Q1: Solve the following equations system, using Gauss elimination method 4y1 + 2y2 +3y3-5 =6 3y₁ + y2 +2y3-4 =3 y₁ + y2 +4y3 -11=0

Q: Use the standard Maclaurin series for sin(x) and cos(x) to find the first three non-zero terms in…

A: We have, Maclaurim series for sin x and cos x

Q: e following is not a D.E.? -(z)=0 of the D.E. xdy + ydx = 0 is B. x² + y² = C hose solution is y =…

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Q: A hot object cools down according to Newton's Law so that thours after the start, the rate that heat…

A: The rate that heat leaves are 26e-t3

Q: Find the magnitude of the vector. Given answers in simplest radical form for magnitude. p =

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Q: Determine either absolute convergence, conditional convergence or di Σ (-5)-n n=1 O Converges…

A: The given series is  ∑n=1∞-8-n [picture is not clearly visible, if it is any other digit instead of…

Q: II. If f\x, y, z/ = ôf of of += e3x+2y+4z, then find x+y Ox Oy ôz

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Q: Q1} Find the differential of ex²

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ sin (√x) dx

A: Given integral is ∫sinxx dx

Q: Inx 2) Find the average value of the function g(x) = over the interval [1, e].

A: Given the function g(x)=lnxx over the intercal [1, e].

Q: 1 Find the arc lengths of the curve y = ln (1-x²) on the interval 0≤x≤. Round your answer to 4…

A: The given curve is: y=ln1-x2     on the interval  0≤x≤12

Q: 61. an = nsin RIS n

A: We find the limit of given sequence.

Q: Find the derivative of f(x)=; in final answer -2x 13/4x² +11x with no negative exponents

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Q: u-01-)

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Q: (a) True or False: If f'(x) = g'(x) then f(x) = g(x). (b) True or False: If f'(-1) equals 0 then f…

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Q: If C(x)= 17,000+600x - 2.8x² + 0.004x³ is the cost function and p(x) = 4,200- 7x is the demand…

A: We have given the cost function C(x) = 17,000 + 600x − 2.8x2 + 0.004x3  and demand function p(x) =…

Q: -6 -5 -4 -3 5 2 0 2 Use the graph to estimate the slope of the line tangent to the given graph at…

A: Given that , the curve and the line passes through the point (-3,2) To determine the slope of the…

Q: Find the standard form of the complex number 6 (cos+ i sin). Round values to the nearest hundredth.

A: Standard form of the complex number is a+ib , where a ,b are real numbers.

Q: Find the derivative of the function. g'(x) = - y = sin(x) cos(x) In(3 + 4v) dv

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Q: ntervals on and concave down and identify the x-value corresponding to any points of inflection. "

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Q: Find the value of the constant b that makes the following function continuous on (-∞, ∞ if x 8 PL {…

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Q: 1. The electrical power p(t), in kilowatts, being used by a household as a function of time t, in…

A: p(t) = power in kilo watt t = time

Q: 3. Calculate the given quantity if: A=i-3j+2k; B=3i+3j; Č=3i+3k 6A-2B+C →>> b) Determine a unit…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: You know that: ■ +5√3 food f(t) dt = 31 • ƒ(7) - 22 Evaluate: = I · ƒ(7) = 25 ľ 70 cos(x) f(10…

A: Let u=10 sin x Differentiation du=10 cos x dx

Q: Find the numerical value of the sum below. 6 Σ(i² - i) = i=3 I-

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Q: Evaluate the definite integral. [° ( Z - ²3/) dx J₁ X

A: ∫16x6-9xdx

Q: xp zx^x 0/ S (a)

A: The given integral is xsqrt(1-x2), limit from 0 to 1 to

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius…

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Q: Consider the series Answer: L = n=1 5" (n+1)4²n+1* Evaluate the the following limit. If it is…

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Q: 1 and tan B = 1, and that angles A and B are both in Quadrant I, find the exact value of sin(A + B),…

A: Given that sin A=126 and tan B=1, and that angles A and B  are both in Quadrant I, then to find the…

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

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Q: 12-0 dt = + C

A: We know that the integral of x^n dx = x^(n+1)/(n+1)

Q: The initial and terminal points of AB are given below. Write the vector in component form. A (-5, 2)…

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the…

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Q: Marginal Cost A division of Ditton Industries manufactures a deluxe toaster oven. Management has…

A: Give that marginal cost function C'x=0.0006x2-0.14x+25 and daily fixed cost is = $900

Q: Let w be a vector with initial point (1,5) and terminal point (-6, –5). Write w as a linear…

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Q: Find the direction angle of the vector. Round to the nearest hundredth of a degree for the angle. p…

A: We have to find the direction angle of the given vector. First as direction angle we will measure a…

Q: Compute the partial sums S2, S4, and S6. S2 = S4 = S6 = 3 1.2 + 3 3 + 2.3 3.4 +...

A: First we find the sops of given sequence.

Q: 4 -2 -2 -4 h(x). 10 X

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Q: y = x³, y = 0, x = 2 . Find the volume created by revolving about a = = 3. Use washer or disk…

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Q: Write the vector below in trigonometric form. m = −10i +10j m = 4√5 m = 4√√5 m = 10√/2 m = 10√/2…

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Q: Exercises 77-78: Critical Thinking ing for the given graph of an exponential function f. (a) Give…

A: To find the following for the given graph of an exponential function f. (a) To give the domain and…

Q: Function f(x) is positive when 1<x<2, and it is negative when 2<x<3. If the area of the region…

A: If Function fx is positive in a,b∫abfxdx=Area under the curve fx over inteval a,bIf Function fx is…

Q: Let v=PQ, where P = (3, 5) and Q = (8,8). What is the head of the vector v' equivalent to v based at…

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Q: [ 2 (2x² – 3x) dx

A: we have given integration ∫25 2x2-3xdx

Q: Write the following expression as a single definite integral of the form f(x) dx. [²_1(x) dx + [³1x)…

A: Given expression is ∫-22fxdx+∫25fxdx-∫-2-1fxdx

Q: Find the absolute value of the complex number 1 + 2i.

A: We need to find the absolute of given complex number.

Q: 8) Use the table of values below to find the average rate of change in f(x) over the interval 0≤x≤…

A: Given Table is give. We have x and f(x) values

Q: Use the Integral Test to determine whether the infinite series is convergent. 8 n=1 -n² 16ne

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Q: Pls not handwritten . Submit in text form pls.The plane x + y + 2z = 30 intersects the paraboloid z…

A: It suffices to minimize the square of the distance to the origin  D = x^2 + y^2 + z^2, subject to…

Q: Find a quadratic equation with the given roots. Write your answers in the form Ax2 + Bx + C = 0.…

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