S x² √x²+4 dx

Q: 15. Which of the following is equivalent to the triple integral dz dydx in the order dydzdx? 32 31…

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Q: Find the volume of the solid obtained by rotating the region B about the line y = -1. A B

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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: If g(10) = 6, g' (10) = 1, g" (10) = -6 andg" (10) = 4.8, then g(10.4) O...5.9904 O...6.2182 4…

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Q: First find the equation of a plane through the point (4, 2, 1) with normal vector = 3i - 2j+ 4k.…

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Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Using shell method, volume is evaluated.

Q: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

Q: Find the derivative of y= 25 + 14.

A: Topic = Derivative

Q: to evaluate the following: f(t³-4t² + 5t+ 32) sin(t)dt (B) Use Tabular integration

A: Given integral is :

Q: Find the tangent line approximation for √1+ x near x = 5. y = ||

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Q: a) dy dx xe ex²+ y(0)=1

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Q: Using the matrices -2 -3 0 D = 1 0 2 1 2 1 compute the following. tr(2E¹-D) = -3 -4 -1 E = tr(2ET -…

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Q: 5. y"+y= secx tan x

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Q: Consider the triple integral fff (x + y + z)dv E where E is the solid enclosed by the cylinder x² +…

A: Given

Q: Find the derivative of the following function. -9e 5x y= 4x + 3 y'(x) =

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Q: What is the coefficient of the second term in a binomial that is raised to the sixth power?

A: Given.

Q: fferential Equations: Growth and Decay Answer the given problem. Show your solution completely with…

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Q: 1. (3x - 2y + 1) dx + (3x - 2y + 3) dy = 0.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: The arc length of y=In(cos x), 0<x<• is 3 ○A In (√2-1) A. ○ B. In (1+√3) C. In (2+√√3) D. In…

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Q: Determine the domain and range of function f(x) = elnñ — arcsin (1²²)

A: This question can be solved using the concept of domain and range of inverse trigonometric…

Q: Problem 1: A force of 500 dynes stretches a spring from its natural length of 20 cm to a length of…

A: Concept: Work done by integration: W=∫x=abf(x)dx Where W represents work Force is represented as a…

Q: 1.₁-1/dt 2. -1 -2es-1ds

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Q: 1 1-25t² dt

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Q: 3. +ANIA (3x - 1/2 + sin x) dx

A: As you mentioned question no. 3 solved

Q: 4. f 30x²5x³+3 dx e

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Q: 1. S √x dx VX +1

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Q: Q2: (A) Show that if y=csc(u), then dy du -csc(u) cot(u) dx dx

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Q: The sum of two positive real numbers x and y is 12. Find an x and y among these such that the…

A: The sum of two positive real numbers x and y is 12.

Q: Applications

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Q: Angle ABC is: 1- Obtuse if and only if its complement is right 2- Obtuse if and only if its…

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Q: Q16) Find the value for a,b. it f(x)= ax +4x²+bx has stationary point at x1, and inflection point at…

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Q: (B): Find the integration by using substitution method fx √2x-1 dx

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Q: 1 (2m-3)√4m (m-3) dm ans=1 arcsec( ² m - 1) + C

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Q: Please explain this process: 49 7.760 Σ 7+1 10⁰ 49 = 3 1-7 3 10 ↑ n= P 16.33

A: Using geometry series

Q: -. Find the area of the region between f(x) = 1-x² and g(x) = x + 3 on the interval [-2,2] 0 2

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Q: Use the graph below, which shows the minimum wages in the United States (in dollars) from 1950 to…

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Q: Which of the following statements is CORRECT? x³ + x 1 = 0 has no solution in [0, 2] Ox³ + x-1=0 has…

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Q: 3. Emily is making a closed rectangular box with a square base from two different woods. The wood…

A: Use minimizing concept

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: Let's solve.

Q: -2, if x < -1 f(x) = (x + 1, if x ≥ −1

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Q: 5. r(x, y) = ln (x + y)

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Q: 5. 6. tan x dx \cos x (1/2-√√x) dx HIM

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Q: Differentiate the following function. f(x) = -3e-3x d -(-3e-³x) = dx

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Q: Next question -4b3 {b₁,b2,b3} be bases for a vector space V, and suppose a₁ = 6b₁ b₂, a₂ = − b₁ +…

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Q: (a) Any critical point of a function f is either a local maximum or local minimum for f. True False…

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Q: Q1/Without using L'Hopital rule, find the following limit. lim

A: We can solve the question as below and as per the asked method.

Q: (a) If (tanh x) = 1/4, find the value of sinh x without a calculator. Show the procedure of your…

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Q: 11. A dangerous toxic pollutant has been accidentally spilled in a lake. t The speed of water…

A: Use algebraic concept

Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Let's find value of given function.

Q: A point P is moving along the curve y = √√x² + 5. When P reaches the point (2, 3), y is increasing…

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