Find the curvature of the curve r(t) = (5 + 4t, 4 - 4t, 1 - 3t) at the point t = -6. Check Answer

Q: Z= (a) What is the equation of the plane passing through the points (2, 0, 0), (0, 2, 0), and (0, 0,…

A:

Q: Differentiate the following function. You do not need to simplify the derivative. dy dx || y = 2e²²

A:

Q: I ― √co COS X lim x 0 1 cos x

A:

Q: 8. Evaluate F. dr using Stoke's theorem when F = (2xy — x²)ī — x² − y² )ī and C is the boundary of…

A:

Q: 3 Suppose ff(x) dx = 4 and f g (x) dx = 3. f(x and 19 (a) da = 3 1 3 Evaluate f (3 f (x) – 4 g(x))…

A:

Q: An 8 by 8 checkerboard has alternating black and white squares. How many distinct squares, with…

A: Given: an square box in which 64 square box (black and white)

Q: On which intervals is the function f(x)=-2x^(3) +3x^(2) +36x+4 increasing? Do not draw a graph.

A: The objective of the question is determine the interval in which the given function is increasing.

Q: 1. The Louvre museum in Paris features an inverted square pyramid with a height of 10 m. The side of…

A:

Q: 16

A:

Q: Q9. Find the value of the right side of Gauss divergence theorem for F = x²ī+ zī+ yz k over the cube…

A:

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

A:

Q: 1.) e ax sin (mx) dx -1) (0+3)(

A:

Q: B A 876, 5432 -10-9-8-7-6 -54 -3 -2 -1 1234 -1 Graph of f D 1 2 3 4 5 6 7 8 9 10 C x.

A: We will find the required.

Q: sin(x - a) lim x→a 2(x²-a²)

A:

Q: A lamp post 3m high is 6m from a wall. A man 2m tall is walking directly from  the post toward the…

A: Given:- The given lamp post 3m high is 6m from a wall The given man's height is 2m The man is…

Q: 5 Suppose f(x) dx = 4 and g(x) dx = 3. 96 -3 -3 5 Evaluate (3 f(x) + 2 g(x)) dr. -3 Remember to…

A:

Q: Find two positive numbers with product 625 and whose sum is a minimum. Enter your answers in…

A:

Q: Find the integrating factor μ(x) of y' + 4y - tan(x) = 0 such that μ(0) = 1. μ(x) =

A: See the details solution in below

Q: Evaluate J 2xz dV where E = E Round your answer to four decimal places. {(x, y, z) | 2 ≤ x ≤ 5, x ≤…

A:

Q: Using calculus, find the absolute maximum and absolute minimum of the function f(x) = 7x² − 14x + 4…

A:

Q: A spherical iron ball 8cm in diameter is coated with a layer of ice of uniform  thickness. If the…

A: Given data:- The diameter of the iron ball is, 8 cm The thickness of the coating is, 2 cm The rate…

Q: tiderivative. Indicate which formula from the that you may have to do a substitution, or a tables!…

A: Ass per the guideline I am answering only one question at a time. ∫tan3x2dx

Q: Let à = (1, -2, 0) and 6 = (1, 3,2). b Find the angle between the vector (in radians) Check Answer

A:

Q: Find the linearization of the function f (x) = x6 at x = 1. L (x) = Using this linearlization, f…

A:

Q: Obtain the family solutions. (5v-u) du + (3v-7u) dv = 0

A: We asked to find the family of the curves

Q: Consider the equations of two planes. x + y + z = 0, 8x - y + z-5=0 (a) Determine whether the planes…

A: This question can be solved using the concept of angle between two planes.

Q: Q1. Find the equation of sphere with center (1, 2,-1) passing through the point (-1, 2, 1).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A:

Q: Evaluate the integral by interpreting it in terms of areas. 4 to −9(1 − x) dx

A:

Q: Let r(t) = cost i + e^t j + t^2 k be given. A) Find the unit tangent vector to the curve at any…

A: Given: rt= cost i + et j + t2 k

Q: Find the center and radius of the sphere with equation (z + 3)² + (y + 1)² + (z+4)² = 1 Center:…

A:

Q: Find the cross product u x 7 where u = 51 -3j+k and = (-1, -3,2). uxv=

A: To find the cross product u→×v→ where u→=5i-3j+k and v→=-1, -3, 2.

Q: . A rectangle has a perimeter of 6x + 9x² - 10x +5 and a length of x. Find the width of the…

A: Given: Perimeter of the rectangle is 6x3+9x2-10x+5 and length is x.we need to find the width when…

Q: Determine the following: iffere (a) 10 -5x² - 42x+194 (x+3)(x-8)(x-2) 9 -dx VIM

A:

Q: Find -(62). Type In(x) for the natural logarithm function. da

A: Topic = Derivative

Q: k Determine whether the statement below is true or false. Justify the answer. A linear…

A:

Q: Let v = 17 + 17 and w = 17 + 8j. Find a number c so that w- cv is perpendicular to v. C =

A:

Q: m M|L II k=0 CO M« Σ N சிய

A:

Q: Compute the given integral. 11z - 2 11x² - 4x + 5 -dr +C

A:

Q: 2022" + n 2022 (d) lim sin 2022! + n!

A: Apply the limits to solve

Q: (a) Find the critical numbers of the function f(x) = x(x - 2)5. X= (smallest value) X= X= (largest…

A:

Q: Find fxy(x,y) if f(x,y) = (x² + y²) 7. fxy(x,y) = ...

A:

Q: Evaluate the definite integral (3625 - 24) dz using Part 1 of the Fundamental Theorem of Calculus.…

A:

Q: Consider the vector whose initial point is P(-6, 6) and terminal point is Q(5, 3). Find the position…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Solve the differential equation dy dx y²+7xy+16x² x² O a. x - y = O b. x + y 5 (y + 4x) In y O C. X…

A:

Q: Find the average value fave of f(x) = x³ between -1 and 1, then find a number c in [-1,1] where f(c)…

A:

Q: Problem Set #1. (w/Answer Key) 1. x²y' = x²+1 3y² +1 1. y(y² + 1) = (x² + Cx - 1) X

A:

Q: Complete each statement below. The zero vector of Pg The set IS in the set because zero IS a…

A: Concept: A function that can be expressed as a polynomial is referred to as a polynomial function. A…

Q: S dx 3 cos x-2 sinx+3

A:

Q: Find the curvature of the curve r(t) = (-1-4t, 2-t, 4 - 4t) at the point t = - 1. Check Answer

A: We know that curvature of a curve is given as: k=||r'(t)×r''(t)||||r'(t)||3