H/ find the 27eation of the tang the Cu vue y=(1+x3) at X=1 j٬j

Q: What is lim Sináx, cosx А. 0 В. 6 С. 1 D. Ø (DNE) Ø (DNE)

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Q: Use FTC I to show that x" dx = 0 if n is an odd whole number. %3D Explain graphically.

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Q: H.WI: Find the. of sin(x) from zero to using Trapezoidal rule for area number of divisions n=4.

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Q: In AXYZ, the measure of ZZ=90°, YX = 97, XZ = 65, and ZY = 72. What ratio represents the tangent of…

A: Given: In △XYZ, m∠Z=90°YX=97XZ=65ZY=72 To find: What ratio represents the tangent of ∠Y?

Q: 20. Use u substitution to evaluate. S secrtant 1+secx dx

A: Evaluation of the indefinite integral by substitution method

Q: Line tangeet Find the the equetion of the Cur ve X= 2+ Sec p und at p = to

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Q: Is the functions continuous at the point being approached? lim tS0 sin(pi/2 cos (tan t))

A: Here given function as ft=sinπ2costan t⇒f0=sinπ2cos tan 0=sinπ2cos 0=1

Q: Express (3*) dx as the limit of a sum. 1

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Q: Find thu constont a on b Such that the Sinclion is continuous on the entire X2-3 fex) ax+b, -34X24…

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Q: Find the length of the arc x=(1/6)y³ + (1/2y) from [1,10] Answer:

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Q: a. Prove using the quotient rule: d sec x= sec x tan x dx

A: From the quotient rule, the derivative of the function y=uv is: dydx=vdudx-udvdxv2

Q: of e dydx

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Q: Use the diagram below to match the line/segment to its description: В 1. tangent diameter secant…

A: See attached file for a step by step explanation.

Q: 2. What Is the frequency of the perlodic function f() = 2 tan

A: Given, periodic function is                                    f(θ)=2tan2θ3

Q: Q. Use first principle rule and proue that if y=s %3D secl tand = secx

A: Given: y=secx We know that for any given functiony=fx, first derivative is given by…

Q: differentiate the funtion y = cosh x - sinh x / cosh x + sinh x

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Q: Lim 1 1. Sin?s

A: Since , we have an indeterminate form of type 00 , we can apply the L'Hospital's rule.

Q: Let y = cosh(lnx²) then find y'.

A: Given, y = cos h (ln x2), we need to find y', differentiating the function y with respect to x.…

Q: Refer to Figure. Length QR is called the subtangent at P, and length RT is called the subnormal.…

A: Formula to find the subnormal helps to find the required subnormal. Formula to find the subnormal,…

Q: 2 pt/min=_______pt/h using dimensional analysis

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Q: 155° 19x – 2 15x R U S

A: The measure of an angle formed by secants drawn from a point outside the circle is :  Angle = ( far…

Q: The pt. (x,y) is at a distance 5 from (0,-3)

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Q: Calculate the arc length of y = 15 – 14x over the interval [1,3]. (Use symbolic notation and…

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Q: Find the interval on which the curv 1 y = dt 7+t+ 2t? is concave upward. Note: When using interval…

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Q: Find f'(x) given トhat fcx)= tan Cax - Jx +4ょ3) %3D (assume real number) is

A: Our aim is to find f'(x) where f(x)= tan(ax5-x12+4x-3), where a isassumed to be a real number.

Q: Write the algebrair exorasion as a trigoametric Function ot e where 06oc t/2. 18) x²-16, x= 4 seco

A: you can clearly understand if you follow the below solution

Q: 4 Find the arc length of y = (**) + 2(x+3)? over [1,4]. %3D (Use symbolic notation and fractions…

A: Here we have to find the arc length of the given function.

Q: Suppore velue fx) = x". Find Hhe valhe %3D fli.0) using finst-or for appresimaton

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Q: Use n = 6 subdivisions to approximate the value of Vx +2 dx by the trapezoidal rule.

A: The given integral is ∫06x+2dx and the value of n is 6. Using the trapezoidal rule, approximate the…

Q: C2. By dividing the range into 8 equal parts, evaluate 1 dx using Simpson's rule. 4x +9

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Q: Q3/ By using definition, proof that cot x = dx csc2 x.

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Q: lim z+y? %3D (x, y) (0,0) | along y = 2x? %3D does not erist 25

A: Put y=2x2. Now we have lim(x,y)→(0,0) yx2x4+y2=lim(x,y)→(0,0) 2x2x2x4+2x22=limx→0 2x4x4+4x4= limx→0…

Q: facR,af ischiffontiable at xo gisdiffera tible at to anol

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Q: Sa J (1+ In² sin x)5 “ cot x In sin x dx

A: Let the given integral be y - y = ∫cotx lnsinx1+ln2sinx5 dx           ..............(1)Let,u =…

Q: Given that | sec (x) dx = tan(x) + A and tan(x) dx = ln | sec(x)| + A. Show that O sec2(0) d0 = 0…

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Q: (b) A dilation of P centered at F maps Ponto G. What dilation constant is needed? Justify.

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Q: Let f(x) = sinh x, where sinh x = %3D Find f"(x).

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Q: ind the are length x =3y'

A: Arc length = 8(82√82 - 1) /243

Q: Let f (x) =: 5 +e'+ tanx+ 12*+Vx. Find f (x). For the toolbar, preco

A: On solving this we will get

Q: Lim 1 Sin?x

A: Calculate : limx→01sin2x-1x2

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Given query is to find the interval where graph concave up and down.

Q: 5 f(x) %D sin x

A: Given  f(x) = 5sin x We have to check the continuity of the function on the interval [0, 2π].

Q: Find the area bounded by the trigonometric curves y=sinx and 2.828 square units 1.414 square units…

A: Given that curve y=sinx and y=cosx    from x=π4 to x=5π4To find :Area bounded by the region from…

Q: Find the arc length of y = () + 2(x+1) over [1, 4]. (Use symbolic notation and fractions where…

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Q: How many periods of the function y = sec x are there between = and 3T -

A: Given: So, from the figure, it can be observed that only one period of y=sec x is there between -π2…

Q: Use the trapezoidal rule with n = 20 subintervals to evaluate I = -5 sin² (√0× t) dt

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Q: Differentiate each of the f cosh(x)+1 cos(r)+1 a. Y =

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Q: Use the quotient rule to show that (csc(x))' =- csc(x) cot(r)

A: Given problem is :

Q: dx by taking four 1+x Use Simpson's Rule to obtain the approximate value of intervals.

A: Given: ∫0111+x2dx Definition: If f(x) is continuous on [a, b] then Where, ∆x=b-an

Q: Let A be the area of a circle with radius r. If = 5, dA when r = dt 5. find dt Answer:

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