A rectangular lot has an area of 1600 sq.m. Find the least amount of fence that could be used to enclose the area.

Q: Determine the equation of the plane that contains the points P=(1,-2,0) P=(1,-2,0), Q=(3,1,4)…

A: Here we have to determine the equation of the plane that contains the points P(1,-2,0), Q(3,1,4) and…

Q: Given the function f(x) 3x? f(x + h) – f(x) Find the difference quotient -3(h + 2x) f(x + h) – f(x)…

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Q: The result of the following double integral is 2 2 у ST (6 x² y - 5 e)dxdy= ? 0. -2 y 909 -20e? +…

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Q: Find the Maclaurin series of 7. n=0

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Q: Solve the problem. A certain object moves in such a way that its velocity (in m/s) after time t (in…

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Q: Use Laplace transforms to solve this initial value problem. of th series, x" + 6x' + 25x = 0 %3D LAH…

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Q: Let f(x,y) = (x^2 - y^2) / (x^2 + y^2) ^2 . Let R = [1, infinity) x [1, infinity). Evaluate the…

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Q: f(x) = x – x + sin(x) – 1 Solve this question by the Bisection method on the topic of solution of…

A: The given equation is  f(x)=x2-x+sinx-1.

Q: Find an approximate value for the integral, using the trapezoidal rule w intervals. Round the answer…

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Q: Develop vector and parametric equations for the line through (7,2,-1) and parallel to r = (4,7,0) +…

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Q: Given the triangle below, find the angle 0. 4 Give your answer in degrees rounded to the nearest…

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Q: Evaluate the line integral F. dr, where C is given by the vector function r(t). F(x, y, z) = (x +…

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Q: V9 - 4x? dx

A: See the details solution in below

Q: ALL of the following are not types of functions except. а. one - to - many b. many - to - one c.…

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Q: x arctan xdx

A: Given

Q: Question 12A.)

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Q: Exercise: Show that the following differential equations are homogenous and solve. 1. (x+y³)dx+xy…

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Q: dx (2x – 3)v5 – 12x + 4x² |

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Q: Antiderivatives resulting in inverse trigonometric function x2 -dx x4 + 3

A: I am attaching image so that you understand each and every step.

Q: The concentration, C, of phenylbutazone, in micrograms per milliliter (ug/mL), in the plasma of a…

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Q: Find T3 centered at x = a. 1 1. f(x) = -1 %3D a = 2+ x

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Q: ( ) Find the Laplace transform F(s) = L {f (t)} of the function f(t) = 2 sinh(at) – 8emt defined for…

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Q: y=(x+5)^x Differentiate

A: Solution: y=(x+5)^x dydx=ddx((x+5)x)

Q: The function T(t) = 43.6 + 5t - 0.3t2, 0 sts 6, gives the temperature T as a function of time t.…

A: Given query is to find the average temperature for the 6 hour period.

Q: 4. Express the following single logarithm: as a i) log3 54 -log3 6 ii) 2 In (5a’b) – In (125 aº b²)…

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Q: solve question part (b), in the picture, not that its not a graded question

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Q: (x" + 2x + 4y = 0 ly" + x + 2y = 0 x(0) = y(0) = 0 %3D x' (0) = y'(0) = -1 of bee %3D ondeplo no…

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Q: Determine all critical points for the function. f(x) = (x - 4)³

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Q: The park across the street is to be treated to control a new algae that is growing on top of the…

A: Given, f(t)=y=25t²-300t+600 The given equation is that of a parabola. It is of the form,…

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

A: Given, 107+6r +7500= 121000 Simplifying the above equation we have, 107+6r = 113500

Q: Show that Q(V3, V3) = Q(v3+ V3) %3D

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

A: The given equation is: 5x2=61-x   As we know that; logaxb=b·logax ; x≥0

Q: Determine the one-sided limit of the function f in the figure at the given point. 1- -4

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Q: 7 p(x) =- Given the expression Vy? – 2 Is this mathematical expression stated correctly. Select one:…

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Q: How much work is done by gravity in causing a 45-kg rock to tumble 54 m down a slope at an angle of…

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Q: J (금2 + 3z2 +1) dz 4. 6) dx 5.

A: 4) the integration of the integral is 3z4/4 +3z2+1 5) the integration of the integral is  -2x5/3 -6.

Q: Use the limit definition of the derivative to compute the equation of the tangent line of f (x) =…

A: We have to compute the equation of the tangent line of f (x).

Q: Three Vectors are given as shown. 40 60 In the figure above, the magnitude and direction of the…

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Q: Consider the equation below. = 9 cos2(x) – 18 sin(x), 0 < x < 2n (a) Find the interval on which f is…

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Q: sin(x4) lim X-0

A: The given limit,       limx→0sinx4x

Q: If 0 = then %3D sin(e) = cos(0) = CO: !3! Give exact values. No decimals allowed! V2 With functions…

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Q: Construct an appropriate triangle to find the missing values. (0° s 0s 90°, 0 ses TE/2) Function e…

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Q: How will you differentiate an implicit function that can't be expressed in the form of y = f(x)?

A: For the differentiation of implicit function, we will differentiate each side of an equation with…

Q: Sketch both parametric curves below. Then determine if they intersect. If they intersect, find the…

A: Consider the parametric curves C1:    x1(t)=2cost,  y1(t)=2sintC2:    x2(t)=sint,  y1(t)=sint

Q: The graph of f consists of line segments, as shown in the figure. Evaluate each definite integral by…

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Q: The graph of f consists of line segments and a semicircle, as shown in the figure. Evaluate each…

A: To find the given integration using the given graph.

Q: -f(x – 2)dx

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Q: In 11 In y ex+y dx dy. Evaluate the integral 1 0

A: Find your answer below

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 1/8…

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Q: V9 – 4x2 dx

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