Find an equation ( in point - nomal form) of the plane containing the point (1.-3, 5) and the line symmetric equotions 2-X = 3

Q: The function f(t)=460(0.2)^{t} represents the change in a quantity over t months. What does the…

A: The function ft=4600.2t represents the change in a quantity over 't' months. To determine what does…

Q: The following power series represent the function f(x) = 6. %3D 1+7x* E 6(-7)"x+". 4n n=0 Select…

A: Topic:  Infinite geometric series The sum of the series ∑n=0inf rn = 11-r

Q: sint+ cos i+ cost- sint i+ cost- sint 1 i, and K= cost- sint For the space curve below, T = ,N =…

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Q: 2. y =,x = 1, x = 4, and y O is revolved about the y – axis. (Answer: 247 c. u. )

A: Given: y=4x, x=1, x=0 and y=0   The bounded region is as shown below.     Apply the cylindrical…

Q: Зx2+2 dx 0 2x²+4x+3

A: Adjust the numerator to get the known integral form.I have add and subtract the same value to get…

Q: Find the plane determined by the intersecting lines.

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Q: 11. Write true if the statement is correct and false if the statement is incorrect. Given the…

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Q: L Find the point/s of intersection of each of the following figures given below, draw the element…

A: The region is bounded by the curve y=x2+2 from x=0 to x=2

Q: 3. y? = -x ,x² + 3y + 4x + 6 = 0

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Q: FIND THE DIVERGENCE AND CURL OF U = i (x 2+ yz)+j Cy?+Zx) t K (z?+xy] %3D

A: Given :u=i x2+yz+jy2+zx+kz2+xy.We need to find the divergence and curl of u.

Q: INO Practice Exercises: Find the volume of the solid generated when the plane region bounded by axis…

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Q: Find the volUme OF the solid obtained by rotating about the y-axis the region boUnded by y= x° the…

A: Follow the procedure given below.

Q: Q2 ) Use the Simpson's rule with (n = 4) to estimate thef²n sinx dx . 2

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Q: O Solve the DE: - sin dy y + dx

A: We have to solve the given D. E.

Q: Find dy/dx if y = log10(x² + 1)² D. dy/dx = log1o e (x² + A. dy/dx = 4x(x² + 1) 2x log10 e В. dy/dx…

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Q: Use the tabular method to evaluate the integral fa (x³ + 2x-1) cos(4x)dx COS

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Q: 135 2. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: s. u.) 4

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Q: 27T 5. = y² and x + y = 2 is revolved about y = 1. (Answer: c. u.)

A: Solution is given below:

Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

A: A detailed solution is given below.

Q: [[ 31? dA; R is bounded by y = 0, y = 2x + 4, and y =

A: Given problem:- Sketch the regions of integration and evaluate the following integrals. ∫R∫ 3x2dA ,…

Q: Find the vector and parametric equations for the line through the point P(-2, 4, -3) and parallel to…

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Q: 1.1 1) lim (2) x3+8 X→-2

A: Given query is to find the limit nofnthe expression

Q: Maximum Volume Consider the following solids, each of which has a surface area of 150 square inches.…

A: Solution is given below:

Q: dx 1 1+3x2 V3x 9. 6. Option 1 Option 2 2v37 V3x 3. Option 3 Option 4

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Q: Evaluate the following indefinite integral. dx dx = (Type an exact answer.)

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Q: Which of the following is TRUE about logarithms and logarithmic functions? i. The argument…

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Q: y=4x-x², y=x

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Q: x - 2x +4x–8 Draw a graph of the function R(x) = Justify all major features using limits. x -11x+18

A: To solve the following problem

Q: 5. Find the first six terms of the sequence in which the eighth term is 72 and twelfth term is 96.

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

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Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

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Q: Evaluate the integral: So (re ) dt Express your answer in decimal. Round off to 2 decimal places.

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Q: If a vector v lies in the third quadrant and makes an angle n with the positivex - axis and…

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Q: An open-top rectangular box is being constructed to hold a volume of 150 in?. The base of the box is…

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Q: Find an equation of the tangent line to the curve y = x - 3x + 5x that has the least slope.

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Q: Sketch the region enclosed by 2y = 5/a, y = 4, and 2y + 2æ = 7. Decide whether to integrate with…

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Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral…

A: Given problem:-

Q: #3) Rewrite the integral 27 .2 p dr d0 0. in rectangular coordinates.

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Q: b) Let G be a group of order 2p, where p is prime number. Prove that every proper subgroup of G is…

A: Given

Q: he velocity vector? Di+O i+O k

A: Topic:- application of derivatives

Q: II. Find the area bounded by each of the following curves. Show your complete solution. Write your…

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Q: du Identify u and dx for the integral /u( dx. | (8 - 5x?)*(-10x) dx u = du dx

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Q: Problem 7 Find the horizontal and vertical asymptotes of the function y = f(x) and use limits to…

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Q: solve

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Q: -2 Evaluate dx ех

A: The objective of the question is evaluate the definite integral.

Q: Sketch the integration region of the following integration aud evaluate the integral (xソー2xり)dy dx…

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Q: Find the equation of a plane that is perpendicular to the vector – i+ 2j+ 2k and passing through the…

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Q: Evaluate the integral: - *Input answer as decimal round-off to 2 decimal places.

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Q: Evaluate the following integral. Expand the integrand and write the resulting integral. | dx (Type…

A: Given:         ∫6x2x2+9dx   Expand the integrand.      =∫6x2·x2+6x2·9dx         =∫6x4+54x2dx

Q: se implicit differentiation to find hp without first solving for y. dæ æª + 3æ°y + y² = 15 ,10, dy…

A: Given query is to find the derivative and equation of tangent.