= - In(- cost) – e sinr, find the value of y' when t= 4 If "y=sin?t+ tant, x=

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Q: sinx dx 7+cos?x 1 arctan /7 (COSX V7

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A: Differentiate y = e^sin2x+sin(e^2x) with respect to x.

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Q: 10. Find the derivative of y = cos /sin(tan 7x)

A: We will find the derivative using Chain rule

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Q: 2. (a) Find the tangent line approximation to sin(x) near r 0. (b) Is the tangent line approximation…

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Q: Suppose y = sin x. What is the x- value between 0 and that corresponds to a y-valué of ? 2 [?]

A: The objective of the question is determine the value of "x" where as y=1/2 in the given function…

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Q: Find for y = 5x sin x+ 10x cos x- 10 sin x. dx Dikdörtg

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Q: of the tangent line to the sine function at the origin. y y= sin(7 x) values with the number of…

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Q: Solve Sin (3x) %3D cos (2x)

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Q: Solve for the derivative Arc sin + Arc cos =0 y y

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Q: Find if y = sin /- cos r and r= 1+ cos-x %3D dx

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Q: The derivative of y = 3 cos (V1-x²) + (1-x²), can be written as sin ( V1-x² ) – ( 1–x²) }) 3x…

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Q: i. S(sin(4x) + cosh(3x))dx

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Q: 4) Given y = 3 sin 2x, Find the Amplitude Interval and Period (x/2, 0) (0, 0) Amplitude interval…

A: Hshshs

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A: Given, ∫(1+tan2θ)dθ  The antiderivative of sec2kx is 1ktankx+C The antiderivative of K f(x) is K…

Q: find the second derivative and simplify the final result 7. y= Arccos(e^2x)

A: To find     d2arccos(e2x)dx2

Q: | cos (nt)sin(at) dt Find

A: This integral can be solved by the method of substitution.

Q: 36. sin x dx, with 6 rectangles using the Right Hand Rule.

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Q: 3 Estimate the error if S10 (Simpson's rule with n = 10) was used to calculate sin(4 x) dx .

A: I=∫03sin4xdx Integrating it- I=-cos4x403=-cos124+cos04=1-cos124=0.0054

Q: What is the derivative of 0.50 sin 2t+0.30 cos t

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Q: If y=sin-t+ tant, xr= - In(-cost)-esinr, find the value of y when +VZe V? -Vzle 2 2/3 V2-e ?

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Q: Find the surface area of revolution of 7 cos(5θ ) between - π/10 and  π/10, about the x-axis using…

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Q: If y = -cos x, what x-value corresponds to a y-value of 1 between 0 and 27?

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Q: 6. x cos x, find the second derivative. 7. y = sin? x, find y dx2 d²y 8. y = tan(3x²), find · dx2"

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Q: Excrcise 3. Using differential, find the approximate value for sin(29°). (29° means 29 degrees)

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Q: 1. ſ tan5 2x sec3 2x dx

A: Let,I=∫tan52xsec32xdxI=∫sin52xcos52x1cos32xdxI=∫sin52xcos82xdxI=∫sin42xcos82xsin(2x)dxusing…

Q: 8) Find the slope of the curve y = Sin³0 and x = Cos³0 _when 0 =

A: Given y=sin^2(theta), x=cos^3(theta)

Q: b) Use implicit differentiation to find for the equation yz? -e** cos (4zx)–3y² =4. F. DO NOT use…

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Q: 106)Find the nth derivative of cosx cos2x cos3x AND ALSO FIND S dx sin?x

A: Cos2x = 2cos^2x -1

Q: In=5 dx Sin^ (x) ( ategrate by parts for findu the Yreduction form (11) by using (i) find In and…

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Q: by implicit differentiation. 8. Find dx sin(xy) = 1+ cosy,

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Q: what is the derivative to y=sin 2t - 2 cos 2t

A: The given function is y = sin2t – 2cos2t.Find the derivative of the function as follows.

Q: 1-cosx 10. Find , if y = dx 1+cos x

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Q: As x gets closer to zero, tan2x/ln(1+x) gets closer to what value?

A: This question can be solved using the concept of L HOSPITAL,'S RULE.

Q: 16. S cot xdx /1 + In sin x

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Q: Find the first derivative: y=sin( cos x)

A: The given equation is; y = sin( cos x )

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A: We have to differentiate the function: y=e2xsin 2x Here two function are in ratio so we should use…

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A: Given. ⇒4lntan-1x=1-y⇒y=1-4lntan-1x Taking derivative with respect to x, we get…

Q: If y = -sin x, what x-value corresponds to a y-value of 1 between 0 and 27? [? ]T

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Q: Sirzy-L652X こつinてy Cos? x CoSz seczK-

A: As per guideline we have to solve the 1st one. For another solution request again

Q: y = k2 (Arc sin) – xvk2 – x² where k is a constant.

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Q: 1. sin?(ešin*t) + cos¯'(2t³ – 5)

A: Solution: ddxsin2(esin2t)+cos-1(2t3-5)