Find all solutions u of < 1,1,1 >x u =< 0, 0, 1 >. Show all steps.

Q: Find the length of side x in simplest radical form with a rational denominator X 30° 4

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Q: Find the domain of the following function. f(x) = ln(9-√√x-2)

A: Topic = Functions

Q: 3. Evaluate the given limit algebraically, if it exists ²-9 lim- x+³2x²-5x-3

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Q: >) Find the length of the curve x== ² + y²² from y=1 to y = 4.

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Q: 3) v(2x − v + 1)dx + x(3x - 4y + 3)dy = 0

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Q: . Evaluate the definite integral.   8 5x − 1 x2(x + 1)  dx 1     please show step by step .

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Q: Find f'(t) and simplify your answer. cost f(t) = 1 - 2 sint

A: Given function is a quotient function and we proceed with finding the derivative of f/g…

Q: (x-y sec² -xtan)dx + (x sec² )dy=0; y(3)=

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Q: The graphs of z = 8, y = g(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to…

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Q: Find all (xo, Yo) in which f(x,y), y(x) = Yo has a solution and a unique solution on some open…

A: It is given that, y'=ln1+x2+y2.   The objective is to find all x0,y0 for which fx,y,yx0=y0 has a…

Q: Use any method to determine whether the series converge. (2) Σ k³ + 10k + 1 This series (b) 1 Σ…

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Q: Given the initial value problem (4x3y - 18x2 + y)dx + (x4 +3y2+x)dy = 0; y(1) = -2 1. Determine if…

A: A differential equation of the form Mdx+Ndy=0 is called exact if ∂M∂y=∂N∂x The solution for the…

Q: 11. Complete the following b) y_dB = 100 dBW + 10 dBm 15 dBm

A: We have to complete the given expression.

Q: Find the area of the region bounded by x = (9-y)^1/2, y = 0, and x = 0.

A: Find the area of the region bounded by x = (9-y)^1/2, y = 0, and x = 0.

Q: 7. Find g(f(g(5)) given that f(x)=4x+3 and g(x)=x-2.

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 6 √x dy = y = 9√x +

A: Solution is given below:

Q: Find a formula for the inverse of the following function, f(x) 2ex - 5ex - 4

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Q: Exercise 8.6.9. The following formulas define functions f and g from R to R. Find formulas for…

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Q: The solution of the differential equation y' : y+√√x² + y² = c y + 2√y² = x² = cx y+√√y²-x²=c y+…

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Q: Fill in the missing values to make the equations true. (a) log, 7-log, 10 = (b) log₂ + log, 8 = (c)…

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Q: 1. f(x) = 4x² -5x

A: Topic = Derivative

Q: The measurement of the edge of a cube is measured to be 8 inches, with a possible error of 0.02…

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the…

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Q: Interpret r(t) = (3 cos(2 t))i + (3 sin (2 t))j + 4k as the position of a moving object at time t.…

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Q: Let f(x) = x³. (a) Estimate the values of f'(0), one decimal place.) f'(0) = 0 F'(-/-) = 0.8 f'(1) =…

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Q: xly 0 0 1 2 3 6.75 fx (1, 2)~ 1 0.5 0.86 1 1.85 4 fx (1, 3) ~ Use the above table to estimate the…

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Q: Let k (x, y) = e 4x cos (x+2y). Evaluate the first-order and second-order partial derivatives of k.

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Q: Find the domain and range of the following graph in interval notation. 54 4 3- 2 -5-4-3-2 - -1- -2…

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Q: x+2 5. Find the vertical asymptote f(x) x+1 a) x = -2 b) x = -3 = c) x = -4 d) x = -1

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Q: For the function f(x) = 3ˣ find f(x+1)/f(x-2)

A: Topic = Function

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

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Q: Use the intermediate value theorem to show 2x^3+5x^2-3x-5=1 has a solution on the interval (0,2)

A: Given equation, 2x^3+5x^2-3x-5=1 That is 2x3+5x2-3x-6=0 Therefore given function, f(x)=2x3+5x2-3x-6

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Given line x=2t, y= t − 3, z = 2t + 2 That is , r=(-3j+2k)+(2i+j+2k)t And given point (7,-6,5)

Q: (2x + e^y)dx + x e^y dy = 0  is an exact DE, please solve its general solution with complete…

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The solution of the…

Q: (a) Evaluate 3x² + 2y² lim (x,y) →(0,0) √√x² + y² (b) In (3-4)

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Q: 2. Evaluate the following and give the exact value: Show your complete solution. n/6 cosy -y…

A: Evaluate , ∫π6π2∫0cosy∫yπ-ysiny+zdzdxdy=?

Q: At time t = 14 s, the velocity of a particle moving in the x-y plane is v = 0.06i + 2.21j m/s. By…

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Q: Evaluate the given limit algebraically, if it exists. 8-e² lim 1+=6+5e²³

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Q: -2 -1 H (A) 0 only (D) -2,2, and 6 only For which values of x does f'(x) = 0? 1 2 3 4 (B) 2 only (E)…

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Q: A 26-week bond with a face-value of $2000 is purchased for $1900. What is the annual simple interest…

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Q: Suppose y = f(x) is the equation of a curve which lies between the curves y = x² + 3 and y = 621…

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Q: no. 3

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Q: 1. Using differentials, solve for the approximate change in the hypotenuse of a right triangle if…

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Q: 1- y²dx + √√√1-x²dy

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Q: Find the Taylor polynomials of orders n = 0.1,2,3. and 4 about 2 = 20 and then find the nth Taylor…

A: Let the given function be fx=ex.We need to find its taylor series around the point x0=3.

Q: 5. Prove the following using the & - 8 definition of a limit: lim 3 - x = −5 x 10

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Q: The solution of the differential equation (e* + 1)ydy = (y + 1)e* dxis :

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Q: Calculate v XW = (u₁, U₂, U3). = (7,3,2) V = w = (-6,4, -3) (Give your answer using component form…

A: On solving this we will get

Q: Use the price-demand equation to find E(p), the elasticity of demand. x=f(p)=83-0.4 eP E(p) =

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Q: The table lists the frequency F (in Hertz) of a musical note at various times t (in seconds). (a)…

A: The given table for frequency of musical note and time t t 0 1 2 3 4 5 F 436 444 434 446 433…