Question 3 Use the trapezoidal rule with n = 5 to approximate %3D 2 cos(x) dx. Keep at least two decimal places accuracy in your final answer.

Q: Question 4 -e-*) dx Evaluate: A '+C 2 B cosh x +C sinh x +C D – sinh x +C E None (F -cosh x +C 2

A:

Q: 11) Ssec()tani) dx 3.

A:

Q: IX. Find y' if 1. (5 pts.) y = 2 In (cos (Tx)) 2. (6 pts.) y = csc² (Arcsec (Va) + e-)

A:

Q: Question 18 ▼ Two cars are moving towards an intersection. One car is 150 meters north of the…

A:

Q: Question 7 Estimate the error if T9 (trapeziod rule with n = 9) was used to calculate cos(4 x) dx .…

A:

Q: Question 8 Find dy/dx of y= sin-!x+ cos-!x dy/dx is Blank 1.

A:

Q: 4. Se2x sin(3x) dx

A:

Q: PART C QUESTION 1 Differentiate the following functions with respect to x: а) y = e3* cosh (x?)

A: The objective of the question is determine the derivative of the given function.

Q: Question 7 If the solution to Je2x sec²(e2x*1)dx is equal to ktan (e2x+1) + C, find the exact value…

A:

Q: Question 9 Find n so that T, (trapeziod rule with n subintervals) is guaranteed to approximate |…

A: ∫05cos(2x) dx       to within 0.01We have to calculate for the n

Q: 4. Find the amplitude, period and phase shift of the function and graph y = 5 sin(2x + n). That's…

A:

Q: Question 18 ▼ Two cars are moving towards an intersection. One car is 150 meters north of the…

A: To solve this problem, we have to establish a geometric relationship between the cars and using…

Q: So dx 27-x³

A: Given integral is ∫03dx27−x3. We have to solve the given integral. Substitute x=3sin23θ…

Q: Question 11 If y = sin?t + tant, x=- In(-cost) - e inr, find the value of y' when t=. 4

A:

Q: CONFIDENTIAL QUESTION 1 of the function y=- dx 4 sin (x*) -2x +6 (a) Find by using quotient rule.

A:

Q: Question 15 Find /dx² at the given point without eliminating the parameter. =0+cos and Y=1+sine…

A: Given: x=θ+cosθ , y=1+sinθ To evaluate: d2ydx2  at θ=π6 We know that we can write dydx=dydθdxdθ

Q: If y=tan(arcsec/x), then dy/dx is sec2(arcsec/x) A x-1 B 2(х- 1) x-1 2(x-1) sec-(arcsec/x) D 2x E…

A: Let's find.

Q: 00 S 6-3** dx

A:

Q: Question 14 d (tanh -'(cosx)) dx A cschx B) -csCx C) -secx D cothx

A:

Q: Question 7 Estimate the error if T7 (trapeziod rule with n = 7) was used to calculate cos(2 x) dx .…

A:

Q: Question (1): Let f(x) = 2x* –- 3x³ + 5x + 1. Find the value of at x = 1. dx

A:

Q: 4 Find a sinusoidal function that matches the given graph. If needed, you can enter =3.1416... as…

A: solution:-

Q: Sheet 3 Q1 :- Find the area inside the curve 1- r =a 2- r= 2a sin e 3-r= 2a cos 0.

A:

Q: Question 12 Evaluate: f 0 tan (0)d0 O E arctan 0 + arctan(0) 0 +C 21 O arctan(0) 0 2 arctan 0 + C 21…

A:

Q: The function y = A sin(wx), A > 0, has amplitude 3 and period 2; then A =________ and w =________

A: We know that a sine function is represented by y=Asinwt has following characteristic given as…

Q: Question 6 evaluate Sa dx A -sin2x +C B -cos2r + C 2cosx + C 2sinx +C

A:

Q: ю 2ах—х e la dx Use gamma or beta laws

A:

Q: QUESTION 18 Compute the following. |-8sin (x) +18csc (2x)cot(2x) dx

A:

Q: Question 4 Given the following equation, determine y'using the methods discussed in class a - y3 =…

A:

Q: Question 4. Use Taylor's Theorem to estimate sin(3) to within 1/60.

A: Follow the steps.

Q: 2ах — х e la dx Use gamma or beta laws

A:

Q: QUESTION 1 dy (a) Determine dx of the following function sinhx x+y = V1+cosh x po.s 5x+3 -dx. Give…

A: The given problem is to find the derivative of given function and evaluate the following integral…

Q: QUESTION 2 Find Y for the equation y = cosh(2x)tanh x+ xp

A:

Q: QUESTION 6 Use differential to approximate the value of cos(48°). Give your answer correct to four…

A:

Q: If y=tan(arcsec/x), then dy/dx is x- (A 2(x-1) X-1 B 2(х - 1) sec (arcsec/x) 2х sec2(arcsec/x) D E)…

A: Solution :

Q: 5) [ e sin e dx

A: Topic = Integration   As per guidelines , At  a time only one question can be answered.

Q: Question 15 Determine the equation of the curve whose tangent line at any point (x.y) is e* – sin x…

A:

Q: Question 7 Find dy/dx. y = x$ sec (–) (A x3 sin 5x cos x + x² sin² 5x () B -x3 sec + 5x4 tan sec (c)…

A: here problem of differentiation we use d(u*v)/dx rule d(u*v)/dx = u*dv/dx + v*du/dx so answer is…

Q: If y=tan(arcsec/x), then dy/dx is x- 1 A 2(x – 1) sec2(arcsec/x) В 2x sec2(arcsec/x) D none of the…

A: We have to solve the problem

Q: Question (4): Find the interval on which function is: Increasing and decreasing, Concave up and…

A: We have given a function;

Q: QUESTION 3 Determine the value of a that satisfy the following equation; sinhx = In(3 – a²) – In(x +…

A:

Q: Question 7: Use the trapezoidal rule with 6 intervals to evaluate * 10 x7 dx ,giving the answer…

A: to find:- Solution of integral function by numerical method as well as by exact method.

Q: Question 18 > Two cars are moving towards an intersection. One car is 170 meters north of the…

A:

Q: QUESTION 2 If y-sin-¹ z, show that d'y Hence, deduce that -(1)-(2) - <- 0. dz = M dz dz

A:

Q: Question 10 Use Gaussian Quadrature of order 5 to approximate 2 6 4 x-1 To how many decimal places…

A:

Q: QUESTION 18 2ay" = 17 when =/2. y' "x= Arctant3, y=V1+r6, find the value of a if O -22

A:

Q: 00 x² So (1+x8)³ dx

A:

Q: Integrate: 5 sin vx dx

A:

Q: 1) y = 25sin(2x + 30°) What is the amplitude, the period in terms of radians and degrees, and the…

A: Solution: The objective is to find amplitude, period and phase shift

Q: Question 21 The slope of the tangent line to the curve at the point where x = = is 00 O DNE O +1 0-1…

A: