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Q: For the function f(x) = x - 8x2 +10 find %3D a) the intervals where f is increasing, decreasing b)…

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Q: Ans for part iii is not provided, habe to find h(x

A: As per our policy we are allowed to answer only first three sub parts of the question.Now,To…

Q: Function )= 0<xS49 f(9) Find

A: f(x) is the function which divided into two parts such that x&lt;0 is x2 and x&gt; 0 is root of x.

Q: sec² x dx V4 - sec² x

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Q: Explain the process you would follow to construct the bijective function you do correspond to the…

A: We show the existence of this bijection by the composition of two map which are itself bijective.…

Q: 1 >Use the following models to consider the function f(x)=; on the interval 1+x? [-5,5]. (1)…

A: The function given is as follows: fx=11+x2 (1) We are asked to find the interpolating polynomial of…

Q: 1- x Evaluate | tan. 1+x

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Q: f(x) = Arc tonX 1-x2 Arcsinx %3D

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Q: Consider the function f(x) =/5x-25 for the domain 5, 0). 1 Find f(x), wheref is the inverse of f. -1…

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Q: 4. Area Estimate vs Actual a) Estimate the Area beneath f(x)=-x' +18x² – 8x + 20 on [4,12] using 5…

A: Given that the function is fx=-x3+18x2-8x+20 on 4,12. It is required to find the estimated area and…

Q: Evaluate (a) 2. Sinx+ X=X (1) Sinx dx T+x²

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Q: Show that the function F= the fallowing canohical tranformatione %3D COS and %3D

A: Determine q from Q=ln1+qcosp and then express q and P in terms of p and Q.…

Q: X-|x Show that f,given by f(x) = (x ±0) is continiuos on R-{0}

A: f is continuous at a  If at x= a L.H.L = R.H.L = f(a)

Q: 2) Find FCO), if it exits Punctien f(z) - 2 if x raticnal if x irraticnal

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Q: Find intervals of theta where f is decreasing for r = -4cos(3theta)

A: Approach to solving the question:Let's find the intervals of θ where the function f(θ) is decreasing…

Q: Rectangle PQRS is reflected across the x-axis. The image is P'Q'R'S'.Which two further…

A: Given Rectangle PQRS is reflected across x axis then image is P'Q'R'S'

Q: 3. Prove properties (3) and (4) analytically, by making x = -t in the part of the Integral from -a…

A: Concept:

Q: E Discuss "The Continuity of y = Sin T

A: We check continuity of given function at x=1

Q: Can you help me with this?

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Q: Function f(x) is positive when 1<x<2, and it is negative when 2<x<3. If the area of the region…

A: the area from 1 to 2 is 5. so we can write the area from 2 to 3 is 7. so we can write

Q: What values of I would you use to calculate a left rectangular approximation of a function on the…

A: The interval is -8, 8 and the number of subintervals is 4.

Q: x Find the natural domain of the function f defined by f(x, y) = and /25 - x² - y² draw a sketch of…

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Q: * Evaluate. (sec6(x)) dx

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Q: determine the contour relationship by letting z = m , m is an element of the reals forz =…

A: Please refer to the explanation below. If you need any clarification regarding the answers provided,…

Q: HoW it aくく! -(メ)す |<X<2

A: We have given function ,  f(x) = 1 , 0 &lt; x &lt; 10 ,1 &lt; x &lt; 2 We know that Fourier series…

Q: しx)f erentiate f メて ×ケ-X arcsin (3x -1)+ In (5x*+3) 6arctan (1-x) . メ9 fon

A: f(x) = sin-1(3x-1) + ln(5x4+3)

Q: By the Fundamental Theorem of Calculus 2+x² Newton-Leibnitz, Theorem) evaluate √x dx

A: We have to evaluate  the given integral  ∫142+x2xdx  by using fundamental theorem of calculus.

Q: csch- x dx , 0 < x < 1

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.