Ex 2. prove: - a ≤a for every real number a .

Q: Find the equation of the ellipsoid passing through the points (+8, 0, 0), (0₁ +3,0) and (0,0₁ +4)

A: We need to find the equation of ellipsoid passing through the points ±8, 0, 0, 0, ±3, 0, 0, 0, ±4.…

Q: Find and classify the critical points of z = (x² – 3x) (y² – 5y). Local maximums: Local minimums:…

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Q: I need help writing a critique of this proof

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Q: Find the slope-intercept form of the line with the following parametric equations: a = -2 + 3t, y =…

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Q: Let {u₁, U₂, U3, U4} be the orthogonal basis for R¹ given below. Write x as a sum of two vectors v₁…

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Q: Given F(r, s, t) = r (4t² - 2s¹), compute: Frst =

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Q: pnt) Use a graph below of f(x) = In(8x² + 1) to estimate the x-values of any critical points and…

A: Given function is f(x)=ln8x2+1

Q: If f(x)=x^2 −1,and h(x)=1−4x, find the following new functions,as well as any values indicated. A)…

A: Given function  f(x) = x2 - 1  and h(x) 1 - 4x Then A) (f + h)(x) = ? B) (f + h)(0) = ?

Q: For each of the following complex functions, (i) determine a power series for the function f(z)…

A: For each of the following complex functions, (i) determine a power series for the function f(z)…

Q: A local retailer has determined that the number x of PortaBoy game systems sold in a week is related…

A: Solution :  A local retailer has determined that the number x of PortaBoy game systems sold in a…

Q: Let x 2 be any real number. We have (t) dt [² 0(x) = n(x) log x T(x) = = 0(x) - log x t px 0(t) + S…

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Q: et T: R³ R³ be the linear transformation that projects u onto v = ( =(2,-1,1). Find T(x, y, z) )…

A: Linear transformation matrix and rank nullity of T.

Q: a) 1) The statement (p^q) vr⇒-pvr is not a tautology. A counter-example is p: T; q: F; r: T. p: T;…

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Q: Find the particular solution of the differential equation x²y" + 11xy' +24y = 2x-4 (x > 0)

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Q: {(4,3), (5,4),(6,6)} Is this a function? Yes No The domain is { (Use a comma to separate answers as…

A: I have given the answer in the next step. Hope you understand that

Q: Three large tanks contain brine, as shown in the figure below. pure water 4 gal/min dx1 dt dx2 dt…

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Q: Show that the center of a group of order 60 cannot have order 4.

A: We have to show that the center of a group of order 60 cannot have order 4.

Q: Explain the mathematical justifications for bisection method.

A: The equation in the form f(x)=0 is called a transcendental equation. The value of x which satisfies…

Q: 1. In this exercise, we will explore how the limit laws will not apply if the point at which the two…

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Q: Suzette ran and biked for a total of 34 mi in 3.5 h. Her average running speed was 6 mph and her…

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Q: (3) It is known that an investment of P 5,000 will increase to P 40,000 at the end of 30 years. Find…

A: Time value of money states that a dollar today is worth more than anytime in the future. Future…

Q: Give Arb three examples of matice spaces they complete?

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Q: Consider solving Ax = b. we have two approximate solutions computed solution (x).. and error vector…

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Q: Calculate the area of the shaded region in the given figure Parabola curve Focus point P- 2p 8p 0.5p

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Q: The sum of the present value of 1 paid at the end of n periods and 1 paid at the end of 2n periods…

A: The sum of the present value of 1 paid the end of n periods and 1 paid at the end of 2n periods is…

Q: Problem 1. Solve the given system of differential equations: √x"+x=y=t x' + x - y = t

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Q: What is the first (rightmost) digit in the base 7 expansion of the base 10 number74?

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Q: B. Using the definition of limit (so, without using Arithmetic of Limits), show that i. limn→∞ (4 +…

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Q: y^(2)y' + 2xy^(3) = 6x....find general solutions (implicit maybe) of the equation....dont use…

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Q: The following is a table showing the results of a poll taken on campus.  Will You Vote in the…

A: If the student is randomly selected, then the sample space contains (19+27+20+18+24+30) = 128…

Q: determine which of the following formulae are true (in your answer include an expres- sion of the…

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Q: - - Find all the first and second order partial derivatives of f(x, y) = 10 sin(2x + y) − 8 cos(x −…

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Q: Solve the recurrence relation subject to the initial conditions. F(1) = 8, F(2) = 18, and F(n) =…

A: Given, recurrence relation                  F(n) = 6F(n − 1) − 5F(n − 2) for n ≥ 3 with initial…

Q: Construct a truth tab 10) (pg

A: We construct truth table for given statement. We know that, ~T is F ~F is T.

Q: Find the general solution of the given differential equation. dy + y = e6x dx y(x) = Give the…

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Q: Question 31 Refer to the given right triangle. Given a = 20.5° and b= 14.7 mi, find a. Round your…

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Q: Solve the given initial-value problem. dx dt dy dt 16x - Y x(1) = 0, y(1) = 1 x(t) = y(t) = = -9x -…

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Q: 32 Show that d(KA) is uniformly. Continuons it A is any subsxt a motric space X. of b) Show that d…

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Q: From a tower 57 ft. high, two objects in a straight line from it are sighted at angles of depression…

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Q: Exercise. Solve the system by Gauss (In. many solution) x + 2y = 2z = 4 - 2x + 5y = 3 x + y = 6z = 9

A: Since you have asked multiple questions here, we will solve the first one for you. To get the…

Q: why do you have to minus (x^2sinx)/(x-tamx) in the beginning

A: We don’t need to do that.

Q: Given the following vectors: A-15.0 m at 40.0° counterclockwise from the +y-axis, B=20.0 mat 15.0°…

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Q: Express p→g in NAND (1) and NOR (↓) form

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Q: Warm up Wednesday (10/19) 1) Dilara is designing a kite ABCD on a set of coordinate axes in which…

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Q: (15) Let a, b = Z. Prove that if a is divisible by 4 and b is divisible by 4, then: (a) ab is…

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Q: Solve for the volume generated by rotating the area in one revolution abt the x - axis. 3cm 6cm 4cm…

A: Using pappus theorem: when a region rotate about a line not passing through the region (ma touch)…

Q: Use the funamental Reudction Theorem to find the chromatic polynomial for the following graph. Do…

A: By Using  the funamental Reudction Theorem

Q: Exercise III.2. Graph the following sets S in R² and determine which are conver: (i) B (ii) B:= • {…

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Q: Question Use the trapezoidal rule to calculate the absolute error of f(x² + 7) dx using 4…

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Q: Solve A substitution [Hint: Express the functions first in terms of sine and cosine.] B C dy D = tan…

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