The hyperbolic cosine function, denoted cosh x, is used to model the shape of a hanging cable (a telephone wire, for example).  It is defined as cosh x = e^x + e^-x / 2.   a. Determine its end behavior by evlauating the limit of cosh x from x from positive inifinity and the limit of cosh x from x from negative inifnity. b. Evaluate cosh 0. cosh 0 =  Use symmetry and part (a) to sketch a plausible graph for y = cosh x.

Q: Suppose that Xis a continuous unknown with 5< X< 5 and having PDF denoted fsatisfying f ( x ) = c (…

A: Given: fx=c×25-x2                  -5&lt;x&lt;5

Q: Express the limit as a definite integral on the given interval. cos(x¡) Дх, [Зл, бл] Xi lim бл dx…

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Q: Suppose a force of 40N is required to stretch and hold a spring 0.1m from its equilibrium position.…

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Q: Use linear approximation to estimate ln(.99)

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Q: 8. Informally explain how the length of a curve defined by a function be computed with an integral.

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Q: How are the derivative and the integral of a series of powers defined?

A: Consider the following power series with a radius of convergence R &gt; 0. Let

Q: Consider the function fcX) = Vx+8 Part A: us.ng a limit, s how thut f'l1)=- Part B: Find the…

A: Using definition of derivatives (limit form)

Q: Express the limit as a definite integral on the given interval. [4(x;")3 – 4x;1Ax, [2, 7] lim i = 1…

A: Solve the following

Q: Illustrate the setting up limits of a double integral?

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Q: In the indefinite Integral fin(cosh x + e*). sinh x tex cosh x + ex B) In(cosh x + e*) In(cosh x +…

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Q: Express the limit as a definite integral on the given interval. lim (5(x)3 – 7x]Ax, [2, 6] n- 00 = 1…

A: Consider the given limit and interval. limn→∞ ∑i=1n5xi*3−7xi*Δx and interval=2,6 Now, go through the…

Q: Express the limit as a definite integral on the given interval. lim [9(x;")³ – 4x;]Ax, [2, 8] i = 1…

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Q: Express the limit as a definite integral on the given interva lim [2(xf)³ – 5x¡]Ax, [2, 5] n- 00 i =…

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Q: Show that the equalion Compatible 3olutions are and also find its रिकेपन nd देक.र

A: P2+q2 =1 given therefore 1x =pz P =x/z.  ...(1) q2 =1-p2      =(z2 -x2)/z2 q =z2-x2z ....(2)

Q: nich integral represents the length of the graph of y = In(1 – x²) over the interval [0, ]:

A: here option A is true because length is given by =1+(dydx)2dx so here…

Q: Express the limit as a definite integral on the given interval. lim n → ∞  n [2 − 5(xi*)2 + 6(xi*)4]…

A: Given query is to find the integral form of limit.

Q: se limit is a "dx" integral

A: Given as,

Q: Only one of these calculations is correct to evaluate the definite integral Inx dx Select one: Inx…

A: Integral test:  Integrals convergent if the associated limit exists and is a finite number (i.e.…

Q: Differentiate y = In(cosh x) + 2 cosh x O a. sechx (1 cosh O b. cosh x cosh a 2 O c. sinh x с. cosh…

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Q: Express the limit as a definite integral.

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Q: Express the limit as a definite integral on the given interval. [5(x;)3 - 3x;]Ax, [2, 6] n- 00 i = 1…

A: see below the answer

Q: Express the limit as a definite integral on the given interval. lim [4 – 3(x¡*)² + 6(x¡*)>] Ax, [0,…

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Q: how do we identify the minimum and maximum value of the graph of a function at a given intetval?

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Q: Only one of these calculations is correct to evaluate the definite integral Inx dx Select one: 1 Inx…

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Q: Express the limit as a definite integral on the given interval. lim (2-5(x,)² + 6(x;")³] Ax, [0, 4]…

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Q: Make an octave code to integrate ex with respect to dx from 0 to 1, by Simpson’s ⅓ rule. Divide the…

A: Equation is f(x)=exThe value of the table for x and y x 0 0.25 0.5 0.75 1 y 1 1.284 1.6487…

Q: Find the area of the loop of the curve y2=x3 (1-x)6. Show complete solution of points of…

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Q: When we find the area between an upper curve f(x) and a lower curve g(x), we integrate f(x)-g(x).…

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Q: Evaluate the definite integral by the limit definition.

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Q: evaulate the definate integral by limit definition

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Q: 4. Use the definition of integration to find (1+2x' ) dx , that is find lim f(x; )Ax

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Q: Express the limit as a definite integral on the given interval. lim n - 00 -Дх, [1,5] (x*)2 + 6 dx

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Q: Express the limit as a definite integral on the given interval. x; In(1 + x3) Ax, [2, 3] lim 3 dx

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Q: Express the limit as a definite integral on the given interval. cos(x) Дх, [2л, Зл] X; lim Зл dx 27

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Q: Evaluate the definite integral by the limit definition. 3x2 dx

A: Please refer the attached image for complete solution. THANK YOU.

Q: calculate the limit of ln(x) - (e)^x  x goes to + infinite

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Q: 2) By compating aderivatives, find the Tay ior for tixl= la x at

A: By using Taylor series expension of lnx

Q: Find the area under the loop of the curve y2=x4(x+4) using integration

A: An integration formula for calculating the area under the curve will be used. We will calculate the…

Q: The indefinite integral is often called the O antiderivative. constant of integration. derivative. O…

A: Please check step 2 for the solution.!

Q: se limit methods to determine which of the two given functions grows faster, or state that they have…

A: Let f(x) = ex2 , g(x) = e10xIf limx→∞f(x)g(x)=∞ , then f(x) grows faster than g(x)If…

Q: Express the limit as a definite integral on the given interval. cos Xi lim Ax, [3π, 5π] 818 5m 3m dx

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Q: Express the limit as a definite integral on the given interval. cos X Дх, [Зя, бя] lim 6x X dx 3x

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Q: Express the limit as a definite integral on the given interval. lim 8x; + (x;)² Ax, [3, 8] dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Use Simpson's Rule with n = 4 steps to estimate the integral. 5) dx

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Q: In the indefinite Integral in(cosh x + ex)- A sinh x + ex In(cosh x + sinh x tex cosh x + ex In(cosh…

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Q: For a chest x-ray imaging system with a perfect point source. If we require that the intensity…

A: The expression for the x-ray beam intensity Ie at center of imaging screen is: Ie=I0e-μt Here: I0 :…

Q: Use integration by parts to evaluate the definite integral: ∫3se^-4s ds with an upper limit of -0.9…

A: A=3∫abse-4sds , solving A where a,b are upper and lower limits as per questionIntegrate by parts…

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.