Use differentiation to show that Sec'x + Csc¯'æ = for any a> 1.

Q: Evaluate (*. | (a? + 5) 0. OR Evaluate dr using Simpso o 1+x2

A:

Q: 1. Eliminate the parameter to find a Cartesian equation of the curve with parametric equations z = e...

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: point = (3,5,-7)n=0 i +1 j + 0 kCartesian equation of plane is Ax+By+Cz+D=0(A,B,C)=( 0,1,0)(x,y,z) =...

Q: Evaluate the iterated integral. cos(e) 3r2 sin(e) dr de

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

Q: Find a polynomial equation that passes through the points (1,3), (0,1), (1,3)

A:

Q: Suppose f : N –→ N satisfies the recurrence f(n + 1) = f(n) + 8. Note that this is not enough inform...

A:

Q: | csc*(5x)cot*(5x)dx CSC

A:

Q: lim f(x, y) = 6, then f(1.9, 2.9) = 6- %3D (x, y) + (2, 3) If f(4, 5) = 3 Vf(4, 5) = (-3, 2) then f(...

A:

Q: Find the equation of the tangent plane to x^2/16 +y^2/9 −z^2/36 = 1 at the point (4, 3, 6). Simplify...

A: Use tangent plane formula

Q: Find the limit of the sequence an = In(9n +7) – In n. If the limit does not exist, type "Diverges" o...

A: Solution:

Q: 2 y = 12 – 3x", y= 4 – x- — х |

A: Let's find. 

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A:

Q: (2y – 3x)dx +xdy = 0 %3D

A: Find your answer below 

Q: A. y? = 1+ a? + 22 C. a² + y? = z? %D B. y? + 22 = x? D. 22 = 4+ 4x² + 4y? %3D

A: 1. Answer : V

Q: For the demand function q= D(p) = v 464 – p, find the following. a) The elasticity b) The elasticity...

A:

Q: What is the directional derivative of the function at the point (1, 0) in the direction of the point...

A:

Q: Use an iterated integral to find the area of the region. dy dx = y 10 9 8. 7 6 5 4 3 2 1

A: As we know that; The equation of the line when it passes through the points x1,y1 & x2,y2 y-y1=y...

Q: As an orange grows, the rate of change of the radius r of the orange is inversely proportional to th...

A: Given query is to find differential equation.

Q: Consider the parallelepiped with adjacent edges u = 8i + 7j + k v = i+j+ 2k w = i + 8j + 5k Find the...

A:

Q: Suppose c is a constant. If ) elk-1)c – 3, then k=1

A:

Q: Let f(x) = x and compute the Riemann sum of f over the interval [7,8], using the following number of...

A:

Q: Solve each system of equation using matrices (row operations). If the system has no solution, say th...

A: We have to solve system of equation using matrices (row operations).

Q: TT 2 Cos3 0, cos³ xdx хах

A:

Q: I+x 5. Show that y = has three points of inflection and they all lie on one straigl 1+ x2 line.

A:

Q: Obtain the solution to the following differential equations: 1. y'+3y=e", y(0)=4

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Find the vector component of v = (4, – 1,7) along b = (3, 6, –6) and the vector component of v ortho...

A: We can solve the given problem as follows:

Q: (

A:

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

A: Question- Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary met...

Q: Question 2 Find the left-hand and right-hand limits of the following functions and check whether a l...

A:

Q: Exercises: Sketch the region bounded by the given curves, then find its area. 1. y = x², x2, 2. x = ...

A: Area of the Region between the curves : If f(x) and g(x) be two continuous function on a,b and f(x)≥...

Q: up 4+y 10 -b -8 -7 -6 -5 -4 -3 -2 -1 3 4 5 6 7 8 10 -2 3 -4 -6- Give the equation for the ellipse gr...

A: We can find the equation of ellipse from the graph as below.

Q: Handwritten

A:

Q: Find the limit of the sequence using L'Hôpital's Rule. bn = 3   n ln  1 +  1 n

A:

Q: Recycling Programs The commissioner of a particular city's recycling program assesses that the amoun...

A: for 2008 here t = 8 so put t = 8 in equation N(t) = (200,000)/(2.5 + 3e-0.5t) N(8) = (200,000)/(2.5 ...

Q: given the system of equations: 4x(x2 + y - 11) + 2(x + y2 - 7) = 0 2(x2 + y - 11) + 4y(x + y2 - 7)...

A: We need to solve the given system of equations for x and y: 4xx2+y-11+2x+y2-7=02x2+y-11+4yx+y2-7=0  ...

Q: 45-48 Find the exact length of the polar curve. 48.r =2(1+cos 0)

A:

Q: 1. Consider the sequence d = {5,-2, , 5 5 4 » 8 > 16 > •. -- a. What is the common ratio? b. What ar...

A: Given problem:-

Q: 10 respective An accessories company finds that the cost and revenue, in dollars, of producing x bel...

A: Given query is to rate of change of average profit.

Q: Compute for the dot product between the following pairs of vectors. Also, using the dot product alon...

A: As we know that; The expression for the angle between the two vectors is: θ=cos-1u→·v→u→v→   The giv...

Q: Given the funcfion y = -x3 (x ta>(x-1)

A: Question- First Derivative Analysis 1. track intervals of increasing & decreasing,so include a f...

Q: Ssin( /3x)cos(-2r)dx

A:

Q: Find the derivative of the following function. f(w) = 8w° + 5w* + 4w %3D f(w) =D

A: We can find the derivative as below

Q: Sketch the region R of integration and switch the order of integration. f(x, y) dx dy 8 6 6 y 4- y 4...

A: This is a problem of integration. Based on the x and y limit we will sketch the region. 

Q: C. 2 dx dy

A: Given 

Q: 1. Find the volume.fthe Solid..endlosed by. the pavabaloids 2 and.. z=18-X. 2 Za x-y Ans..81...

A: Given

Q: Find an equation of the plane with the given characteristics. The plane passes through the points (5...

A: Given : The plane passes through the points (5, 4, 1) and (5, 1, -6) and is perpendicular to the pla...

Q: 5. Find the area of the region contained inside the unit circle {x² +y? = 1} and outside the rose de...

A:

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per second...

A:

Q: 5. For each function i) list each real zero and its multiplicity ii) Determine whether the graph cro...

A:

Q: (a) Oppositely directed to v = (9, – 18) and half the length of v. w =|(?,?) (b) Length 5 and same d...

A: