Find tan(u/2) if cosu=0.641 and u is in Quadrant-I. tan(u/2)=

Q: Approximate (a) cos 0.8 and (b) cos 1/2 using the linear approximation technique

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Q: Find y' for y = ecos x + tan-1(5x) + (5x² + 1) ?

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Q: FIND DY/DX OF THE FOLLOWING -y=sin' In (x+1)

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Q: 4- Find dy/dx for: a- y = sec?x – tan²x b- y = sec (– x) c- y = sin(tan(3x))

A: As per our guidelines ,we can solve only first 2 subparts of a question.Please resubmit the other…

Q: Find the equation of the tangent line to the graph of f(x) = 9 sin(x) + 4 cos(x) at x = in in the…

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Q: Recall that cos- arccos x. Find r1/2 e sin(cosx) dx. 0.

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Q: Q5-Find for x? + cos(xy) = y dx

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Q: Find the differential of the function. y = theta3 sin(9theta)   dy=?

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Q: findd y = (cos(x))*®s)

A: we have to find dy/dx

Q: cos r In(sin a)dx

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Q: Q1:Find dx for the following a) y = tan-(sinx) + In (sec2x) + 8tan5x + etm

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: tanr sec r dx 3

A: Here we will find the antidarive.

Q: If u = tan -1 x- the value of x2 +y?+xy du at x = 1 and y = 3 is

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Q: Find dx when x = 0, if given y = tan¬ (sinh r).

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Q: Find for the following function. dx 7 sin x 6-5 sin x dx II

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Q: Which of these will represent u in the function * y= sin -1 Vx2 + 3x + 4? Sin-1 а. du V1-u?

A: Using definition of composite function.

Q: . Find L(t cos at } .

A: We will be using the known formulas to arrive at the final answer.

Q: tanx +y = 0 dx

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Q: find the derivative d/du 1/(1+cos2(u))1/2

A: given:    ddu(11+cos2u)

Q: 4. Find when dx tanx a. y e, giving your answer as a function of y. b. y- In(xvx-1), x> 1 sinx-cosx…

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Q: Given: f(x) = / (2 – 4t) sin() - dt %3D tan(2r) 17 – cos(2nt) Find the equation of the line tangent…

A: The tangent is a straight line to a curve that touches the curve at exactly one point. The point…

Q: Differentiate.   y  = Cos h -1(Sin h x)

A: Given inverse hyperbolic function - y = cosh-1sinhxUsing Chain rule, differentiating on both sides…

Q: Find the linear approximation to h(y)=sin(y+1) at y=0. Use the linear approximation to approximate…

A: Recall that the linear approximation of a function y=f(x) at x=a is given by y=f(a)+f'(a)(x-a) Here…

Q: 1. Use a substitution to find (6a2 + 2)e*+# dx showing working.

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Q: y = In tan(x – A) +B

A: Some Important Formulas 1. ddxtanx = sec2x2. ddxsin-1x = 11-x23. sec2x = tan2x +1

Q: a)- Find for, (x+ y)* = tan-14× + T* + InIny dy dx

A: To find dy/dx.

Q: For a cosine function with amplitude A=0.75A=0.75 and period T=10T=10, what is y(4)y(4)?

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Q: Find the linear approximation to h(y) = Sin(y+ 1) at y =0 Use the linear approximation to…

A: This is a problem of linear approximation.

Q: dx 5) prove that sin x+c using method of trigonometric substitution. %3D

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Q: Solve the equation for x, where x is restricted to the given interval. y = 3 tan 2x - 1, for x in…

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Q: The velocity of a particle moving along the x-axis is given by: v(t) = 1 cos(nt), t>0

A: Use the defination of velocity than solve the differential equation by separation of variables.

Q: Let x = 0.46 and y = 4.74. Determine the value of C when you ev |tan-(2x)dx.(Use 2 decimal digit)

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Q: Let x = 0.17 and y = 1.76. Determine the value of C when you evaluate |tan-1(2x)dx. (Use 2 decimal…

A: This question can be solved using the concept of ILATE.

Q: Find dy/dx for the following function y = cosh[sin-'(x²Inx)]

A: Please refer to the image below.

Q: Find y' where y = cos (ze19 =) – gec = Cos ( xe-

A: on doing differentiation with respect to x we get option C

Q: a)- Find for, (x+ y)* = tan-14x + + Inlny !! dx

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Q: 4- Find dy/dx for: a- y = sec?x- tan?x b- y = sec - x) c- y = sin(tan(3x))

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Q: 1. Find for, (x + y)* = tan-14x + T* dx InIny

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Q: Given: = 0 – sin 0; y=1– cose Find: dz2

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Q: Find y" at (2,4) for cos(x²y + 5) = 16. %3D

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Q: Find for the following function: dx 1- y = sin-1 V2x + 3

A: See the attachment

Q: Find a/dx2 at the given point without eliminating the parameter. *=0+ cos0 and y =1+sin ; 0 =n/6

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Q: The approximation of I = , tanx dx

A: The solution is

Q: H.W Find y' for y = ecosx tan- (5x) * (5x² + 1)? COS

A: Given,           y=ecosx*tan-15x*5x2+1

Q: dx It sin x-cos x COS

A: To evaluate:∫dx1+sinx-cosx Solution: We know,cos2x=1-tan2x1+tan2x     ...(1)sin2x=2tanx1+tan2x…

Q: Find the slope of the graph of cos(x + y) = 2x at the point ( 0, T1/2 ). Hint: Differentiate…

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.