Find the length of the loop of the given curve. x = 9t-3t³ y = 9t² 6 5 e +39 X

Q: Find the equation of the line that is perpendicular to x + 3y = -2 and that passes through (-5,-3).…

A: Given query is to find the equation of the perpendicular line.

Q: a 60° b Find a and b. с 30° Note: Triangle may not be drawn to scale. Suppose c = 3

A: using sin law in triangle sinAa=sinBb=sinCcgiven A=30°            B=60°            C=90°…

Q: Find the area of the region. y = 16 - x4 15 10

A: Area of the shaded region Area ( A ) = ∫x1x2ydxGiven y = 16 - x4

Q: x-1 (a) Use partial fraction decomposition to evaluate x² - 2x - 3 (b) What's another method we…

A:

Q: 6 15-xl dx Explain me! Please Evaluate.

A: We have to evaluate the definite integral:   ∫065-x dx

Q: Series: A Series (Or Infinite Series) is obtained from a sequence by adding the terms of the…

A:

Q: A particle moves according to a law of motion s= f(t), t≥ 0, where t is measured in seconds and s in…

A: According to bartleby guidelines we supposed to the first three subparts of multiple subparts kindly…

Q: (11) Find the average value of the function f(x)=√x on [18]

A:

Q: Find the angle of intersection of the two curves: C1: x12 = -12y C2: y2 = 9x

A: given x12 = -12yy2 = 9x first find the intersection point x24 = 144y2x24 = 144 ( 9x ) x24 - 1296x =…

Q: dy Use implicit differentiation to determine given the equation x + y² = -2. dx dy da

A:

Q: Use Newton's method with the specified initial approximation x₁ to find x3, the third approximation…

A:

Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) +² + 6x + 9 g(x) = 6x + 25 -10 -5 y…

A:

Q: Find the angle of intersection of the two curves: C1: x2 = -12y C2: y2 = 9x

A:

Q: Use the Chain Rule to find dz/dt. dz dt || z = cos(x + 5y), x = 7t³, y = 9/t

A: Given query is to find the value of derivative.

Q: Without doing any initial algebraic manipulation, select all the functions for which you would use…

A:

Q: solve each inequality.   25 x2+16<40 x

A:

Q: For y=2x6−9x3+5x​, find d5y/dx5.

A: Given function:- y=2x6-9x3+5x

Q: Find the area under the graph of g over [-2,3]. (-x² +5, for x ≤ 0, x + 5, for x > 0 3. g(x) = 4.…

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is  so the lower…

Q: dy/dx = 6x^5sqrt(y-1) equals to y = [(1/2)(x^6+c)]^2 + 1? Diff eqn.

A: ∫tndt=tn+1n+1+cgiven  dydx=6x5y-1          dyy-1=6x5dxintegrate both sides

Q: Use the information for problems #6 & 7. Let A = {Bob, John, Sally, Fred, James, Heather, Anna} and…

A: Given information…

Q: /= 36x² - 4 I -dx.

A:

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: irectional derivative of f(x, y) = sin(x + 2y) at the point (-5, -1) in the direction = π/4. ent of…

A: given function is   f(x,y)=sin(x+2y) then we have to find directional derivative of f(x,y) at the…

Q: Evaluate the definite integral by interpreting it in terms of areas. 3 ∫6 (2x−8)dx

A: Topic = Integration

Q: Between 2006 and​ 2016, the number of applications for​ patents, N, grew by about 3.8​% per year.…

A:

Q: Use the definitions listed in Section 6.1.2 with f(x, y, z) = x² + yz, F(x, y, z) = (xy, yz, xz),…

A:

Q: If f(x) = 8 arctan(7x), find ƒ'(x). Find f'(3).

A: Topic - Derivative of a function We are given, f(x)=8arctan(7x)we know thatProduct…

Q: dy Use implicit differentiation to determine given the equation x³ + y² = 7. dr dy dr ||

A: Given equation:- x5+y5=7

Q: Evaluate the following integrals. 1 √(x + a)(x + b) (a) / dx.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Use Newton's method to approximate the indicated root of the equation correct to six decimal places.…

A: Given function:- x4-2x3+7x2-7=0

Q: Determine which limit is of an indeterminate form. sin x lim X→∞0 X X-3 lim x+3x²-9 lim x→0 X lim…

A:

Q: Find the interest rater needed for an investment of $5,000 to grow to $10, 000 in 9 years if…

A:

Q: e the sign change at the transition point F in the figure. y y = f(x) A B CDEF G -X What is the…

A: Given query is to find the correct option for point F.

Q: tan x 2- sec² x 57. 10sin x cos x = 6cos x 60. 8sin²x+6sinx+1=0 54. - sin² x = cos²x 52. sin(2x)-…

A:

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A: We have to find the distance between 12:00pm and 2:30pm.

Q: I Evaluate Answer: sin(10x) cos(10x) dx.

A:

Q: The domain of In(x) + True False 1 x² - 1 consists of all real numbers except x = ±1.

A:

Q: Consider the region bounded by the lines y = √, y = 0, and x = 4. Suppose this region is rotated…

A: According to question,Given Curve,y = x,y=0andx = 4Axis of raotaion through x=-1

Q: Please answer the questions with steps and correct answer

A: See this solution in below.

Q: Find the general indefinite integral ∫ (√x3 + ∛x2) dx  Note: the entire x3 term is under the…

A: Given: ∫ (√x3 + ∛x2) dx

Q: 1. The half-life of a certain radioactive substance is 30 years. Assume we have 10 grams of the…

A:

Q: A forest fire is found at midnight. It covers 1200 acres then. It is spreading at a rate of f(t) =…

A:

Q: Evaluate the integral ntegral = * √(-10 + t) dt

A:

Q: L₂ (x + 2)ex²+4x+3 dx -2 =

A: Given: I=∫-20x+2ex2+4x+3dx    ....1   As we know the common integral, ∫exdx=ex+C   Note: As per…

Q: ermine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A:

Q: dy 1+ dx L = √ √ ¹ + (d) dar dx

A:

Q: Evaluate the integral of the function graphed using the formula for areas of triangles and circles,…

A:

Q: 6 Calculate the area of the surface: b) 13 98√7 20 10 + 15 15 3 64 15 32 15 77 15 16 15 196 7 15 98…

A: The solution is given below

Q: b a C = 60° b C Note: Triangle may not be drawn to scale. Suppose a = 8 Find b and c. 30°

A:

Q: Let f(x) = -2 ln(cos(x)) f''(x) =

A: dlnxdx=1xdcosxdx=-sinxdtanxdx=sec2xsinx cosx=tanx