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Calculus Questions
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer...
Find the reference number for each value of t. (a) t = 4π/3 (b) t = 5π/3...
Determine the point on the plane 5? + 3? + 6? = 12 that is closest...
Three point of measurement coordinates are collected on a circle (X,Y,Z): P1(14,21,8), P2(45,22,8) and P3(65,19,8) (all...
a.) Find the length of the curve y=ln(x),1 ≤ x ≤ sqrt(3) b.) Using disks or...
Solve the separable equation 3xy^2 dy/dx = x^2 + 1 given y(0) =5 I am getting...
Evaluate, in spherical coordinates, the triple integral of f(ρ,θ,ϕ)=cosϕ, over the region 0≤θ≤2π, π/6≤ϕ≤π/2, 3≤ρ≤8. integral...
The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been...
a) Find the general solution of the differential equation y''-2y'+y=0 b) Use the method of variation...
State whether the given series converges or diverges, and why. #21 sum 1/n^5, n=1 to infinity...
Find derivative for the following : 1- m(t) =-3t (6t^4 -1)^5 m'(t) = 2- y= (3x+2)^5 (4x+1)^-3...
please explain how learning linear programming will be used in a business major in 100-150 words
Find the maximum rate of change of f at the given point and the direction in...
Set up, but do not evaluate or simplify, the definite integral(s) which could be used to...
Find the area bounded by ? = 2? − ?2 and ? = −x
If z=(x+4y)ex+y,x=ln(u),y=v,z=(x+4y)ex+y,x=ln(u),y=v, find ∂z∂u∂z∂u and ∂z∂v∂z∂v. The variables are restricted to domains on which the functions...
Your client has inherited a failing soda pop business from her recently deceased uncle. Your client...
(ECP)A sporting goods store sells 100 pool tables per year. It costs $20 to store one...
Let g (x) = 2^-x −x − x^3, defined on [0,1] (a) Use the Intermediate Value...
Find the critical point of the function f(x,y)=-6-7x+x^2+8y-7y^2 This critical point is a ?
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550...
Find the area of the surface obtained by rotating the curve ?=5?^2y from ?=0 to ?=8...
The side x of a rectangle is increasing at a rate of 2 cm/s while its...
Show that the quadrilateral, with vertices at A(2, 0, 5), B(0, -3, 1), C(4, 1, -2)...
The half-life of radioactive strontium-90 is approximately 30 years. In 1961, radioactive strontium-90 was released into...
Find the volume of the solid region which lies inside the sphere x^2 + y^2 +...
Solve the differential equation T’(t) = k(T(t) − TEnv) and find the particular solution when the...
Let ln 2 = a ln 3 = b ln 5 = c. Express toe following...
Verify that all members of the family y = (2)1/2 (c - x2)-1/2 are solutions of...
A>Set up an integral that calculates the volume of the solid described below using the washer...
Evaluate the integral from -1 to 2 for (6x + 10 |x| ) dx
Sketch the region bounded by the graphs of the given equations. y = 2^x, y =...
Determine the absolute maximum and minimum of the function h (x) = 3x^3−9x^2 + 5x +...
Give another example of a function that increases concave downward on the interval (0, ∞). Justify...
Consider the following y=x^2 that corresponds to the domain interval [0, 4] a. sketch and set...
Estimate the area under the graph of f(x)=1/(x+2) over the interval [0,3]using eight approximating rectangles and...
Sketch the region bounded by the given curves. y = 3 sin x, y = ex,...
(1 point) Evaluate the line integral ∫F⋅d r∫CF⋅d r where F=〈-5sinx,-2cosy,10xz〉 and C is the path...
A :Set up an integral that calculates the volume of the solid described below using the...
Suppose a small pond during the winter freezes into ice on the surface as a circle....
question #1: Consider the following function. f(x) = 16 − x2, x ≤ 0 −7x, x...
1. Find the area of the region bounded by the graph of the function f(x) =...
(1 point) Evaluate the line integral ∫CF⋅dr∫CF⋅dr, where F(x,y,z)=3xi+4yj-zk and C is given by the vector...
Compute the surface area of z = 4 – x^2 -2y^2 above the xy-plane
Find the area of the surface. The part of the paraboloid z=1-x^2-y^2 that lies above the...
Find the radius and interval of convergence ∑((-1)n+1(x-5)n)/((n)(5n )) . n goes through [1,∞). Write step...
The y-intercept of the tangent line to the cycloid x=r (θ-sinθ) y=r(1-cosθ) with r = 2.01...
Approximate the area under the curve, f(x) graphed below from x=3 to x=8 using a Left...
6) please show steps and explanation. a)Suppose r(t) = < cos(3t), sin(3t),4t >. Find the equation...
incorrect,8.6.23 A rectangular swimming pool is 40 ft wide by 75 ft long. The table gives...
Find the area of the region by integrating with respect to x and with respect to...
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 350...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Find an equation of the curve that passes through the point and has the given slope....
If the cost in dollars to produce q units of a product is what quantity will...
Show that the function ? = (? + ?) ?(??), where ? is a function whose...
Find the maximum and the minimum values of f(x,y,z)=7x-9y+6z on the sphere x2+y2+z2=166. The maximum value...
Give the formula for a function with domain (5, ∞) that has the following properties: •...
Find the area of the parallelogram PQRS with vertices P(1, 1, 0), Q(7, 1, 0), R(9,...
(1 point) Assume that ? and ? are differentiable functions of ?. Suppose 4?^2=?^3−?^7. Find ??/??...
show that L: x=1-2t .y=t .z=-t and the plane P: 6x-3y+3z=1 are parpeudicular then find the...
NO SOLUTION IS NEEDED. Please just give the answer. thanks! The distance from the point (3,...
find the derivative of y = (2e^x - 3x) (SQRT x + 10)
A water tank has the shape of an inverted cone with a height of 6 meters...
Determine the order, dependent and independent variables of the given differential equation and state whether the...
(a) Find the Riemann sum for f(x) = 3 sin(x), 0 ≤ x ≤ 3π/2, with...
Find a vector equation and parametric equations for the line. (Use the parameter t.) The line...
The tangent line to the cycloid x=r (θ -sinθ) y=r (1-cosθ) with r=1.21at θ =π/4 has...
The demand function for a certain make of replacement cartridges for a water purifier is given...
The circumference of a sphere was measured to be 90cm with a possible error of 0.5...
show that L: x=-1+t , y=3+2t ,z=-t and the plane P : 2x-xy-2z=-3 are parallel then...
Graph y = x3 and y = x on [0, 2]. 1) graph of the area between...
find the volume of the solid generated x^2+y^2=4 rotated about x=4
Find the Taylor series for f(x) and it's radius of convergence when f(x) = e^3x and...
Find the largest product the positive numbers x, y, and z can have if x+y2+z=9. The...
If ∑∞ n=0 cn 4^n is convergent, does it follow that the following series are convergent?...
y=(-sinx)*e^(cosx), y',y'',y'''=? Please let me know the detailed calculation process.
2) The curves y = 3/x and y = 3x2 are constrained by the x =...
an = πn / 3n determine if convergent or divergent. if convergent state its limit
Find the volume under the surface z = f(x,y) and above the rectangle with the given...
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