Differentiate the function y = -5e0

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

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Q: 97 97 Suppose that ai = -4 and b; = 14. Compute the sum. i=1 i=1 97 2(- la; + 4b;) Question Help:…

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A: Given that a farmer wants to fence an area of 37.5 million square feet in a rectangular field and…

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A: given a graph of a function y=f(x), y represents the value of the function f at x=a written as…

Q: How do we estimate lim,- f (x) NUMERICALLY? O pick one value of x close to "a" to see what f(a) is…

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Q: a A b Note: Triangle may not be drawn to scale. Suppose c = 12 and A = 20 degrees. %3D Find: a = b =…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: 2. fCx) = x+2-100 fcx)= Solve this question by the Bisection method on the copic of solution of…

A: We will solve the equation by putting value of x.

Q: Find dy/dx of the following function

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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: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

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Q: W: i: Show your work. a) [1, j: Find the exact area of the surface obtained by rotating the curve y?…

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Q: s/25 - s? ds s/ 25 - s ds

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Q: Find the area of the region bounded by the graph of f(x) = Jx, the y-axis, and the tangent line to…

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Q: 4. y= log1,(x* +3x² +1) %3|

A: Given: y=log10x4+3x2+1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x…

Q: Evaluate the derivative by using the appropriate Product Rule where r, (t) = (r,r,5t), r(2) = (2,…

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Q: Need to show workings

A: Apologies for the inconvenience.   ∫abfxdx is given by the shaded region below: This region is…

Q: An equation of an ellipse is given. 7x^2 + y^2 = 49 Determine the length of the minor axis.

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Q: 1) fox)= (x +2)-4

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Q: Drag each tile to the correct box. Arrange the hyperbolas in increasing order of the horizontal…

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

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Q: Example s- . Sketch he region of inteyration anol evalunte the integal-

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Q: Find the open intervals where the function is concave upward or concave downward. Find any…

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Q: Ax) = - х — 6 3 X + 2x - х — 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Sonya and Isaac are in motorboats located at the center of a lake. At time t = 0, Sonya begins…

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Q: f (x,y) = x^2y - 2x^2 -4y^2 +66. Find all critical points of f. For each critical point, determine…

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Q: Given: dx a) Find the general solution to the differential equation: b) Find the particular solution…

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Q: f(x) = 5x4 − 2x5,    F(0) = 8 Find the antiderivative F of f that satisfies the given condition.…

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Q: Find the limit of the V4n +9 sequence lim Show your work. n- 00 9 n+4 Determine whether the (- 1)…

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Q: 3 5. Sesx )dx e3x.

A: Solving the problem by finding the values of the integration.

Q: Find the area of the region bounded by the given curves (a) using integration with respect to x and…

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Q: snow

A: Let's set up some notation for the problem ,  t = time measured  x(t) = distance the snowplow has…

Q: Let F(x) = f(f(xæ)) and G(x) = (F(x))² . You also know that f(9) = 3, f(3) = 2, f'(3) = 5, f'(9) =…

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Q: x² +1 4. хе'dy+ +In |x=c Separate the variables and ans: e'(y-1)+ y 5. 2xy dy 1 dx y? = x? +c 3…

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Q: 8. Evaluate the integral by using trigonometric substitution 2 dx V4x – x2

A: We have to find the indefinite integral.

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z2 (3,…

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Q: Find the integral (o (b+1)x*2 +(c+1))(x*** +(-1)"(a+2)) dx . b+2c+1 Vx°

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Q: Queslfon (2): sKetch and find Range.- ) fow= (x +2 -4 2) fra)= 4- Vx-5 7) fox)= -Ix +3| +5 り frye…

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Q: f(x) = x – cos(x) Solve this question by the Newton-Raphson method

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Q: f(x) = 3 log(x) f(x) = 3 log(x) 1 103 1 102 1 10 1 10 102 y y 4 40 60 80 100 20 40 60 80 -2 -4 -4 y…

A: Given query is to sketch the graph.

Q: 1 |sin xdx ーπ 3 sin xdx 5 S sin xdx

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Q: 1 Use the transformation u = 4x+y, v=x+2y to evaluate the given integral for the region R bounded by…

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Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

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Q: iven the graph of f below, find the value of + 4x + 3] dx. 4↑ f(x) 3 1 -4 -3 -2 -1 1 3 4 -D1 -2 -3

A: Given query is to find the value of the integral.

Q: 3. Find the area bounded on the right by x+y=2, and on the left by y=x and below by x-axis.

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Given query is to find inflection point and interval where concave up and down.

Q: 10. For the function f(x) = -2· ex + 6, find the domain, range, and equation of the asymptote.

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