Apply your understanding of vector operations to simplify the following algebraically: 3(u+v)−3(u−v)

Q: Find the extreme values of the function f(x) = x3 + 9x² + 5 on the interval x E [-1,3]

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Q: Find all inflection points of the function given, and then find the regions where the function is co...

A: f(x)=x36x+24=x36(x+4)f'(x)=16 (x+4)3x2-x3(x+4)2f'(x)=x3+6x23 (x+4)2f'(x)=0x3+6x2=0x2(x+6)=0x=0  or  ...

Q: Evaluate the integral. r 81 In(y) dy Vy 64

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Q: Find a value a > 0 so that the graph of the exponential function f(x) = a" contains the point (3, 1/...

A: The point lies on the curve, so the point satisfies the given function.  

Q: Find Vector, Parametric and Scalar equations for the line that passes through t -2,11) and (6,1).

A: Given: - The line that passes through the points -2,11and 6,1. To find: - The parametric equations t...

Q: Let f be a function defined by z = f(x,y) = 3xy² – 4y. Find the approximate change in z when x chang...

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Q: T(E) = N= T'(4) Evoluate (t) NG) for t=L,

A: First we find r'(t) then put t=1

Q: One of the tables below represents a supply curve; the other represents a demand curve. Table 1 p ($...

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Q: Suppose that y is inversely proportional to the square of x, and that y=64 when x=5. What is y when ...

A: Since  y is inversely proportional to the square of xy ∝1x2y =k 1x2where k is constant

Q: The regions A, B, C, D, andE in the figure below are bounded by the graph of the function f and the ...

A: Here, ∫-40f(x) dx=∫-4-2f(x) dx+∫-20f(x) dx

Q: Q1) find dy/dx 1) F(x) = sin’2x tan x² x – 3 ) 2) F(x) = sin( x +4

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Q: 1. In Figure 3, RK is the angle bisector of 2ORC. a. Name the postulate/theorem that justifies the c...

A: Note: According to our expert guidelines only first individual question is to be answered.kindly rep...

Q: You organize an 8-hour training for 6 hourly, local employees. The training is led by the manager wh...

A:  Given that an 8hour training for 6 hourly,local employees.The training was led by manager who's sal...

Q: 7t + 4 lim t→-∞ t2 + 1 – 7t

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Q: Given f(x,y) = 3x sin(3xy). Find fxy(3,2). Give you answer correct to %3D two decimal places. Answer...

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Q: ow directly that the given functions are linearly dependent on the real line. That is, find a nontri...

A: Topic:- algebra

Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of integrat...

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Q: Evaluate the integral of the following transcendental functions. dy 4) [- V9-49y² x² – 4 dx 5) [ x² ...

A: Topic:- application of integration Note :- as per our guideline if more than three subparts posted t...

Q: (r + 3}* , ly-1} _ 1 16 4 1.

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Q: Find an algebraic expression equal to sec(cot" (3x)). (You may assume that - < cot (3x) < .) Provide...

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Q: Using the diagram below, write AG using at least 2 other vectors. Use only AB, AD, and AE in your an...

A: From the given diagram we can see that- AD || BC and AE || CG    

Q: consider the following  5^-x/50=9 a) find the exact solution of the exponential equation in terms ...

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Q: Find the function M(r, y) such that M(x,0) = e- and the differential equation M(x, y)dx + (sin a cos...

A: Use the concept of exact form of the differential equation. 

Q: 2 5. f(x) = xỉ

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Q: Evaluate each expression. 7. log, 7° 8. log, 0.001 9. log, 4096

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Q: If 8 cos (3x) < g(x) < 8 + 2x for all x. Find lim g(x)

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Q: Consider the differentiable functionf with f(4) =; and f'(4) = If g(x) = f(x²), then gʻ(2) = А. 1 B....

A: Given : f(4) = 1/2 f'(4) = 1/3 g(x) = f(x2) Find g'(2) = ? g(x) = f(x2)          (given) Differentia...

Q: Evaluate the integral. HINT: [Use a shortcut.] 52x - 1 dx

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Q: d²y Find dx2 if –10x – 6y = -6.

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Q: [3] Write the expression below as an algebraic expression in x for x > 0. cos(2 tan x) = -1

A: This question is based on trigonometric ratios.

Q: Given f(x) = 2/x + 5 and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x)).

A: Let's find. 

Q: Let a = ci + jand b = 6i + 30j. Find c so that a and b are orthogonal. c = i

A: The vectors are given by a = ci+j b = 6i+30j Condition for orthogonal vectors:  a·b = 0 To evaluate:...

Q: Find the derivative of each function using the definition of derivatives. Use the formula of defini...

A: derivative

Q: A. Generate the first 50 Fibonacci numbers. Get the ratio (higher value divided by the lower value) ...

A: Definition of Fibonacci numbers:  Fibonacci numbers are from Fibonacci sequence. In this sequence ea...

Q: 1. Solve the length of the indicated sides using Figure 1. a. LA= b. AY= c. OT= 2x + 2 3x 5х — 10 L ...

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Q: An electronics company determines the demand function q = D(x) = V dollars per game. 200 - x° for a ...

A: We have to find elasticity and some value as per given question. 

Q: dy 1 Let u = tan-y sin y – cos y -

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Q: Consider the following sequence: 5" {an} 2n? an+l Use the ratio -to show that the given sequence {a,...

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Q: - y = x tan x

A: y=xtanxDifferentiate on both sidesThen  dy=dydxdxwhere dydx=ddx(xtanx)                   =xsec2x+tan...

Q: Evaluate the integral. 고-36 x² – 36 . 6cos- (승) +0 /x² – 36 - dx = Vx² – 36 – 6cos¬! + C x² – 36 (9)...

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Q: Find the Taylor polynomials of orders n = 0, 1,2, 3, and 4 about x = x0 and then find the nth Taylor...

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Q: oo o o O dy Find using implicit differentiation, for the equation z +y = 11 is , da x4 x4 x4

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Q: Which of the following is the general solution to the differential equation + = 2e*y? dx

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Q: tan x dx

A: The answer is in step 2.

Q: Find ALL extremum of the function g(x) = xV4 – x (-00, 4]. Use both the derivative and on then Desmo...

A: To find out the extremum of the function. 

Q: Which of the following is the general solution to the differential equation y2dx = (xy-x)dy?

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Write an equation for the function graphed below

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Q: 2x +6, r 6 is continuous at I = 6. Justify the conclusion. (i) f(6)=| (ii) lim f(x)= (iii) lim f(x)=...

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Q: 2х + 7, х 7 From the following results, determine whether the function f(x): is continuous at x = 7...

A: I am attaching image so that you understand each and every step.