If the side e of a square is increased by 1%, then the area is increased approximately (A) 0.02e (B) 0.02e2 (C) 0.01e² (D) 0.01e

Q: A corporation manufactures candles at two locations. The cost of producing x₁ units at location 1 is…

A: cost of producing x1 units at location 1 is C1 = 0.02x12 + 4x1 + 570 cost of producing x2 units at…

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Q: For the following function find (a) f(4), (b) f f(x) = 4x² - 40x+97 (a) Find the value of f(4).…

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Q: -4-3-2 7 y = 3 -1 Write an equation for the function graphed above

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Q: 2. For the following systems with complex eigenvalues, find the general solu (4) x² - ( 1 ) x x' -5…

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Q: sin x 7+ cos 2 X -dx

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Q: Solve the following differential equations d²y dy 5 dx² a) b) 2d²y dx - 14y = 2 cos(x) dy +7x+ dx²…

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Q: 1. If y = √√√x. Find y" X₁

A: To find the higher derivative of y(x).

Q: (9) Express the domain of f(x) = log(2x - 4) in interval notation. A (0,2) B (-2,00) C (2,00) D…

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Q: This is not a graded assignment, this is review we did but I do not understand some stuff) I wanted…

A: Vr=4-r2 Use the formula of the integration, ∫xn dx=xn+1n+1+C, n≠-1

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Q: Assuming that the equations define x and y implicitly as differentiable functions x = f(t), y =…

A: The given parametric equations are x=t3+ty+2t3=2x+t2

Q: Find a unit vector that is orthogonal to both u and v. u = (-8, -6, 4) v = (10, 12, -2) (60,24,156)

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Q: practicing  Expand Completly  log squareroot of x^3 / x-1  Evaluate  sin 135              sec…

A: (1)  let  H=logx3x-1

Q: many different 8-digit phone numbers do not contain the digit 4? Assume that any digit in the phone…

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Q: Suppose that f(x, y) = xy. The directional derivative of f(x, y) in the directional and at the…

A: f(x,y)=xy, In the direction of <1,5> at the point (4,-5)

Q: For the following demand function, find a. E, and b. the values of q (if any) at which total revenue…

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Q: Part 1 A​ firm's marginal​ profit, P, as a function of its total​ cost, C, is given by the equation…

A: dP/dC=−240/(C+1)^3/2 And  P=​$12 when C=​$63.

Q: Let lim f(x) = 8 and lim g(x) = 6. Use the limit rules to find the following limit. x-2 X-2 lim X-2…

A: given, limx→2f(x)=8  and limx→2g(x)=6let   B=limx→2f(x)+g(x)4g(x)

Q: ) Consider two planes, 3y + 2z = 1 and x - 5y +z = -6. a. Find the line of intersection of the…

A: NOTE: Refresh your page if you can't see any equations. . given planes are the system Ax=b is…

Q: Find fo((x² + 3y)i + y³7). dr where C consists of the three line segments from (1,0,0) to (1,5,0) to…

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Q: 3 Solve the following differential equation y"-2y+y=e=

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Q: J.F S F = (e sin y, e cos y, yz²) is the surface of the box bounded by the planes x = 5, y = 4, z =…

A: Calculate ∬F.dS, where F=exsiny, excosy, yz2 S is the surface of the box bounded by the planes x= 5,…

Q: f(x) = 2x³ - 3x Find f'(x) using the definition of the derivative.

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Q: Find an equation for the tangent line to the curve (x^2/9)+(y^2/36) = 1 at the point (−1, 4√2).

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Q: (a) The fourth Taylor polynomial for f(x) = ln (sec(x)) at a = 0) is 2 co + C₁x + ₂x² + €3x³ + ₁x²…

A: The given function is:f(x)=lnsec x

Q: In the following exercises, differentiate the given series expansion of f term-by-term to obtain the…

A: To find the derivative of the function by differentiating term by term. According to our company's…

Q: Consider the following. 6 x (x - 1) Let u = 5x³ - 1. Find du. du = dx dx Indicate how the limits of…

A: Given integral ∫01x2( 5x3 - 1 )4dx

Q: Assume that y is directly proportional to x. Use the given x-value and y-value to find a linear mo…

A: given y is directly proportional to x.given x=2,y=58

Q: Find the arclength of the curve x = Y = 12/2² t² with 4 ≤ t ≤ 8.

A: We have to find the arc length of the given curve.

Q: (4) Write the equation (in slope-intercept form) of the line passing through the point (2,3) that is…

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Q: 3) Consider the series 33-n 5-n+1 n=1 i) Show that the given series is geometric series. ii)…

A: Given series is ,                ∑n=1∞33-n5-n+1 we have to show the given series is geometric series…

Q: Consider the sequence defined recursively by a1 = 2, a2 = 2, an+1 = for an- a. Find a matrix that…

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Q: Graph showing asymptopes and X-Y intercepts  y= 2x+3 / x-1

A: To graph the following function by showing its asymptotes and x‐y intercepts. y=2x+3x-1 Note: Since…

Q: Find the indefinite integral and check the result by differentiating. [2x (x²+6) dx 6 [2x (x² + 6)…

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Q: Solve the initial value problem for x as a function of t.. dx (1²-13t+42) dt =1 for (t> 7), x(8) = 0…

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Q: S x² cos=-=dx 2

A: Given that : x2cos(x/2)  We find integration of this given function with respect to x.

Q: Find the arclength of the curve x = 4 cos(2t), y = 4 sin(2t) with 0 ≤t< FIO

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Q: practicing checking  f(x)= x2-3x & g(x)= 2x-1      Determine f(g(x))

A: f(x)=x2-3x g(x)=2x-2

Q: Solve the differential equation subject to the initial conditions. y+y=2e: y = 11 when x = 0 Oy-11e*…

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Q: valuate [₁ F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to…

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Q: π (14) Find the exact value of each of trigonometric functions for = – 4 sin (-7)= sec (-) = tan…

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Q: amount of material possible. (Hint: The surface area of a cylinder is S = 2πr2 + h(2πr), and its…

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Q: A particle is traveling in a straight line. Its position at time t in seconds is given by s(t) = 4√t…

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Q: (43) (a) Express 3° in radians. (b) Express T in degrees.

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Q: 21. dy dx = X xy + y Hint: Let u = x2.

A: Question 21:We have to solve the differential equation:dydx=xx2y+y3

Q: Use the model for projectile motion, assuming there is no air resistance and g = 9.8 meters per…

A: height h=1.1meters Initial speed=105 meters/second  Angle  = 30° above horizontal

Q: Approximate the x-intercepts of the graph. Use a graphing utility to check your solutions. (Enter…

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Q: Find the surface area of the part of the plane a 7+ 4+ 5y that les inside the cylinder 2² +8² 16…

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