Solve [æ – y cot ( ) dæ + x cot () dy = 0 ; y (5) = 1

Q: Determine the area of the gtven reglon. y = x + sin X Step 1 Note that for the glven reglon, x…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: L x² cos 2x³ dx? After substitution is performed, which of the following is equivalent to

A: Given that the integrals  To find the evaluate and choose the correct answer

Q: Determine the area of the given region. y = x + sin x y 4 3

A:

Q: ry+2 4- (4x2 - ay) dx dy

A:

Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: Let's find.

Q: lim sec x x-(-71/2)"

A:

Q: If S; (x²-1)(2x-x*) dx can be resolved into A S+ B S f(x)dx + D S g(x)dx , then x²+x-2 lim, ° dx +…

A: Partial fractions: The fractions needed to decompose a rational equation are called partial…

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: solution:-limx→1sinx-1x3+4x-5 ,  it is  00   formusing  L'Hospital's…

Q: 24. (EXERCISE) Consider the function f(x)=3x* – 20x' + 42x² – 36x

A: The given function,   f(x)=3x4-20x3+42x2-36x

Q: If z = +3y, find the differential dz. dz =

A:

Q: 16. Given: [ S(x)dx=10; s(=)d& x = ? (x)dx= 3;

A:

Q: y = xx, x 4, and y = 0 Revolve the area of the shaded region about the line x = 4. Using circula…

A:

Q: y 4 (2, 4) y = 2x y = x2 2 Using a vertical element of area, the area of the shaded region is given…

A: Solve the following

Q: k. f(x)=cosh(x³)+ sinh(10x) 1. f(x)=In(x* +1)

A:

Q: Type the correct answer in each box. Create a matrix for this linear system: (3x+2y+z D26 I-4y -11…

A:

Q: Use the chain rule to find the derivative of 3(– 82° – 2=")" - You do not need to expand out your…

A:

Q: So ez dr. Write out the terms of the sum, but do not evaluate it: Sum = On another sketch, represent…

A:

Q: The value x = a is a critical number for f (x). Classify a as a local maximum, cal minimum or…

A: Given f(x) = x^3 -12x^2 Also given x=8 is critical point  now we have check at x=8 has maxima or…

Q: sin ® 3y cos3ydy cos 3y dy

A: We have to find out the integral

Q: Write the first five terms of the sequence {an}. 1 (-1)n + 11) a1 = 3, an + 1 = an

A: We can solve as follows

Q: 9. Find the local and absolute extreme values on k(x)=(x-2)° +3 on | the interval [0,5].

A:

Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A:

Q: 2 | (ax³+ = 2b - bx²+cx) dx x?dx . -2 (A) True B False

A:

Q: 2n+3 {a,} = 7n- 2 7n+4)

A:

Q: Given sin 0=- determine all possible values of 0 over the interval [-2n, 2n]. 2'

A: Given query is to find the value of the Indicated angle.

Q: Identify whether the given is a discrete or continuous variable. 1.The temperature of a cup of…

A:

Q: 1. sin 0 =

A: answer is in next step

Q: Csin $ 3 y cos*3 ychy

A:

Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A: Solve the following

Q: Find the following using the table below. 1 2 3 4 2 4 1 1 4 9(x) 2 4 1 1 4 2 (a), 6 h'(4) if h(x) =…

A:

Q: 4x 9. sech(2x) dx e

A:

Q: g. f(x) =x' +Vx + h. f(x)=sec(3x)+ tan(5x³)

A:

Q: A mass attached to a vertical spring has position function given by 8(t) = 4 sin(4t) where t is…

A:

Q: C6. If FCX) =3x-4,43 li find F'(xland f"(x)

A: We need to find the first & 2nd derivative of the given function

Q: 6) Shared by the circles r = 2 and r = 4 sin 0

A:

Q: Finding the work done in lifting a leaking bag of cement. A bag of cement originally weighing 143 lb…

A:

Q: 4. Given a function, fix), such that f(x)dx = 10, calculate: a) - r(«)dx b) S rx - 2)dx d) Stsx) +…

A:

Q: Differentiate the following using logarithmic differentiation y = x=

A:

Q: 4. A live oak tree casts a shadow 58 feet long, Find the height of the tree if the angle of…

A: Here is the solution:

Q: 3) Find an equation for the tangent line to the graph at the specified value of x. y=x²V5-x² ,x=1

A:

Q: Given line M=-ax+ by+ c, b+ 0 What is the y intercept of the function? C-M -M-C OM-c

A:

Q: 1 dx x(x3000+1)

A:

Q: Evaluate this double integral. Avoid integration by parts. Hint: Can you reverse the order of…

A:

Q: Consider the system of differential equation x1' = t°x1+ 9 sin(t)x2 x2' = e*x1+ t°x2 Write the…

A:

Q: Find the tangent plane to the equation z 2y cos(5x – 4y) at the point (4,5, 10)

A: Given; z=2ycos(5x-4y) at the point (4,5,10)

Q: Consider the system of differential equation x' = 5x – 3y - y' = 9x + 9y Write the system in matrix…

A: To find the matrix A.

Q: is a factor of 2 + 5z2 – 5x +1. - O I+1 O 2z +1 O +2 O 2x -1

A:

Q: 5- y? = 4x (4, 4) y = 2x – 4 (1,-2) Using a horizontal element of area, the area of the shaded…

A: Here  we have to find the area of shaded region.

Q: 0 in quadrant II, find the exact value of: 81 If sin 0= sin 0+ sin 0+ 6. (Type an exact answer using…

A: topic - trigonometric identities sin(a+b)=sin(a)cos(b)-cos(a)sin(b)