2 cos-r, if -1 0. r+ cos r

Q: Find the area of the area bounded by the given curves. Draw a figure showing the region and a rectan...

A:

Q: Aline is drawn from point ( 4, 4) to the point (-3,-3), what acute angle does it make with the-ive Y...

A:

Q: Let a = ci + jand b = 16i + 12j. Find c so that the angle between a and b is- 6° Round your answers ...

A:

Q: consider aClosed rectangutar box with a If base side ir measured with elrok at Squar bare and the he...

A: Here, note that the surface area of the rectangular box with a square base is given by: S=2x2+4xy An...

Q: Sketch the region bounded by the graphs of y = v1-x, y 1-, and y = 0. Find the volume of the solid o...

A:

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. y = 5x6 sec(x) y'=

A: Find your answer below 

Q: Example is given: The sum of three consecutive terms of an A.P. is 24 and their product is 440. Find...

A:

Q: * Dis tance be tween a point f e plane : TT: ax+byt cz+d=0, eqn.af aplaneT P. Cxd,) be a pt. d(PT) =...

A:

Q: Given a function f(x,y,z) = (x+9) ln (2y - 3) sin (5z). Find the range of the function. a.[ -1, 1 ]...

A: We know,  Range of sinx = [-1,1] for all real x. Range of ln(x)=-∞,∞ for all real x Range of a (x+a...

Q: Given f(x) = -4x + 2 and x = 5r ln (2s). Find fr (5, 4). Give your answer correct to two decimal pla...

A:

Q: Find the centroid of the region bounded by y^2 =4ax, y=mx about y-axis.

A:

Q: Given a function f(x,y,z) = (x+6) In (2y - 9) sin (6z). Find the range of the function. o a [ -1,1] ...

A: Given a function fx, y, z=x+6 ln2y-9 sin6z.To find the range of the function.

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. f(x) = (6x2 + 9)((...

A:

Q: Can someone explain how (n + 1) and (n + 2) can be integers? and also how can they be bigger than 1?

A: Answer: 1:  The solution is as given below:

Q: uestions: A) find the indefinite integral of the function y = 3t^2 + 2e^3t + 1/t + 2cos3t? B) calcul...

A:

Q: Use Bisection Method to find the root of æ + 10x? – 5 0 that lies in the interval (0, 1) to four-dig...

A: We have to find the root of the given cubic equation using bisection method.

Q: Determine whether the series is convergent or divergent.Write the exact test that you Use. 00 2. n=1

A:

Q: A tour boat used for river excursions can travel 10 mph in calm water. The amount of time it takes t...

A: A tour boat used for river excursions can travel 10 mph in calm water. The amount of time it takes t...

Q: Manny painted a 4 sided figure inside a circle whose radius measure 30 cm. Each side of the 4 sided ...

A: Given that Manny painted a 4 sided figure inside a circle. Radius r=30 cm Side of a figure s=13 cm W...

Q: If the first term of an AP is -10 and the common difference is 2 At which term will the value equal ...

A: an = a + (n-1)d  Here a =-10. , d = 2 and an = 0  Then find n 

Q: Find the area of the parallelogram that has u= 2i – 2j + k and v=j+3k as adjacent sides. NOTE: Enter...

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) (x) - 3x2...

A: For critical points, we take f'(x) =0

Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = e...

A:

Q: Question 7 of 11 > Convert to an equation in rectangular coordinates. r = cos (0) – sin (0) (Express...

A:

Q: Use the method of shells to find the volume of the solid obtained by revolving the region bounded by...

A:

Q: dy 1. Using Logarithmic Differentiation, find given that dx -3 sec-(V) 4*(log2 x)sech z

A: Find your answer below 

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not e...

A:

Q: complex function can be modified by the equation: y = cos(x^3) 3x^2 Find the indefinite integral of ...

A:

Q: Below is the equation of a conic section such that the ordered pair (Fx, Fy) corresponds to its focu...

A:

Q: dz Solve dx log (log 2)². z =

A:

Q: phs of the equations, (b) analytically, and (c) us of the graphing utility to v

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: 1. Evaluate: 00 e3z . Te + e5rjz dz

A: I am attaching image so that you understand each and every step.

Q: Water is leaking out of an inverted conical tank at a rate of 6700 cubic centimeters per min at the ...

A:

Q: 3. * 2+7 sin3x cos2x 2 tan x+ 7 sec x +7 cos x +c C 2 tan x-7 secx +7 cos x +c 2 tan x + +7 cos x +c...

A: The integration of the integral is  (2+7sin3x) /cos2x. 

Q: Simplify

A: we need to simplify 1x-1+x+3x-3+1x+4

Q: Find the equation of the tangent plane to the graph of f(x, y) = In (13x² 10y²) %3D at the point (1,...

A: Solution is written in below steps.

Q: (a) In(1– x) +xe? (b) 2х 2x 1-cos(x) (d) V1+x-1 Check and briefly explain how to avoid the loss of s...

A:

Q: if y = a sin x Prove a +b CosX a cos + b %3D 2 (atb cosx) 11

A:

Q: sinh(3a) s. Solve for f(21)(x) given that f(x) = 3

A: Topic = Derivative

Q: Select each TRUE statement from the options below. Oir2a converges and a Sb for all n, then b conver...

A: As per the company's guidelines we are supposed to solve first three sub-parts for you, kindly repos...

Q: Find the centroid of the region bounded by the curves: y = 2x – x² and y = x

A: Let, is the centroid of the region which is bounded above by the curve y=f(x) and below by the curve...

Q: Consider a, B, t/= 0. A possible graphical representation for the plane of equation Bx + ay +t = 0 s...

A:

Q: Let a = ci + j and b = 4i + 3j. Find c so that the angle between a and b is %3D Round your answers t...

A: Given that a=ci+j  and b=4i+3jangle between them is π6Solution ;cosθ=a.bab=(ci+j)(4i+3j)c2+142+32cos...

Q: Q2: Sketch the polar function r = 6 cos 30 ,-n < 0 < n|

A:

Q: The simple solid Q, drawn in the first octant and generated by the surfaces y – 1 = (x – 2)² 3x + 2z...

A:

Q: 7. a) Find a if csc a=-2.852, %3D b) Using the reference angle a from part a above, show the angle o...

A:

Q: Consider the parallelepiped with adjacent edges u = 8i + 6j + k v = i+j+ 2k w = i+ 6j + 3k Find the ...

A:

Q: Use the rules of differentiation to find the derivative of the function. y = 20

A: Derivative of a constant is zero