3. Determine the balance A for $7,000 invested at a rate of 4.5% for 20 years, compounded a. Monthly b. Continuously

Q: Find the solution of the differential equation dy x+y=x²y² dx

A:

Q: 2) Eliminate the arbitrary enstant, 4 y= x*+ Cix + Cz e-X

A: Given problem:- Eliminate the arbitrary constants. of y= x² + C₁x + C₂ e-x

Q: 1. The figure shows the graph of a function f (x) with domain 0 < x < 3. Which of the following…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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A:

Q: 6. lim f(x) = +o, lim f(x) = 0 x-1+ x-1- and f(-1) = -1

A: discontinuity

Q: Find the volume oF the solid obtained by rotating about the x- axis oF the region bounded by y= *,…

A: A detailed solution is given below.

Q: dr Find de r= 3 sec 0 csc0

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Q: 8/16/22, 140 PM The Sine & Cosine Laws State whether the given measurements determine zero, one, or…

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Q: 8x? -x t 8 x (x² + 4) 9. b.4mx4 3m (x+4-ラ4an)tc c. qlnxf 6m (x"+4)-Arctan )t c d. 2mxt 6m Ge?+4) -…

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Q: 12. Find the maximum and minimum values of each function. Graph each function. а. у %3D е* + 2 b. у…

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Q: Test the given geometric series for convergence or divergence. If it converges, find its sum. 4 16…

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Q: 6. Evaluate the integral /: a sec (x²) tan(x²)d.x. sec*(x²) tan(x²)d.x. sec (x²) tan(x²) (a) + C 6.…

A:

Q: In Problems 19-36 use Theorem 7.1.1 to find L{f(1)}. 19. f) = 21* 20. f(1) = r° 21. f(1) = 41 - 10…

A: Laplace transform

Q: f'(x) =-+e²* +x²and f(1)=. Find f(x) Given

A: Here, given that: f'(x)=1x+e2x+x3⇒f(x)=∫1x+e2x+x3dx+C⇒f(x)=∫1xdx+∫e2xdx+∫x3dx+C⇒f(x)=ln…

Q: A. For each of the following functions z, find and dx ду 1. z= sin3x cos4y 2. z = tan- 1 (2) 3. yz +…

A: 1). Given: z=sin3xcos4y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x…

Q: əz az A. For each of the following functions z, find - and дх ду 1. z= sin3x cos4y 2. z = tan-1 (2)…

A:

Q: a²z For each of the following functions z, find a²z a²z and ду? дх2 дудх' дхду 2. z= sin3x cos4y

A:

Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

A: Parametric equation of line passing through a point x0,y0,z0 in the direction of N=a,b,c is…

Q: Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using…

A: The area of a quadrilateral triangle is: A=34x2 where x=side length =3 cm So, A=34(3)2=934cm2

Q: 1. Evaluate the integral (22 4т + 4)4/3 da. 3 (a) 1(x+2)1/3 +C 11 (b) (r+2)1/3 + C 3 3 (c) 교 -(x-…

A:

Q: For numbers 12 14. A parabola defined by the equation x+3 = (y + 2) is translated 4 units down and 3…

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Q: Use Method of Variation of Parameters: [D² - 8D + 16]y = e4Xsec2x %3D

A:

Q: 27. Find the magnitude of the resulting force. Round to the nearest Newton. B: 11.1 N, 111° A: 10.0…

A: Solution: Given

Q: Evaluate the following integrals using Trigonometric Substitution: x-1- 16x dx x 2. dx 9 dx 25t2 - 1…

A:

Q: Use (a) bisection method and (b) false position method to find the solution to the following within…

A: Note: There are multiple questions. Few questions has multiple subparts.No specific question has…

Q: Si cos3x cos4x dx 2 TT 6

A:

Q: 2. Consider the function 2r2-9r-18 f(r) r2-r-2 (a) Sketch the curve y f(r). (b) Find the area of the…

A: Let's find.

Q: seconds. a) Determine the maximum height and when it is reached, rounded to the nearest tenth. b)…

A:

Q: Evaluate the guen -x>·dR,where conGists of the upper past F the cuafe x ty"=1 from "(-1,0) parabala.…

A:

Q: x-6 Let f(x) = Use the properties of limits to find the indicated limits, if they exist. x -6x (A)…

A: Given: f(x)=x-6x2-6x

Q: Decide from the graph whether a limit exists If a limit exists, find its value. lim F(x) X→1 What is…

A:

Q: Change the following polar equations to rec 6. 12. r = 4-cose

A:

Q: 13. Use a polar integral to find the area of the region defined by - Cos 0 KA<T

A:

Q: 2. For the parametric equation shown below, determine the value of (dyldx) and (d²y/dx?). x = 3t? –…

A: To find dydx&amp; d2ydx2 using the given parametric equations.

Q: Analysis 3: Based on the design of the antennas, the Standard Absorption Rate (SAR) of RF power by…

A: Concept: The Trapezoidal Rule: Consider the continuous function f(x) on the interval [a, b]. Divide…

Q: Let A = (1,0, 1) and B = (0, 1, 3). Solve for projaB. %3D

A: This question is based on vector projection.

Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

A:

Q: f'(x)= -+e²* +x°and f (1) = Find f(x) Given 5.

A:

Q: x'+8 The function f(x)=. has derivatives f'(x)-X-16 48 and f"(x)= (a) Determine the x- and…

A: As per guidelines of Bartleby I am supposed to answer only first three parts of this question. If…

Q: / Find the equation of the tangent through the Point P(I,4) with the angle of in Clination 8 = 60…

A: Given Point P(1,4) &amp; inclination θ=60To find equation of tangent:

Q: Always remember the Antiderivatives of Trigonometric Functions. a. J sin x dx =– cos x + C d. S csc²…

A: Note:-  These are multiple sub parts question and according to company guidelinde we can do maximum…

Q: Find the area of the region which is inside the circle r = 2 and outside the cardioid r = 2(1-cos+).…

A: Given

Q: In n Consider the series Verify that the hypotheses of the Integral Test hold, and n2 n=1 use the…

A:

Q: Determine the antiderivatives of the following functions: 1. V36-x² dx 2. 9x²+36dx

A:

Q: Given the geometric sequence 33, 44/5, 176/75 find an explicit formula for an and find a12 please…

A: Given GP is 33,44/5,176/75 We have to find the explicit formula for an and then have to find a12.

Q: 2. Let A = (1,0, 1) and B = (0, 1, 3). Solve for projaB.

A: ProjBA=B⇀.A⇀A⇀

Q: ven the function f(x) = -x* – 4x termine its critical points and assify then, determine the point(s)…

A: Topic:- calculus

Q: mine the value(s) of x where the slope of the tangent line is horizontal. Use exact valı…

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Q: (x)soɔ xp (x)us 19. Find

A: Given problem:-

Q: Evaluate the integral. 1/2 | [6 cos ti-3 sin tj+ sin 3t k] dt 1/2 | (6 cos ti- 3 sin tj+ sin? 3t k]…

A: