Express −i+j in the form [a,b]

Q: ; find value of matrix A eigen -2 A = 2. 2.

A: To find the eigen value of the given matrix A , we have to evaluate the determinant of A-λI and then...

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Q: E valuate the Following Integral 2+7sin z z 2. COS Z

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: 4. Point A (-4, 2, 5) and the two vectors, RAM = (20,18, – 10) and RAN = (-10,8, 15), define a trian...

A: We have to find unit vector perpendicular to triangle and according to given question. 

Q: Question 9 12 Let Fx) be an antiderivative of fx), with F(12) = 12 and f (x) dx = 9. what is F(6) = ...

A: Given: fx=F'x  And F12=12 ; ∫612fxdx=9   From the fundamental theorem of calculus; If dFxdx=fx then,...

Q: Let f be a function defined by z = f(x, y) = 3xy? – 4y. Find the actual change in z when x changes f...

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Q: 6. f(x) = Vx – 1

A: This question is based on solving 0/0 indeterminate form using L Hospital rule.

Q: The table gives the required standard weight, w, in kilograms, of American soldiers, aged between 21...

A: If we make a graph of given table data then it will give a Linear graph increasing  .a. ) W increase...

Q: erations are required to form the product AB? Please explain clearly.

A: Solution is attached below.

Q: Book Design A book designer has decided that the pages of a book should have 1 in. margins at the to...

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Q: Find the area of the triangle with vertices P(1,5, –6), Q(0, 0,0) and R(2,4, 1). NOTE: Enter the exa...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and the find the nth Maclaurin polyno...

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Q: Find the Wronskian of the functions f(t) = 5e' sin(t) and g(t) = e' cos(t). %3D NOTE: Your answer mu...

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Q: Find the radius of convergence of in=0 negative infinity -1 infinity

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Q: sin2x 4. Find f'(x) and the equation of the tangent line to y = at x = 1 1-cosx

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Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for ...

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Q: Here is the problem : a) Classify this differential equation as separable, linear, exact, or non-e...

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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: If the Wronskian W of f and g is t'e", and if f(t) = t, find g(t). NOTE: Usec as an arbitrary consta...

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Q: Find the derivative of f(x) = -4x ( 3' *(3"). %D 3+4

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Q: c. If RO = 3x – 12 and RC = 2(x – 2), find x and RO. 2. In Figure 4, OL = IL and mlIPL = M20TL. a. N...

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Q: Use the given graph of the function f. y (2, 10) 10 (-2, 6) (-5, 0) (5,0) -10 (0, 0) 10 X (-8, -4) -...

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Q: Evaluate 区

A: Since you have asked multiple questions in a single request we would be answering only the first que...

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: Find the derivative of f(x) = log, (-6x- 6x+ 5) at the point x = 2. %3D Provide your answer below: f...

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Q: 2 sinx d x V1-2cosx

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Q: 1a)Evaluate the double integral over the rectangular region R: ∫∫R 4xy^3 dA;R=(x,y) :−10≤ x ≤10,−8 ≤...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Sæ² – 4x + 1, x 4 Evaluate the following limits for h(x) and Justify your answer. | (i) lim h(x) = ...

A: Given :h(x)=x2-4x+1x<45-xx≥4

Q: If f(x) = 3 cot-x + 7, then find the value of f'(-7) is. 3 50 -3 50 50 V50 O O

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Q: e the following differential equations of -y' = 2y – x; 2-x'y'y'+ dy 2xyy' - y' + Jy* [4- dx +x*; dy...

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Q: e Wallis's Formulas to evaluate the integral. 'T/2 .3, cos xp (x),s

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Q: Given the table of values below, find h'(1) if h(x) = g(x² f(x)). %3D f(x) f'(x) g(x) gʻ(x) 1 -3 -3 ...

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Q: 3 Let f be a continuous function such that f(x) dæ = -6 and c10 c10 | f(x) dx = 3. What is the value...

A: ∫-2-3 f(x)dx = -6 so if we change the limit of integration ∫-3-2 f(x)dx =+6 ∫-210  f(x)dx =3 so ∫-31...

Q: Evaluate the integral. (Use C for the constant of integration.) 4 sin V x dx n°(v.

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Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

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Q: 23. у + ху — ху", у(0) 3D 3 y(0) = 3

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Q: Given the power series, (x +7)" determine if the convergence of the series at x = -9 is conditional ...

A: Here      an = (x+7)n2n n2-13⊙ Then putting x= -9 in an, we get:     an = (-9+7)n2n n2-13          =...

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. We want to integrate a function over the region bounded by x = y2 - 1 and x = /1- y2. What should...

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Q: Given the table of values below, find h'(1) if h(x) = g(x2 f(x)). f(x) f'(x) g(x) g' (x) 1 1 -3 -3 -...

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Q: The rate of U.S. per capita sales of bottled water for the period 2007-2014 could be approximated by...

A: Here we will find the total US sales of bottled water from start of 2008 to start of 2010,

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the p...

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Q: Question 6 * (4x – 1) dx (2x + 1)½ Perform the Integrations Use the editor to format your answer

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Q: a. V3cosxcscx = 2cosx

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Q: 3 Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = :-1 %3D 1- 2x Provid...

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Q: 2. Differentiate y with respect to x of the equation y=- X+1 3. Solve for x of the equation 2 In(x+1...

A: (2). Given: y=x2x+1   We know that; The Quotient rule: fg'=f'·g-g'·fg2   From the definition of the ...

Q: 2 5. f(x) = x3

A: We will use the definition of a derivative to solve this question.

Q: A $25, 000 vehicle depreciates $1500 a year as it ages. Repair costs are $1500 per year. (a) Write f...

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