z=u+iv fz=x+iy So, the real part of fz…

Q: Your answer is incorrect. Differentiate the function P(t) = 5C'e. Assume that C is a constant. P'(t)…

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Q: 2. (x? + 2ху — 4у?)dx — (x? — 8ху — 4у?)dy %3D0 -

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Q: x-1 8. у %3D1og. y = х+1

A: Given y = logx-1x+1 It can be rewritten as y = logx-1x+112y = 12logx-1x+1 Differentiate both sides…

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Answer

Q: The vertical shift of the function is y = -cos(÷ + -4 is 4 units downward. O True False

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Q: Use implicit differentiation to find y', and then evaluate y' for xy-4x° + 16 = 0 at the point…

A: The objective is to find y' and y' at (2, 4).

Q: 3. Are the following functions strictly monotonic? (a) y = -x – 2 (b) у %3D 2x3 + 6х — 4. For each…

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Q: 2 (d) T (z) = VE + 97 -- %3D (e) h (x) = x"- æv2 %3D

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Q: h of the function, y %3D bel your axes clearly. (x)103

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Q: Q3 A) Sketch the function y=sech' x , then write the properties of this function. 30 B) Evaluate Two…

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Q: f(x)=- is stretched toward the y-axis by a factor of , translated to the left 2 unit, then reflected…

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Given function fx=x3-6x2+23x-30 and f is concave upward f''&gt;0and concave  downward f''&lt;0

Q: where t = 2. Let y = (주) When this function is written in standard power function form y = kxP ,…

A: Let y=12x-t where t = 2

Q: nd the point of inflection and discuss the concavity of the graph of the function. f(x) = sin , [0,…

A: Follow next step

Q: 2:- Sketch the following functions (in steps), then find their domains. a) y= b) y= tan

A: We have to sketch the functions and also find the domain. a). y=1sin-1xb). y=1tan-1x

Q: f(æ) = (x + 11)? | f(x) dx +C

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Q: Q:A- Find for the following functions: - 1+x* 1- 1+secy

A: Given: xy21+secy=1+x4 For finding dydx, we simplify given expression then differentiate it

Q: -y . If f(x, y) is harmonic, show that f is x2 + y2' x2 + y2 also harmonic.

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Q: Convert the formula f(t) = 187e¯0.1t to the form f(t) = ab’. Write your answer using function…

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

Q: mat ftoydk = hat f(x)dx: 1 Find the 2 a

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Q: Consider the functional relationship f(x) = 5x +4x-10. At x = 10 the value of y is: Lütfen birini…

A: to find y we plug x=10 in the given expression

Q: Q2 Express the function r 4 cot 0 csc 0 by cartesian form

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Explain with drawing the effect of increasing of each value of (A,B and C) on graph of…

A: The given function is: y=A+B sin (Cx)

Q: cos(t) t5 f(t) f '(t) =

A: given function is             Ft=costt5 We have to find first derivative f'(t)  ** Quotient Rule :-…

Q: 57. y= (x' +4)(x +1)(5x"-2) 2/3

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Q4) r(x,y) = x'/s – ½y? is harmonic ? Does the function %3D

A: The given function isf(x, y)=x13-19x-53y2to check the function is harmonic?

Q: If f"(x) = 6x + 5,J0) = 1,(1) = 3, find (x). %3D %3D %3D

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Q: 3e" da V4-e2a

A: We have to find out the integral

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.