Find the trace of the matrix. The trace of an nxn matrix A is the sum of the main diagonal entries. That is, Tr(A) = a₁ + ª₂ 10 51 01-15 25 10 ,00 41

Q: . Test the equation for symmetry. (Select all that apply.) y = 7x4 + 2x2 a. The graph is symmetric…

A: Topic = Function As per guidelines , At a time only one question with three sub-parts can be…

Q: 35. [T] lim sin2x; ±0.1, +0.01, +0.001, +.0001 *40 X X -0.1 -0.01 -0.001 -0.0001 sin 2x a. b. d. X…

A: The answer is given below:

Q: Book Problem 27 If ƒ(2) = 25, ƒ' is continuous, and f f'(x) dx = 13, then the value of f(9) is

A: Given, f(2)=25, ∫29f'(x)dx=12

Q: Engineers in a design department are assessed by their leader. A 'O' is 'Terrible' and a '5' is…

A:

Q: Book Problem 24 If F(x) = f(t)dt, where f(t) = Stº F"(x) = Note: You gon I √7+u² U du, find: and F"…

A:

Q: A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: Use expansion by cofactors to find the determinant of the matrix.

A: Given: 645  036  00-4

Q: An integrand involving a radical form 49-16x2 suggests the substitution

A: Given: fx=49-16x2 Let, I=∫49-16x2dx   ....(1)   As we know the trigonometric identity; 1).…

Q: f(x+h)-f(x) h (must show work for full Find a simplified formula for the difference quotient for the…

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: 3. The number of sales per day S(t), measured in thousands, of a new toy is found to be 400 t+25…

A: Need to answer the following parts for the given sales function with respect to the number of days.

Q: (x²-1, x0 Determine the domain and range.

A:

Q: Evaluate the determinant, in which the entries are functions. Determinants of this type occur when…

A:

Q: 1. yp1: = 1 (+ dx (x+1)³(2x-1)³ find the derivative and save as yp1

A: Given yp1=ddx1(x+1)3(2x-1)3

Q: Question Find the area bounded by y + y³ = x and y = . Submit your answer in fractional form.…

A:

Q: 1. If x'y-xy² + x² + y² = 0 find y'. 2. If x² - xy + y² = 3 find y' and y".

A: I have solved step by step both the questions in detail usin simple diffrentiation....go through the…

Q: Determine the area, in square units, of the region bounded on the right by the line g(x) = -3x+27,…

A: Given thatgx=-3x+27fx =-x-52+16To find: Area bounded by the region with respect to y.Note: right to…

Q: If  g(x) = x2 + 10x  with  x ≥ −5,  find  g−1(56).

A:

Q: The following graph is the result of applying a sequence of transformations to the graph of one of…

A: The following graph is the result of applying a sequence of transformations to the graph of one of…

Q: what points on the given curve  x = 2t3, y = 5 + 50t − 10t2  does the tangent line have slope 1?…

A:

Q: Calculus 1. Consider the function f(x) = -5+7²-1. (a) Find the derivative f'(x) and hence the…

A:

Q: Let f(x) = 4x² - 2 to find the following value. f(t+1) f(t+1)=

A:

Q: x² (d) S √1-4x² (HINT: sin² t = dx. (1. (1 - cos 2t).)

A: We have to evaluate ∫x21-4x2 dx.

Q: Find the set on which the curve is concave upward. Answer (in interval notation): 2 y = ₁² R² + ² +…

A: See the details solution in below

Q: 2. Allen's small business has hourly costs (in dollars) of C(x) = x² +5, for x ≥ 0, where x is the…

A:

Q: If y=(sin3x-cos3x)², find dy dx

A: Given y=sin3x-cos3x2

Q: 2. (Equation of a Line) Write an equation of the line passing through the points (-1,3) and (8, 11).

A:

Q: Show that the curve  x = 3 cos t, y = 4 sin t cos t  has two tangents at (0, 0) and find their…

A:

Q: i need the answer quickly

A:

Q: Let Fib(n) be the nth term of the Fibonacci sequence with Fib(2)= 1, Fib(3) =1, Fib (4)=3 and so on,…

A:

Q: he probability distribution for the rando ariable, x, is x:2, 2.5,3.0,3.5,4.0,4.5 and (x):0.07,…

A: Topic:- application of probability

Q: The random variables A and B have variances 0.3 and 0.4 respectively. Let T= 5A-2B. The variance of…

A:

Q: 2. Solve the initial value problem x' = (t+1)/√t, x(1) = 4.

A: Given, x'=t+1t, x(1)=4

Q: Express the following functions in the form U+iv f(Z) = ln (1+z) ●

A: The given function is fz=ln1+z.We need to write it in the form u+iv.

Q: Determine using Cauchy Riemann equations the function below is analytic or not in z-plane? f(z) = x…

A: See the details solution in below

Q: Sketch the graph of the following function. List the coordinates of where extrema or points of…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the area of the parallelogram determined by ?=⟨5,0,0⟩v=⟨5,0,0⟩ and ?=⟨0,−5,9⟩.and w=⟨0,−5,9⟩.…

A:

Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

A: The diagram has been redrawn to indicate the required point.

Q: 1 - n(n+1) Show that the series Σ is convergent, and find its sum.

A:

Q: Find the inverse function of f. f(x): = -64, X>0

A: To find the inverse of a function f(x) : Rewrite f(x) as y Switch x and y  Solve for y

Q: The random variables A and B have variances Let T= 5A-2B. The 0.3 and 0.4 respectively. variance of…

A:

Q: Find the derivative. g(t) = 7/ square root t

A: We have to find the derivative of the function  gt=7t.

Q: Question Find the area, in square units, of the region bounded on the left by the line g(x) = 2x +…

A: We need to find Area.

Q: b) x d2y dy 12²-4 dx+6² = 2/1/2 dx²

A:

Q: Explain why lim F(x) in Figure A exists, but lim f(x) in Figure B does not. X-2 X→-2 Figure A AF(x)…

A:

Q: Explain whywe can't calculate everylimit lim f (x), when x approaches c just by evaluating f(x) at =…

A: Lets take a graph for refrence to understand why we can't calculate limit every where  f(x) =11-x

Q: Find each of the following for f(x) = 4x² - 7x+ 5. (A) f(x + h) (B) f(x+h)-f(x) (C) f(x+h)-f(x) h

A:

Q: Find the exact arc length of the curve over the stated interval. y=x²³ from x=1 to x=8

A: Please see the below picture for detailed solution.

Q: Using distance formula, prove the Apollonius' theorem that is in AABC, AB2+ AC² = 2 (AD² + BD2),…

A:

Q: Find f+g, f-g, fg, and f/g and their domains. f(x)=√16-x², g(x)=√x+3 Find (f + g)(x). Find the…

A: The given function is: f(x)=16-x2 , g(x)=x+3

Q: 0.602x(3×3!/4)=? (Gamma function)

A: This question can be solved using the formulas related to gamma function