An adult alligator can be 15 feet long and weigh 475 pounds. Suppose that some excavated dinosaur bones indicate that the dinosaur was 30 feet long and was shaped roughly like an alligator. How much would you expect the dinosaur to have weighed?

Q: In a parking lot sequence, a toyota is placed after every five mitsubishi cars. If the parking…

A:

Q: (b) The characteristic polynomial of A is (A² + 4 +13)²(x - 5)². find all possible Jordan canonical…

A:

Q: 3. Determine whether the follow sequences converge or diverge. If it converges, find the limit. n²…

A:

Q: For this exercise, let 1 A-[223] = 5 6 4 2AT + C and C= Determine whether the expression is defined.…

A:

Q: a. Supply the missing values in the sequence. 3. 11, 18, 27, 38, 51, 66, 83, 102, 123, b. Given the…

A:

Q: a) Let T: R² R² be a linear transformation given by T(x, y)-(x+y,x-y). Find the matrix for T…

A: For (a), We are given that T: ℝ2→ℝ2 be a linear transformation given by T(x, y)=(x+y, x-y).  Now, we…

Q: Let C' be the circle centered at the origin with radius 3 oriented clockwise, and let F(x, y) = (−7x…

A:

Q: Find the average value of the distance from a point in a sphere of radius R to the center of the…

A:

Q: Find the radius of convergence, R, of the series. R = 6 ∞ n = 1 xn n467 Find the interval, I, of…

A:

Q: Evaluate [ f(x) dx = lim f(F₁) Ar. n→∞ k=1 (a² +5a) da using the infinite Riemann sum

A: 2

Q: e 1. Consider the surface defined by z = x² + eln(x - y). Let f(x,y) = x² + ³y ln(x−y). (a) Compute…

A:

Q: Find the center mass of the solid bounded by planes x+y+z= 1, x = 0, y = 0, and z = 0, assuming a…

A:

Q: Recall the Fibonacci sequence: f₁ = 1 f2 = 1 fn = fn-1 + fn-2, for n ≥ 3 Prove by strong induction…

A:

Q: Theorem 5.3. Let a be an odd integer. If a3 we have (29) a 2 = 1 (mod 2º), so there are no primitive…

A: Proof:                 We shall prove by induction on α. First we consider α=3. Let α be an odd…

Q: Use integration by parts to calculate the following integral:  ∫ t cos t dt

A:

Q: The following exercise presents a problem similar to an exercise from the previous section of this…

A: Given: A function f(x)=x2 and a point (4,-5). To Find: We need to find the point on the graph of…

Q: Let C be the curve parametrized by the vector-valued function 8 t√2 8 R(t) = )-(-1+30 (1), V²,…

A: The unit tangent vector is T→(t)=R→(t)|R→(t)| The unit Normal vector is N→(t)=T→(t)|T→(t)| The unit…

Q: Consider the matrix A = I – X(X'X)-¹X'. Prove that A. A = A. What restrictions need to be imposed on…

A: This is a question of Linear Transformation.

Q: 4 12 16 9 14 Let A = 2 5 11 13 We want to determine if the columns of matrix A and are linearly…

A: Given A=41216291451113

Q: A ball is propelled straight up with an initial 250 feet/sec in a vacuum with no air resista…

A: Introduction: Kinematics equations of motion describe the fundamentals of an object's motion, such…

Q: 3. Let L: R4 R₂ be the linear transformation defined by L ([u₁ U2 U3 U4] u₁]) = [u₁ + U3 u₂+ U₁] (a)…

A: According to guidelines we need to solve only three question.

Q: suppose San and Ση are series with positive terms and bn is known to be divergent. n (a) If an> bn…

A:

Q: A diver is standing on a platform 28 feet above a pool. Their jump to the pool can be represented by…

A:

Q: x F. dr, where F(x, y) = ( Y y+3 x 4, 4).0 C is the path along (x − 5)² + (y + 3)² = 4, traversed…

A:

Q: The solution of the system x - 4y +z = 9 A B C D y 3z = -1 - x = 11m +5, y =3m +1, z = m, None of…

A: Answer  The solution of the system  x-4y+z=9 y-3z=-1 When we solve we found that option D correct.

Q: an electrician needs to run a cable from the top of a 48​-foot tower to a transmitter box located 36…

A:

Q: The velocity vector, v(t) of a particle in motion is given by v(t)=t√r² +4i+e²j+z Find: (i) (ii)…

A:

Q: Use the inner product (f. g) = [ f(x)g(x) dx in the vector space Cº[0, 1] of continuous functions on…

A:

Q: Find the Fourier approximation f2 for if -1 < x < 1/1/201 2 otherwise. f(x) f₂(x) = 0 eBook = 1 X

A:

Q: What two-product output should a firm produce when its total profit function is π (x, y) =…

A: Given profit function πx,y=80x-2x2-xy-3y2+100y The maximum output capacity is x+y=12

Q: 3. Consider the problem of finding the point (s) on the plane 2x - 2y-z = 36 closest to the origin.…

A:

Q: Let C be the portion of the circle (x − 1)² + (y + 1)² = 25 from (-3,-4) to (6, -1) traced counter…

A:

Q: Explain why if an converges, then limn→∞ an = limn→∞ an+1

A: Limit: A number L is said to be a limit of the sequence an if for ε&gt;0 there exists a number N…

Q: Suppose the first and last columns of a 3 by 5 matrix are the same (not zero). Then __ is a free…

A: Given : A matrix of size 3×5 where first and last column are same. Then _?__ is a free variable.…

Q: 1. If L{f(t)} = F(s), then

A:

Q: 00 nce observations of the island began. Graph the function P in an appropriate viewin- Im…

A: The given equation is, P(t)=140t-0.4t4+1300, where t is time. To Find: (a) The time when population…

Q: Problem 3 Consider the relation R on Z defined by aRb if and only if 7a - 5b is even. (a) Prove R is…

A:

Q: Write the improper integral in terms of x that will determine the convergence or divergence of the…

A:

Q: If A is 4 by 4 and invertible, describe the nullspace of the 4 by 8 matrix B = [ A A].

A: Given that A is 4×4 and invertible matrix. To describe the null space of the 4×8 matrix B=AA. Null…

Q: Consider the equation E given by z² = x − 3. a. Sketch the graph of E as a cylinder in R³. b. Find…

A: The equation E is given by z2=x-3. (a) The given equation can be simplified as: z2=x-3z2+3=x…

Q: Use the given information to find the left and right-hand Riemann sums for the following function.…

A:

Q: Given f(x)=x+2 Find the inverse f¹(x). Use fractions in your answer. f¹(x)=

A:

Q: 2. Find the matrix A of T so that T ([]) = A[*].

A:

Q: 2x 5 Find the inverse ¹(x). Use fractions in your answer. Given f(x)= 2 f¹(x)=

A:

Q: What lump sum do parents need to deposit in an account earning 12%, compounded monthly, so that it…

A: Let, the needed deposit is $P. Then, at a rate of 12% per annum compounded monthly, the lump sum…

Q: Exercise 1 Let fe BV([0, 1]). Define Show that F E BV ([0, 1]). F(x) = { /* f(t)dt, x € (0,1), 0, x…

A:

Q: Theorem 4.17. Let m, n be two odd positive integers such that (m, n) = 1. Then we have () () = (-¹)…

A:

Q: List the first eight terms of the given sequences of partial sums to 4 decimal places. Does it…

A:

Q: 5. What is the Laplace transform of the given function f(t) = cos³ (t)? 3 S - . 4 s² +9 A) F(s) B)…

A:

Q: A spring with a 5-kg mass and a damping constant 15 can be held stretched 2 meters beyond its…

A: The objective is to find the position of the mass, after t seconds.