O. p. S sin 2x cos 3x dx 3dx /1 + 9x²

Q: What does the following equation represent in R3 -7x+ 5y = 0 O Line O None of the others O Plane O…

A: Given equation represent 3 Dimensions or R^3

Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. 3…

A: Given: Rate of inflow of water, dVdt=2 m3/min Height, h= 3m Radius, r=2m

Q: Find the volume, in cubic units, generated by revolving about the x-axis the area bounded by the…

A: Solution is given below:

Q: Compute the definite integral π/4 0 5 sin² (3x) dx

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Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

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Q: (i) Determine if the following functions are even, odd, or neither. Show your algebraic…

A: as per our guidelines we can answer only one question hence i am answering question a.), thank you…

Q: Question 2 [ Given the equation -5x² + 30x - 5y² - 10y - 5z² - 90z = 21 a) Show that the given…

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Q: 7. Given A(3,1,0), B(1,0,2) and C(5,2,−2) determine the following: a. AB b. AC- c. Are points A, B,…

A: The objective of the question is determine the distance and check the collinearity of points.

Q: 1. A line passes through the points A (7,-4) & B (-5, -2). Find a vector equation of the line. [x.y]…

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Q: Find the exact value. In 3 0 ³ sech 4 x tanh x dx

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Q: Find the general solution of the following DE. y' = 3 (y + 1) O y = 3ce³x - 1 Oy = ce³x - 1 Oy =…

A: y' = 3(y+1) dy/dx = 3(y+1) dy/3(y+1) = dx dy/(y+1) = 3dx now apply both side integration

Q: 6) Find the value of cot t if cos t = a) O b) O c) O 2 d) 0 1 Previous Page 6 of 8 Next -and T < t <…

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Q: The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving…

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Q: Q ssosiee ※ dy nolaeV DOY MEMedua s x24

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Q: 11) S₁0 x ³ lnx dx

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Q: Find the following limits for the piecewise function: f(x) = { x + 1, +5, a) lim f(x) - x-3 b) lim…

A: (a) Given that, the function is fx=x+1                x≤2x+5          2&lt; x≤4. Obtain the value of…

Q: Cursive

A: Please refer to the image below

Q: 1. Find (A-1 B-1), If 0 -2 1 A = [] and B = [ [²4] 0

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Q: Applied Calculus Class: Please see the complet review example for reference. and solve the given…

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Q: T₁ 0 1+e²x dx Hint: e²* = (e*)²

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Q: Let R be the region bounded by a = y² and x = y + 2. Find the volume of the solid generated when R…

A: The given curves are: x=y2and x=y+2 Now find the point of intersection between the given curves.…

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay 10 9 8- 7 6 LO 5- 4 3- S…

A: Here we will find the slope,

Q: Q5: Solve the equation by Grammars rule: 2x + 3y - 4z = -3x+2y + 3 = 3 . 3x-y-z = 6

A: Calculating determinant of a matrix is the key requirement for this problem.

Q: The Newton forward-difference formula is used to approximate f (0.3) given the following data. 0.0…

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Q: 1.Given : Parabola with F: (4, -3) and Directrix : Required: a. Equation in standard form y = 5 b.…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 39. A. A conical-shaped reservoir has a depth of 20 feet and a radius of 10 feet. Water is leaking…

A: This question is based on similar triangles postulate and derivatives.

Q: \(\) The point (5, -1, -7) is not the center of the sphere represented by the equation x² + 10x + y²…

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Q: Using the Simpson's rule, the approximated value for the integral: f, dx, is equal to -3 O O O O O 0…

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Q: Use the formula for the binomial series: to obtain the Maclaurin series for V1 + x. Ο 1- O Ο 00 1 +…

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Q: Consider the set S of primes less than 15. List the set S . (Input this as a list with no spaces,…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of…

Q: Sx³sin (x²) dx

A: Let's solve given integration.

Q: For the initial-value problem: y = 1+2, 1st≤ 2, y(1) = 2, h = 0.25, the mesh points (t) can be…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: A former plans to enclose a rectangular pasture adjacent to a river. To provide enough grass for the…

A: In this question we have to find the dimension which use the least amount of fencing.

Q: solve the system of equations by Grammer Method. 3x₁ −2x₂ + 4x3 = 19 x₁ +5x₂ −x3 = -12 2 x₁ + 2x₂ +…

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Q: x³x² j - 7x + 13 x² - x - 6 -d.x

A: To evaluate the integral.

Q: A lamp shade is in the form of a frustum of a cone with slant height 7 in., radii of base 3 in. and…

A: The curved surface area of the frustum is given by:                   Given: r = 3 in. R = 7 in. l…

Q: QUESTION 8 Write the given iterated integral as an iterated integral with the order of integration…

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Q: * The Simpson's Rule gives the exact result when applied to any polynomial .of degree-➖➖➖➖➖➖➖or less…

A: Simpson's Rule: It is a numerical method for approximating the integral of a function between two…

Q: For the function f(x) = 7x³ - 2x² + 2x +9, find f''(x). Then find f''(0) and f''(9). f'(x) = Select…

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Q: 2. Application of Double-angle Formula (a) sec 8= 12, QIV, find sin 20, cos 20 and tan 20 (b)…

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Q: Find the volume, in cubic units, generated by revolving about the x-axis the area bounded by the…

A: Let's find volume of solid.

Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: B: Find the Cartesian coordinates for the point (6,7) in polar coordinate

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Q: S x² + x x³ − x² + x - 1 - dx

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Q: f(x) below, what is the open interval(s) over which f'(x) is negative? 6 5 4 3 2 1 1 -2 -6-5-4-3-2-1…

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Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

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Q: Compute the double integral ff(6zy2 +12z³y + 4y) dx dy with R= 3,5 z [1,2].

A: See this solution in below.

Q: 63. 100% los telborey adi The graph of g consists of a semicircle and two line segments for -4 ≤ x ≤…

A: To find the area between the given curves.

Q: s sin xv9+ cos2 xda xdæ

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Q: 3. Evaluate the definite integral (a) (b) (c) (d) 256 15 15 256 Cr 62 f(x+ (x+2)√x+1 dx.

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