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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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

Q: 2 Evaluate r sin rdr using integration by parts.

A: Given∫ xsinxdx

Q: Evaluate the following integrals: dx dx a. S b. f √81+16x² √16x²-9 C. S dx 49-4x²

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Q: y = x² and x² = y

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Q: What is the vector that results from transforming a by the transformation matrix? 5 ā= [ and B= -3…

A: The transformed vector can be obtained by multiplying matrix B with a→.

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A: The given equation of the parabola is: cx=7-x2 Now find the x-intercept of the given parabola.…

Q: 5) Calculate the area in square units, bounded by g(x)= 4x+8_and_f(x)=x² +19x+62 over the interval…

A: NOTE: Refresh your page if you can't see any equations. . here we have  and the interval is  so…

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A: We have to solve the problem using Euler's method.

Q: 2. Find the Maclaurin series of f(x) = tanh

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 5. 6. (log4(x²) dx x (log4 x)² ORA dx

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Q: x 0/x 6+29r² SS S 0 0 0 Evaluate the cylindrical coordinate integral The value is 247 960 (Type an…

A: This question can be solved using the concept of triple integrals.

Q: Given plane z: 3x+2y+=-3=0, point P(1, -2, 3), and lines 1₁:¹¹ and 4₂: (3, 6,-5)+r(2, 3, 1), find:…

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Q: dy dx +y = 0 y(0) = 1 Using Power Series, solve for y(x) at x₁ = 0 Using First Order Runge-Kutta…

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Q: ● -5 13 10 5 Enable Zoom/Pan x -10 10 5 Keyboard cting a radio button will replace the entered…

A: We will solve the limit.

Q: h(x) h'(-6)= = f(x) g(x) based

A: Given;  h(x)=f(x)/g(x).

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Q: 1. Given f(x)=x+5 and g(x)=x²+8x+15 Sketch the graph of y=- _f(x) g(x) Mark the asymptote(s),…

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Q: Find the particular solution using the initial condition. y' sin(2y) - cos x = 0, y ( ) = 0 O y =…

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Q: Determine the number/s at which the function F(x)=√√4x² is continuous.

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the intervals where…

Q: Consider the vector-valued function R(t) = {{ (a) Find the domain of R. (b) Show that is continuous…

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Q: a) pair (4,-6) & (-6,9) b) pair (2,-3,1) & (4,-6,3) c) pair (6,-5,1) & (3,4,2)

A: To determine whether the following pairs of vectors are parallel, perpendicular or neither. a pair…

Q: Let g(x)= log4 (13-5x). State the domain of g using set or interval notation. . State the range of g…

A: g(x)=log413-5x Given function g is unbounded when 13-5x=0⇒x=135 The equation of the vertical…

Q: In AGHI, h = 9.6 cm, g = 9.3 cm and /G=109°. Find all possible values of ZH, to the nearest 10th of…

A: We have to find the angle

Q: Let the vector v have an initial point at (−1, 1) and a terminal point at (5, –5). Plot he vector v…

A: We have to find the component, magnitude and direction of given vector.

Q: Question Integrate (three) of the following integrals: 1) f sin6x cos3x dx 2) f x√√x + 1 dx cos2x…

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Q: Question 16 Find e > 0 such that the area of the region enclosed by the parabolas y = 2²-² and…

A: Given problem:- Find c> 0 such that the area of the region enclosed by the parabolas y = c2 -x2…

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A: marginal average cost

Q: Suppose that f(4) = 2 and f' (4) = -1. (a) h(x) = (2x². 2x² + 31n (f(x)) h'(4) = (b) h(x) = 20f(x)…

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Q: 1. Find the value of (0) for a solution (x) to the initial value problem: 6y"+y' - 2y = 0; y(1) = 2,…

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Q: Given the function f(x) graphed above, find f^-1 (5)

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the point…

Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

A: Topic = Area

Q: he sum of one number and four times the second is 24. Their product ust be as large as possible.…

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Q: Ju udv = Uv -Ivdu to Explain why the substitutions below are inappropriate. Let du: = x dx 1.…

A: We can explain why the substitution is inappropriate in the following steps.

Q: Let the closed interval [a, b] be the domain of function f. The domain of f(x - 3) is given by (A)…

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Q: Let D be the region enclosed by y = sin(x), y = cos(x), x = 0 and = . The volume of the solid formed…

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Q: sider the function p 3 of 3: Find lim f(x). x--6 f(x) = = lim f(x) x--6 Sx² + 12x + 22 19x + 100 if…

A: Topic:- limit and continuity

Q: A. By power series, prove that: d 4 sinhx dx sinhx = coshx

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Q: Determine whether the function is a probability density function over the given interval. 35)…

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Q: your cimal places. Radioactive substance X starts with a mass of 20 g. The half-life of the…

A: Given problem:- Radioactive substance X starts with a mass of 20 g. The half-life of the substance…

Q: Let the vector v have an initial point at (2, −8) and a terminal point at (−1, −8). Determine the…

A: Let the vector v have an initial point at 2, -8 and a terminal point at -1, -8.To determine the…

Q: 2. Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1. x--4 (a) lim f(x)g(x) x-4 (b) lim…

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Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Follow the procedure given below.

Q: Suppose 8 3n f(x) = n! (x - 7) n n=0 7 To determine So f(x) dx to within 0.0001, it will be…

A: We have to find the value of integral.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(In(5t)) dt t

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Q: If y(v) = 10 COS 79 72 dr then

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Q: D is the region enclosed by the parabolas z = y²-9 and 2 - y² +9.

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Q: x+1 2-1 24 - 1 Evaluate the given limit of lim O-1 01/1 0 -¹ O Olimit does not exist if it exists.

A: Solved below...