In three-space there are four possibilities for the intersection of two lines. True False

Q: 2.5 2x dx 9-x²-8x

A: since you have posted multiple question i can do first question as per our company guidelines,…

Q: The marginal profit is given by MP= P'x = x(90x+2x^2). Find the total profit function.

A: To find the total profit function, we need to integrate the marginal profit function with respect to…

Q: If z = (x + y)e³ and î = u² + v² and y = u² — v²,

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Q: 3. Determine the absolute extreme values for the function Y=3sinx + 4cosx on the interval [0,27]

A: y = 3sin x + 4cos x ,on the interval [0, 2pi]

Q: 4. Evaluate √xe-²x² d

A: ∫xe-2x2dx

Q: In the space below, solve the equation 5x-3=4x+1 Show your work

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Q: Find the plane determined by the intersecting lines. L1 x= -1+2t y=2+t z = 1 - 3t L2 x=1-4s y = 1+2s…

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Q: Let f(x)= - (2.-17). a. Use the following definition of the slope of the tangent line at x = a to…

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Q: 6) Use the Binomial Expansion Theorem to determine the sixth term in the expansion of (x + 3y)8

A: The nth term in the binomial expansion of (x + y)n is given by Tr+1=nCrxn-ryr

Q: 6. Write out the series and find the sum: Σ= 2(k − 1)(2k – 1)

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Q: Suppose that lim an = 5 and lim bn = 9. n-0 n→∞ Determine the limits. lim (an + bn) = n→∞o lim a =…

A: We are given that limn→∞an=5 and limn→∞bn=9.We need to find the given limits.

Q: The expression (3a¹b³c¹)² (2a²b³c³)³ equals na²b³c¹ where n, the leading coefficient, is: and r, the…

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Q: Approximate the area under each curve over the specified interval by using the indicated number of…

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Q: The force F has a magnitude of 310 lb and acts along the diagonal of the parallelepiped as shown.…

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Q: A bucket begins holding 10 kgs of sand. The bucket is to be lifted to the top of a 25 meter tall…

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Q: Determine the concavity and points of inflection for y = 2cos(x) + sin(2x) over the interval 0 ≤ x ≤…

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Q: Assignment: Consider the region bounde by the parabolas: 2 2 y = x + 4x + 3 and y = x + 2x + 3. A.…

A: Area under the curve f( x ) and g( x ) is given as A = ∫ab[ f( x ) - g( x ) ]dx Given functions y =…

Q: by identifying the domain and any symmetries, finding the derivatives y' and y'', finding Graph the…

A: We have,   y=x4+256x2

Q: 2^32cos2x is not a correct solution for the equation submitted

A: We will find first few derivative directly and then use that pattern to find solution.

Q: Calculate the integral approximation Se for S6 || ← [₁4+² dz. S 0

A: We have, integrate 4 ^ (- x ^ 2) dx from 0 to 1 n = 6

Q: Find the exact solution for e2-2e-35=0. 2x If there is no solution, enter NA. Enclose arguments of…

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Q: Use the graph of H shown to the right to find the limit. When necessary, state that the limit does…

A: The graph of the function Hx is To determine: The value of limx→-2Hx.

Q: 3. Find the local extrema of the given function z(x,y)= x³ - 8y³ -12xy + 18

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Q: Q Use horizontal strips to find the area, that is, integrate with respect to y. = First find the y…

A: Given functions  y = 3.75x x = 8.5 - y2

Q: 1 cotx ln sinx|dx x In [ x Ja 2 1 2

A: To find, ∫ cotx2lnsinx2dx Let I=∫ cotx2lnsinx2dx We know that cot(x2) = cos(x2)sin(x2). Therefore…

Q: company has revenue function R(x)=8000x-40x2-x3 (in dollars) wehre x is the number of items sold. A…

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Q: The total cost function for a product is C(x)=700ln(x+100)−100, where x is the number of items…

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Q: (a) Determine the domain and range of the following functions. (1) z=sin(x-y)

A: As per guidelines we can solve only first question if multiple questions are posted. Please repost…

Q: consider the region bounded by the parabolas: y=x² + 4x + 3 and Find y = - x² + 2x + 3 the area of…

A: The region bounded by the parabolasy=x2+4x+3 and y=-x2+2x+3

Q: Graph the function and then find the specified limits. If necessary, state that the limit does not…

A: To graph the function and then to find the specified limits. fx=4x-4 To find limx→1 fx and limx→-1…

Q: Compare the functions f(x) = x³ and g(x) = ex by graphing both functions in several viewing…

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Q: Please solve this 100% Correctly and ASAP. Thx  Find the equation of the tangent to the function y =…

A: Tangent line formula passing through the point (a,b) and slope m is  y-b=m(x-a)

Q: 2. A 300 cm long feed trough, in the shape of an isosceles triangular prism, is to be made with…

A: Let base of isosceles triangle =2x cm As we know altitude is perpendicular bisector to base of…

Q: Calculate the integral, if it converges. If it diverges, enter diverges for [= υ - dv= - your…

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Q: _et f(x, y) = x+y+xy. Find f ₁² f(x, y)dxdy. Enter the exact numeric answer.)

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Q: Calculate interval of convergence for series.

A: We use ratio test to find the interval of convergence.

Q: 4. Evaluate the upper sum for f(x) = cosx, 0 < x <m,w T,with n=4..

A: f(x)=cos x    , 0≤x≤12π  with n = 4 To evaluate the upper sum for the function f(x) = cos(x) over…

Q: Consider the region bounded by the parabolas: y : x² + 4x + 3 and y = x² + 2x + 3. the volume of the…

A: Red graph is y=x2+4x+3 and blue graph is y=-x2+2x+3

Q: Let ux² then dx = du 2x and so 2 2 du S ƒ ze²³d² = ƒ re² de S xe dr xe" 2x 0 0 1 S = (²-1) e" du

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Q: Find the point at which the line meets the plane. x= −3+6t₂ y = −4+5t, z= −3+4t, x+y+z= -25 The…

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Q: The parametric equations represents a line. Without eliminating the parameter, find the slope of the…

A: Given x = - 6t - 3 &amp; y = 5t + 2

Q: Work of 3 Joules is done in stretching a spring from its natural length to 19 cm beyond its natural…

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Q: Determine the derivative of the following exponential function d. f(x)= 10* (sin sin x)

A: We have to find the derivatives of the function.

Q: 2. Given z(x, y) = x².3√/y+ex-y + 5 find oxoy²

A: Question 2)  Given function  z( x , y ) = x2.y3 + e4x-y + 5x2∂3z∂x∂y2 = ?

Q: A runner is jogging at a constant speed of 3.6 miles per hour. a. Find the distance d that the…

A: The speed of a runner,  v = 3.6 miles per hour To determine:  (a) The distance d travelled by runner…

Q: Find the mass of the two-dimensional object. An oversized hockey puck of radius 5 in with a density…

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Q: 2) Consider two spheres (x - 2)² + (y - 3)² + z² = 1 x² + y² + z² = -8y + 2z + 3 a. What is the…

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Q: = The federal tax rate for heads of household is given in the graph shown to the right. Use the…

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Q: Suppose that R is the finite region bounded by f(x) = √ and g(x) = co/8 3

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Q: (a) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values. (c)…

A: Given conditions: The given function is y=x⋅x+3 ​ What we need to find: (a) Intervals of increase or…