Find the distance between the given points. (-6, -4,5), (3, 2, 1) 11.5

Q: Suppose that a pencil holder is in the shape of a right circular cylinder, which is open at one of…

A: Data from the question÷

Q: (11) Evaluate the integral x-2y dA 3x - Y where D is the region bounded by the lines x - 2y = 0, x -…

A:

Q: Find an equation of the plane. the plane through the point (2, 5, 3) and with normal vector 6i + 9j…

A:

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

A:

Q: Consider the vector field F = (2xy³ − y sin x)i + (3x²y² + cos x)j (a) Determine whether F is…

A: F = (2xy3 - y sin x)i + (3x2y2 + cos x)j

Q: Suppose that R is the finite region bounded by y = x, y=x+4, x=0, and x = 2. Find the exact value of…

A:

Q: You are given two sets such that a set is not a subset of other. If you have to prove this,how do…

A:

Q: Differentiate the implicit equation with respect to x. x³ + y³ ln(x) + e²y = 5

A:

Q: Find an equation for the graph sketched below f(x). = 6- 5 4 -6 o

A:

Q: Sketch of f(x)=-4 H H H H H H H H

A:

Q: •n [02/12 XP 3. an = P> 1

A:

Q: The equation of the tangent line to the graph of f(x) at the

A:

Q: Find a b. . a = 8i + j, b = i-4j+ k

A:

Q: (7) If x < 0 then 1/x < 0. (8) If 0<x<y then 0 <1/y < 1/x

A:

Q: Suppose the volume of water, Vm³, in a container satisfies the equation V = x³e-x², where xm is the…

A:

Q: The Laplace transform of f(t) = el-t is equal to L{f(t)} = Select one: O True O False = e 8- 1

A:

Q: Consider the following definite integral. r3π/2 2 (t³ + sin(t)) dt Jπ/2 (a) Evaluate it "by hand,"…

A: ∫xndx=xn+1n+1+c ∫sinxdx= - cos x+c

Q: Find the scalar and vector projections of b onto a. a = (-1, 4, 8), b = (18, 2, 1) scalar projection…

A:

Q: 4 The volume of a cantaloupe is given by V= ²³. . The radius is growing at the rate of 0.7 cm/week,…

A:

Q: Solve the differential equation dy da 3x² + 4x + 2 2(y-1) y(0) = -1.

A: We have to solve the differential equation.

Q: differentiation

A:

Q: x² 1- x6 dx

A: Explanation of the answer is as follows

Q: 6) Consider the vector function r(t) = (sin(nt), ln(-t+3), ²) a. Evaluate lim r(t) t-3- b. Find r'…

A:

Q: Consider the indefinite integral x" (x5+7)5 This can be transformed into a basic integral by letting…

A: We are required to evaluate: ∫x4(x5+7)5dx

Q: Given the function graphed below, evaluate the definite integrals. N 3 A 3 2 1 -1 -2 -3 A N 3 6

A: Definite Integration is area under the curve in that interval

Q: Q10 Compute ²₁(2x - 1)dx

A:

Q: Find the area of the surface generated by revolving the curve about the given axis. x = 5 cos(8), y…

A:

Q: find the parametric equations for a sphere with a radius of 4 and a center at (3,-2,5)

A: According to guidelines we have to solve only first one question.

Q: In Exercises 23-30, find an equation of the tangent line to the graph of f at the indicated point.…

A:

Q: (5) If x > 0 then 1/x > 0.

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: An √n²-1-√√n²+n

A: an=1n2-1-n2+n

Q: 1. Perform the double integration: and r = y³ in the first quadrant. 1 SS₁ (²- (x - y) dA, where D…

A: given double integration ∫∫D(x-y) dA where d is the region in the x-y plane bounded by y=x3 and x=y3…

Q: 4. Using the properties of the exponential function show that lim log x² x-0 =

A: Given that            limx→0log x2=-∞   Applying log rule:        logex=lnx           =limx→0+lnx2…

Q: 17-22 Explain why the function is discontinuous at the given number a. Sketch the graph of the…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: A ball is thrown upward from a height of 5.2 m at an initial speed of 39 m/sec. Acceleration…

A:

Q: 1. Let F(t) = (e¹−¹ – ť², 3t² + 1, 4-5 lnt), G(1) = (-6, 1,0), and f(t) = cost. Evaluate: (a) (F-G)…

A:

Q: Find the largest value of that satisfies: loga (2) -log(x + 1) = 3 x -

A:

Q: Solve the equation for x. Give an exact solution if possible otherwise give an approximation to…

A:

Q: Consider the iterated triple integral So So Vā dzdyde. Rewrite this integral as an equivalent…

A:

Q: Find domain of y= log(4+4x)

A: Given  y= log(4+4x)   We need to find the domain.

Q: Find an equation y = f(x) for the parametric curve c(0) = (cos(8), 2 cos(0) + 5 sin² (0)) and…

A: We are required to: Find an equation y=f(x) for the parametric curvec(θ)=[cos(θ),2cos(θ)+5sin2(θ)]…

Q: Physicians often treat thyroid cancer with a radioactive form of iodine called iodine-131 (1311).…

A: For a patient treated with 125 mCi (millicuries) of I131, the radioactive level  R (in mCi) after t…

Q: Compute the surface area of the surface generated by revolving the astroid with the parametrization…

A:

Q: Determine whether the series's converges or diverges

A: we have given series ∑n=1∞ n+1nn

Q: 4) Let two vector functions be defined by r₁(t) = (t², t, 3t³) t² r₂(t) = (t - 1,7,5-t) a. Find the…

A: Given that the vector functions are  r1t=t2,t,3t3 and r2t=t-1,t24,5-t. a)It is required to find the…

Q: Carry out the following steps for the given curve. dy a. Use implicit differentiation to find dx b.…

A: we need to find the implicit derivative dydx of cruve  x2+y2=17

Q: The population in millions of arctic flounder (a type of fish) in the Atlantic Ocean is modele 8t+96…

A:

Q: Find the area under y = 4sin(x) + 4cos(x) and above the x-axis from x = 0 to x = π/2. Leave your…

A:

Q: Find the area of the parallelogram with vertices P(2, 3, 2), Q(5, 5, 3), R(10, 10, 11), and S(7, 8,…

A: Given: We are given a parallelogram with vertices P(2,3,2),Q(5,5,3),R(10,10,11) and S(7,8,10). We…

Q: let S = {1-¹ | neN}. Show that sup S = 1. Hint: Use also the AP.

A: