5. show that the equaution sin X-3x+1=0 has only one real root

Q: The integral of the given function csc °x dx is equal to 3cos x-10stn²x cos>x-15sin"xcosx + C…

A: I=∫ csc6x dx =∫ (cot2x+1)2 csc2x dxu=cot xdu=-csc2x dx=∫ -(u2+1)2 du      =∫(-u4-2u2-1) du…

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A: We will find if this is exponential.

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Q: 4. 3 + 5 + 7 + · · · + (2n + 1) = n(n + 2) ...

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Q: results when the region in the first quadrant bounded by the curve x2 + y2 = 82 from x = 3.4 to x =…

A: To find surface area.

Q: (c) (i) Solve the linear equation: 2(3 - x) = 3(x + 5) Expand (x + 4)(x- 5) and use this answer to…

A: Part c is solved.

Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. [(y+e*…

A: Green's theorem

Q: Yz01003 b00 Cos07+3 2. 7) 300 Sing Y=0.002 Ysine dr do dø

A: A detailed solution is given below

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Q: Find the area of f(x) = 3 +2x – x² above the x-axis.

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: 2. In the expansion of (2x + 3y)(4y – 3x) the xy term is : А. — ху В. + xy С. 8ху D. -9ху

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: Given query is to find the maximum profit.

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Q: 16. Given: f(x) = (x+2)² ’ (x+2)' (x+2)* x-intercept(s) y-intercept Vertical Asymptote(s) Other…

A: Solution is here

Q: Determine the following Laplace transforms: (i) mathcal L \ cos^ 2 3t\ .

A: Given

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A: Topic:- calculus

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A: Solution of given question is written in below steps.

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: Find the antiderivative of f(x) = 2 csc2 a given that f () = 1. 4.

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Q: y8. |cosx-sinx|dx 16. J-

A: To integrate.

Q: 8. If V represents the volume of an object, what does AP represent? - dt

A: dydx-Represent the Rate of change of 'y' with respect to 'x'. Here, 'y' is dependent variable and…

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A: Find your answer below

Q: 4), (-5, -7/4) 1) Yes 2) No

A:

Q: Use Green's Theorem to evaluate the line integral (y – x) dx + (2x – y) dy for the given path. = x²…

A: Green's Theorem: By Green's Theorem we have for a differentiable function f(x,y)=M(x,y)+N(x,y) and a…

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise. O…

A: Using greens theorem

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A: Steps to find the absolute maximum and minimum of a function f(x) on [a,b].  : Find the critical…

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A: Solution is done in step 2

Q: Use Green's Theorem to find the work done by the force field F(x, y) Vyi + Væj on a particle that…

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Q: Consider the double integral XY dA Vx2 + y² I where R is the region of the XY plane, given in the…

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Q: Evaluate using Integration by Parts. (Use symbolic notation and fractions where needed.) хебх+4…

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Q: A. (2x +x+3 dx

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Q: 8 Evaluate for (3x² -7x+4

A: We have to use the concept of derivatives

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Q: Let y = tan(4x + 4). Find the differential dy when x = 4 and dæ 0.2 Find the differential dy when x…

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Q: : Triangle with points P(1,-1,2), Q(2,0,-1) and R(0,2,1), find: 1. Area of the triangle. 2. a unit…

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Q: The first step in solving the integral of tan(x)dx/[1-(tanx)^2] is by transforming the tan(x) In the…

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Q: 3 (2). Consider the solid Q bounded by the surface of the equation y =x² + z? and the planes, zV3 =…

A: Here's the solution... please have a look at it.. Answer: option C

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Q: x dx 2 /9 – 4x²

A: Using integration

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Q: CAn you give an example with Taylor series approximatio

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Q: Q8. Identify the function, whose derivative is defined below: (x + h)2 – x? dy - lim dx h→0 h A.…

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Q: A region Rxy, in the XY plane, is shown below: A) 1- JJRa 2r + 3y – 6 = 0 2r +3y+1 0 Rry %3D…

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Q: A 15-kg quantity of a radioactive isotope decays to 7 kg after 11 years. Find the decay constant of…

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