Consider the following system of linear equations: X1 - 4x2 + 4x3 = -1 2x1 - 6x2 + 2x3 = 8 %3D -6x1 + 3x2 – 15x3 = 9

Q: Given an angle 0 = 13.5°, what is the measure of 20 in radians measure? %3D o 3T 20 O 2340T O 46807 ...

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Q: Evaluate, thus Is 27- 5) Calculate the Taylor polynomials T2 (a) and T3 (x) centered at a = a of the...

A: Taylor polynomial is given as                                                                   Tn(x...

Q: -1 Compute the area of the region enclosed by the lines y = r and y = z and the curve r = 10 – 2y?. ...

A: This question is related to application of integration.

Q: Find the derivative of the function f by using the rules of differentiation. f(x) = 3x4 - 3x7/2 + 7 ...

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Q: The function f(æ) can be approximated by L(x) = 3 – 2(x – 4), near x = 4. What is the value of f' (4...

A: topic -linear approximation

Q: 2. Consider the function h(x) = 11 - + x3 a) Find the equation of the tangent line to the graph of h...

A: We will find the equation of tangent line as shown below

Q: 12. Let f(x, y, z) = xy – 2³. Calculate the directional derivative of f at the point (3, -2, –1) in ...

A: We have to find direction derivative

Q: The quadratic approximation at x = 1 to f(x) is Q\left(x\right)=10+3\left(x-1\right) 3 (x – 1) + 2(x...

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Q: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

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Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin ...

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Q: Determine the general solution of the given differential equation

A: Rewrite the equation in standard form. And solve it 

Q: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: Suppose u(t) = w(t? + 4) and w' (5) = 11.

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Q: dx Evaluate the integral: a4/49x2-25 (A) Which trig substitution is correct for this integral? 25 se...

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Q: Find a set B that is well-defined such that 10 ɛ B and 5 ɛ B. B = {x|x ɛl and x < 11}, I the set of ...

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Q: Given the function f(x)=−2x^2 1) Find the difference quotient f(x+h)−f(x)/h 2) Find f'(x) by deter...

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Q: Find the alue of C that satisfied the theorem for the function fCx) = 3+ Jc on the %3D in terval (4....

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Q: Find the equation of an ellipse with center at (2,-2), vertex at (7,-2) and focus at (4,-2)? O (x + ...

A: We have to find the equation of ellipse

Q: 2. Consider the graph of g(x) 2x+3-1 a. List any x-values at which g(x) is not differentiable: There...

A: Given: gx=2x+33-1 The graph of g(x) is shown as:

Q: DETAILS SCALCET9 13.XP.2.009.MI. Find the unit tangent vector T(t) at the point with the given value...

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Q: use the vortex (h,k) and a point on the graph (x,y) to find the general form of the equation of the ...

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Q: if theta is the angle between the vectors V and W in R3, then the tangent of theta is equal to (V cr...

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Q: In the adjoining figure u and V are unit vectors. Evaluate the following and input your numerical an...

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Q: A thermometer indicating 18 degrees Fahrenheit is placed in a room with a temperature of 70 degrees ...

A: Given:- thermometer indicating 18 degrees Fahrenheit is placed in a room with a temperature of 70 de...

Q: Find the Differential Equation of number 3 question [2x+ycos(xy)]dx + xcos(xy)dy = 0

A: Follow the procedure given below.

Q: In the interval 0< x < 27 how many values of a satisfy the equation sin x = -? 01 0 4 O 3 0 2

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Q: Write down your complete solutions. Enclose all final answers in a rectangle. 1. Obtain the Derivati...

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Q: B. Read and answer the problem carefully. 1. A spherical balloon is inflated with gas at the rate of...

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Q: Ex 3: Use the chain rule to express in terms of x and y dx c) y = ( and x =-1 att 2

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Q: Radium decomposes at a rate proportional to the amount present. If the half-life is 1600 years, find...

A: NOTE: Refresh your page if you can't see any equations. . the initial amount is a=100% half-life is ...

Q: Given the angles a, B where 0 < a, B < - which of the statements is TRUE? 4 O The angle a+B is in QI...

A: Topic = Trigonometry

Q: 5æ? about the y axis for 3 < x < 8 Find the area of the surface obtained by rotating the curve y No ...

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Q: At every point of a certain curve, y′′ = 12x3 − 4x. Find the equation of the curve if it is normal t...

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Q: 16. 15. sin x cos (x/2) dx 18

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Q: For mumbers 9- 10. Consider the probability distribution of the number of mangoes given below. R PIR...

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Q: B. EXACT EQUATIONS Find the general solution of the following differential equations dx (2) 3y sin x...

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Q: 3. If g(x) = x4 – 2, find g'(1) and use it to find an equation of the tangent line to the curve at t...

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Q: Integrate f 72x+3 527+3 а. +C In49 O b. In42 727+3 72a+3 +C О с. + C log49 72z+3 O d. In49 + C a.

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Q: dy (x2 — 9) + ху %3D0 + ху — 0 dx

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Q: (D² + 3D + 2)y = 12x²

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Q: 1. Find the area of the shaded region. 3 y = Vx X 4 y = -x а.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first quest...

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves f(x)=x^2+8 and g...

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Q: 5. Find the linear approximation (i.e. the tangent plane) of f(x, y) = Vx/y at the point (9, 4) and ...

A: The Local Linear approximation of f at (x,y) using the partial derivative f at (x0,y0) is given by  ...

Q: 3. S 10x(x² – 1)ª dx 4

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: a) cos -1 V3 b) V3 sin- c) cos cos d) sin sin- 4 cos cos 2

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Q: x-3 Given the reciprocal function, x+5 A] Identify the vertical asymptote (x-int) and the horizontal...

A: The given problem is solved below in detail.

Q: Use the given functions to find each of the following and their respective domains. Do not try to si...

A: given,

Q: 3cot 3t csc2 3tdt 4+3cot 3t'

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Q: v(t) = VE – Vt, then find the second derivative, v" (t) =

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Q: Write an equation of the tangent line to the curve f (x) = 2// + 3x at the point (4, f (4)). Upload ...

A: Here, the given equation of the curve is: f(x)=2x+3x To find the slope and the equation of the tange...