Find cos(2A), if sin(A) = 45 53' and A is in quadrant 3.

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy² = 2y + 1,…

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Q: If f(x) = (a) f(0) = (b) f(1) = (c) f(4)= (d) f(5)= 3x 4 if -3≤x≤4 x³-4 if 4<x≤5 , find: (a) f(0),…

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Q: Find an explicit solution of the given initial-value problem. dx = = 6(x² +1), x(1) = = 1 dt x = tan…

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Q: Given the initial condition y(0) = 1, find the particular solution of the equation yy' - 6x = 0

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Q: For numbers 21-23, consider g(x) = 5x² - 2√x³ 21. Which of the following shows the domain of g(x)?…

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Q: The inverse forms of the results in Problem 49 in Exercises 7.1 are et cos bt x^{(5-507² +6²) and b…

A: We need to solve D.E.

Q: Find a geometric power series for the function, centered at 0. 4 3 + x 20 n = 0 h(x) = X

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Q: 19. I. lim g(x) = 5. z-6 II. g(6) = 5. 20. I. g is continuous at x = 6. II. g has a removable…

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Q: 9. Use the Limit Comparison Test to determine convergence or divergence. a. 00 1 k=1 √k³ -k+1

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

Q: Evaluate F-dr where C is represented by r(t). C F(x, y)=xyi+yj C: r(t)=28ti+tj, 0≤t≤7

A: To find ∫CF·dr

Q: Compute the Jacobian for the substitutions = psin o cos 0, y = p sin osin 6, z = p cos p.

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Q: Find out how much a retirement account based on a principal of $100509 compounded 5% quarterly after…

A: Topic = Algebra

Q: Find the area of the region enclosed by the graphs of y = 8 − 3x, y = 6 − x, and y = 1. (Use…

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Q: For items 1 to 10, determine 1. y = 3x³ + 2x - 5 (A) 9x² + 2 1 √x 1 2√√x 3. y = e-sinz 2. y=-- (A)…

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Q: Question 4 Which statement below is the equivalent rewrite of logg 216 = 3?

A: Question no. 4,Given,           log6216=3

Q: a В b C A

A: Given:  a=9 and b=4 To find:

Q: Decide whether the relation defines a function. {(-8, 2), (-8, 8), (1, -9), (6, 3), (7,5)} Not a…

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Q: sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: NOTE: Refresh your page if you can't see any equations. . ................upper and lower limits…

Q: 3. What is the form of y, given (D² +9)y = cos3x Asinx + Bcosx Asin3x + Bcos3x A. Yp B. Yp C. D. Yp…

A: According to our guideline we are supposed to answer only the first question if you want any…

Q: Consider the graph of g (x) = 2*-¹ + 4. How is g(x) related to the base graph of f(x) = 2*? Select…

A: The graph of the function gx=2x-1+4 related to the base graph fx=2x

Q: If a reflection is performed on the graph of y y = 3+1 and the equation x-1, the reflection was…

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Q: (15) Complete the table: fcf(x) dx S[f(x) + g(x)]dx f[f(x) = g(x)]dx fkdx fx" dx f sin(x) dx f…

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Q: Rewrite the following equation with the variables separated: y' + 6x sin(y) = 5 sin(y). dy 5-6x dy…

A: The objective is to find the correct option.

Q: If sin a = 0.784 and sin 8 = 0.577 with both angles' terminal rays in Quadrant-I, find the…

A: sinα = 0.784 sinβ = 0.577 sin(β+α ) = sinαcosβ + cosαsinβ cos(α-β) = cosαcosβ + sinαsinβ  use this…

Q: Solve the following differential equation y′′−y = ex by the method of variation of parameters.

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Q: 9. Use the Limit Comparison Test to determine convergence or divergence. a. b. 1 k=1 √k³ -k+1 5n…

A: The given series a) ∑k=1∞1k3-k+1b) ∑n=1∞5nn3+1

Q: What is the average value of f(x) between x = 1 and x = 5 forf (x) = 2* ? 32

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Q: (1) Theorem: The area A of the region bounded by the curves y = f(x), y = g(x), and the lines x = a,…

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Q: x²-9 2 lim x 3 x 3

A: The given limit is limx→3x2-9x-3

Q: Problem 2: The point P(0.5, 0) lies on the curve y = cos T.I. (a) If Q is the point (r, cos .r),…

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Q: The notation {an} represents a sequence of an infinite number of terms. O True False

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Q: The sequence {2} is defined by letting a₁ = 2 and successive terms are given by the recurrence…

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Q: Given A B C D E 5.00 1 ∞ 1 - dx, determine all value/values ofp for which the improper integral…

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Q: Which of the following formulas would be used to calculate the trapezoid approximation of 0.2 3 0 T₁…

A: Here we using trapezoidal rule.

Q: Rewrite the following equation with the variables separated: y dy cos y dy dx = dy cos y o dy = 1 =…

A: We have to find out solutions

Q: In (x) Find the area of the region enclosed by the graphs of y = 2x (Use symbolic notation and…

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Q: Rewrite F(x) as F(u) using a substitution of variables. F(x) = f (2x + 5) sin (x² + 5x) dx o F(u) =…

A: We can find the correct option as below.

Q: VA Find the equation of the curve that passes through the point (1, 0) and has a slope of O = y = y…

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Q: K Use properties of power series, substitution, and factoring of constants to find the first four…

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Q: 7. 8. I. lim f(x) = -0. 8118 II. lim f(x) = ∞0. 818 I. f is continuous at x = 2. II. f is continuous…

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Q: Set up, but do not evaluate, the triple integrals needed to find the center of mass of the region in…

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Q: 12

A: Topic - gradient of a vector

Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

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Q: sin () = √3- sin(). The Solution set is 3 21 A 5 31 3 3 {##) (1 O{#, *}

A: topic - solution of trigonometric equations

Q: (10) Find the volume of a solid S where the base of S is the region enclosed by the parabola y = 1x²…

A: Solution:            lets take the integral over the y axis. We will notice that y=1-x2 is an upside…

Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hôpital's Rule.  lim x→0…

A: Evaluate the limit

Q: (1) Find the area of the region bounded by the curves and draw an illustration y = x² and y = 6x-x².

A: The region bounded by the curves y=x2 and y=6x-x2 Note:    Multiple questions are given we are…

Q: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its volume if…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Use an identity to write the expression as a single trigonometric function or as a single number. 2…

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