On the binormal to a given curve, a point Q is taken at a constant distance c from the curve. Prove that curvature k, of the locus of Q is given by k² (1+²2²)² = ²² (1+² 7³²) + (k − c T ¹ + c²k 7² ) ²³

Q: What is the projection of v=e₁ +2e2 - 3e3 on H : x₁ + 2x2 + 4x4 = 0? 21

A: There are 3 question and student didnt mention any particular question to solve then i am solving…

Q: (5 Converse Does there exist a statement that is false although its converse is true ? Justify your…

A: Given that, does there exist a statement that is false although its converse is true. We have to…

Q: C. Set up the iterated double integral equivalent to ſſ ƒ(x,y) dA over the given region R: ii)…

A: Given, The region R is enclosed by y=x ,2x+y=10 and 7x+y=0.

Q: 2) Find the Taylor Series centered at x=7 then the first 5 give nonzero terms of the Taylor series…

A:

Q: In the United States, 40% of the population has brown eyes. If 15 people are randomly chosen, what…

A:

Q: II. ROOT FINDING METHOD - Find the root of e-²x - e-x-2.

A: The given problem is to find the root of the given equation by using the Newton raphson method for 5…

Q: (3.) Let S be the set of all natural numbers of the form prime. S = { P2 Is 1-2, where p and a { P2=…

A:

Q: The relation {(1, 2), (1, 3), (3, 1), (1, 1), (3, 3), (3, 2), (1,4), (4, 2), (3,4)} is Select one:…

A:

Q: Question 03/05 The set of vectors that form a basis are D Linearly Dependent Linearly Independent…

A:

Q: V. Numerical Differentiation - Find the slope of the function f(x) = (sin x)/x at x = TL.

A: The given problem is to find the slope of the given function f(x)=sin(x)/x at x=π.

Q: 2. Coefficients Linear in two variables. Find a general solution of the differential equation (2x -…

A:

Q: Consider the vectors U₁ of R3. The vector v = {U₁, U₂} if x is: 10 O 3 02 O None of these X 8 Select…

A:

Q: 5. By considering Z[¹+√5]*, or otherwise, show that if n and m are expressible as 2 a² + ab-b² and…

A:

Q: For this problem, consider the region between y = 5x and y = 0, from x = 0 to x = 2. Match each…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 14. Determine which of the following series converge absolutely, converge conditionally or which…

A:

Q: Suppose T: R³-R² is a linear transformation. Three vectors U₁, ₂ and 3 are given below together with…

A:

Q: Let I = 10x x+1 dx, then find the value of 91.

A:

Q: III. SIMULTANEOUS LINEAR EQUATION - Solve the value of X₁, X2, and X3 of the simultaneous linear…

A:

Q: If r = 198 √2, then number of circles D, which comple

A:

Q: only do the Freed Body Diagram label completely NO NEED FOR SOLUTION

A: The box is expanding along its length at a rate of 3 meter/ minute

Q: Calculate the surface integral JFdS, where F(x, y, z) = x³i+y³j+z³k and S is the boundary of the…

A:

Q: 10. Let f(x, y, z) be the density function of the V where V is the solid enclosed by z = 4-x² - 4y²…

A: Given That : fx, y,z is a density function and V is the solid encloses by z=4-x2-4y2 in the first…

Q: π [25in 3 2Sin (3t+ π 7) dt

A:

Q: Let E be the ellipse mid-point of the line segment joining P and Q, and M (P, Q') be the mid-point…

A: Given That : E is the ellipse x216+y29=1 and there are three distinct points P , Q and Q' on E , and…

Q: The set of vectors that form a basis are Linearly Dependent Linearly Independent Inconsistent…

A: DEFINATION OF A BASIS-: A SET OF VECTORS v1,v2,v3,..........vn IN A VECTOR SPACE V IS SAID TO BE…

Q: For each positive integer n > 0, find the greatest positive number integer mn such that 1 tan ¹(n+1)…

A:

Q: Question 18 Tiki torches are found to last an average of 360 minutes and be normally distributed.…

A:

Q: f(x)= 300x 1+ et

A: The given function is f(x)=300x1+ex. The given interval is 2, 4 and the number of segment is 8. The…

Q: Inverse Laplace transfor a. etsin4t b. 1/2etsin4t

A: This is a problem of Laplace transform.

Q: (a) Solve the utility maximization problem max U(x, y) = √√x + y subject to x + 4y= 100 using the…

A: to find the maximum value of the utility function U=x+y with x+4y=100

Q: Σo (+) = 1 + x + ² + +... a) Use that fact to find the Maclaurin series of g(x) = e-7. b) Then use…

A: According to Bartleby guidelines I did the first three subparts

Q: 2- Find the centroid of the region in the first quarter bounded above by the line y=2x and below by…

A: The given problem is to find the centroid of the region in the first quarter bounded above by the…

Q: What is the minimum number of colors required to color each vertex the graph below so that no two…

A:

Q: II. Let S be the portion of the cylinder x² - 6x + z = 4, oriented by upward-slanting normal…

A:

Q: Please show work. This is my calculus 3 hw.

A:

Q: Define characters of A5 breifly . Answer should be typeed

A:

Q: If the temperature at which a certain compound melts is a random variable with mean value 115°C and…

A: We have to solve given Questions.

Q: -4 3 3 three vectors in R³ 3 Let U₁ = V2 -5 6 4 V3 - 2 2 be

A: Given vectors v1=-433, v2=-564, v3=-122 A set of vectors are linearly independent if and only if…

Q: Do you identify this equation? What would you need to resolve it? ²u du Əx² at k =

A: This is the heat equation.

Q: f G: R3  --> R3 is a function, define the Jacobian associated to G viewed as a change of variables.…

A: To Find: Jacobian of the transformation that sends polar coordinates (ρ, θ, Φ) to their respective…

Q: Find the value of a retirement savings account paying an APR of 5.4% after 40 years (contributions…

A:

Q: Let Ai = [i − 1, i] for all integers i = 1,2,3,4. Find the following. a. A1_________________…

A: Given  Ai = [i-1 , i] ,  We need to find the values A1 , A2 , A3 and A4 , then the union and…

Q: Part c a -8 b C Let W be the set of vectors of the form A = where a, b, c are real numbers such that…

A:

Q: 2. Convert each polar equation to rectangular form and include a sketch with enough labeling to…

A:

Q: Use mathematical induction to prove n(n+1) 2 1+2+ +n=

A:

Q: 6. Write an equation, h(t), modeling the height of your ball as a function of time. h()=4.9t² +9,42t…

A: The height of the ball as a function of t is given by  ht=-4.9t2+9.42t+1.95

Q: Suppose A = - = - { B₁¹=1-4 10 2ģco 62 a) Compute (AB)-¹. -2°207 81 b) Compute det B. BA₂ AJ 1 C)…

A:

Q: 10 10 1 s+12 0

A:

Q: 14 Consider the compound inequality 2(x-3) +5<9 AND 3(1-x) - 2 ≤7. a. What is the solution set of…

A:

Q: Which of the following functions would be most useful to prove that | [1, 5] | = | [6, 10]|? Select…

A: