Find V × (V × F) if F(x, y, z) = 4xy j + 7xyz k. V x (V x F): =

Q: Write a system of equations that is equivalent to the vector equation. x1 + -5 x₂ = = 9

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Q: Write an equation in slope-intercept form for the line with y-intercept 5 and slope

A: Given: The y-intercept is 5 and the slope is 23

Q: Find the derivative of all orders of the function. y = y' = X 4 A 3x³ 4 + 9 x³ - x² +6x-3

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Q: If the equation P=22e^0.134t is rewritten in the form P=P0^at then: What is P0? = What is a? =…

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Q: A pool is being drained where the amount of water in the pool decreases at a constant rate of 15.1…

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Q: It takes 1600 J of work to stretch a spring from its natural length of 1 m to a length of 3 m. Find…

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Q: Find the center of mass of a wire of constant density that lies along the line y = x from x = 0 to x…

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Q: Consider the following graph of a function g(x). z=2

A: here , we have graph of a funcion g(x) then we have to evaluate the following limits :-(i)…

Q: Find the equation of the tangent line to the curve y = 6 sin x where x = 6 Y Use exact values.

A: Given: y=6sinx at x=π6

Q: The work done by the force F(x,y) = (2x² +5y²)1-6xy acting first along the curve y=x² for x from 0…

A: Given force :- F→x,y=2x2+5y2i-6xyj

Q: Find the work done in winding up a 300-ft cable that weighs 2 lb/ft. O A. 270,000 ft-lb O B. 600…

A: To find the work done in winding up a 300-ft cable that weighs 2 lb/ft.

Q: Find the volume V of the described solid S. The base of S is the region enclosed by the parabola y =…

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Q: Make a problem solving (a hard one) regarding the family of curves elimination of arbitrary constant…

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Q: A breeding group of foxes is introduced into a protected area, and the population growth follows a…

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Q: A vertical right circular cylindrical tank measures 24 ft high and 12 ft in diameter. It is full of…

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Q: Estimate the area under the graph of f(x) = = rectangles and right endpoints. Rn = 0.3308 X x + 2…

A: Right end point is given by∫abf(x)dx≈∆xfx1+fx2+fx3+..........+fxn-1+fxnLeft end point is given…

Q: Find parametric equations for the line that passes through the point (−5, 5) and is parallel to the…

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Q: 21. lim t→0 e5t t 1 t = ±0.5, ±0.1, ±0.01, ±0.001, ±0.0001

A: We have to find the limit limt→0e5t-1t, using the given values.

Q: (a) If g(x) = 3x + 2 and h(x) = 9x2 + 12x + 9, find a function f such that f ∘ g = h. (Think about…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: a) Find the average rate of change of each population with respect to time t as t changes from 0 to…

A: Average growth rate =f(b)-f(a)b-a

Q: The figure shows the boundary temperatures (in degrees Celsius) of an insulated thin metal plate.…

A: INTRODUCTION A collection of two or more linear equations that share the same set of variables is…

Q: . If y = f(x² − 2x + 7) and ƒ '(10) = 2, determine dx at x = 3. Show your work.

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Q: Q2: A) Solve: (x-y3 + y² sin x) dx = (3xy² + 2y cos x)dy

A: The given differential equation is;  (x-y3+y2sinx) dx=(3xy2+2ycosx) dy Repost the next part.

Q: 22. f(x) = 2x³ — 3x² + 2x

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Q: Suppose you start at the point (3, 2, 3) and move 4 units along the curve: in the positive…

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Q: Find the divergence of the vector field F. F(x, y) = 5x²i + 3y²j

A: To find the divergence of given vector field.

Q: A 6 foot tall student walks at a rate of 7 feet per second away from a light that is 15 feet above…

A: Topic - application of differentiation We are given that A 6 foot tall student walks at a rate of 7…

Q: Find the Value of log77³ + log778 73 O 21 O 11 O 12

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Q: 9. Below is the graph of f'(x). For what values of x is f(x) decreasing? Explain f'(x) A -1 1 2 3 -2

A: As we know Function decreasing when f'x<0and function increasing when f'x>0

Q: Write an equation for a line parallel to y = 2x+5 and passing through the point (3,3) y=

A: The equation of the given line is y=2x+5

Q: Problem 1 x JI√ ار कर X dydx

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Q: Find the Solution logx16 = 2

A: Solution: logx16 =2 Apply log rules 1log16(x)=2

Q: I need to find the slope and the equation of a line tangent to y = 1/x at P(-2, -1/2). I tried to…

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Q: Differentiate y = 5* sec (e*). A5' sec (e) [e'tan (e)-In 5] 5³ln 5 sec (e^³) [tan(e¹) +1] 5*¹sec…

A: y=5xsec(ex)d dx(ax)=axlnad dx(secx)=secxtanxdexdx=exd dx(a.b)=adbdx+bdadx

Q: For what values of a does f(x) = 2 cos x + x have a horizontal tangent line? Give all answers in the…

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Q: (a) In order to express the function y=(9t3−3)8 as a composition of two functions the outer of which…

A: Write the functions as a composition of two functions.

Q: verage rate of change (in $ per unit) of C with respect to x when the production level is changed…

A: cost function is c(x) = 2000+14x+0.1x2(a)  finding average  rate of change of C with respect to x…

Q: If x=√√ 1-t and y=-3t+1³, what is y'? (Α B (C) D -6 (t-1) (t+1) √√1-t 6(1²-1) √√1-1 -3 (1²-1) √√1-1…

A: x=1-ty=-3t+t3y'=dydx=dydtdxdtdtndt=ntn-1

Q: et (-x+b, if x -2(and x ‡ b) ) For what value(s) of bis f continuous at -2? (x) = { 1, nswer: b =

A: note - since you have asked multiple subparts question but according to bartleby i only have to…

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: A spring requires a 10 J work to stretch it 0.1 m. Find the force to keep the spring stretched 0.2 m…

A: Solution ) we know that  Work required (w) = 1/2 kx2   10 = 1/2 × k × (0.1)2 10×2/(0.1)2 = k  2000…

Q: 15. Vermae borrowed PHP 151,500 to her friend and agrees to repay it in 3year with 5% annual rate.…

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Q: True or False? The row reduction process can only be applied to augmented matrices for linear…

A: The row reduced process can only be applied to augmented matrices for linear system . We have to…

Q: 1 64 O True O False A 80

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Q: Find a solution of x - y - y that passes through the indicated points. dx (a) (0, 1) y (b) (0, 0) y-…

A: solution:-xdydx=y2-yby cross multiplication we get1y2-ydy=1xdxintegrating both sides w.r.t   x  we…

Q: Let ƒ : R² →→→ R be defined by f(x, y) = (x² + y²) ³. Find f(x, y). Note: the partial derivative at…

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Q: Find f(a), f(a + h), and the difference quotient f(a + h) = f(a), where h ± 0. h f(x) = 2 5x + 3x²…

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Q: lim       x2-4x/x2-16    (Guess value of limit) x-->4

A: We have to find value of given Limit. Let L is the value of given Limit. Since limit is of the form…

Q: a) P=e^ 0.21t can be rewritten P=a^t, where a=.

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: X = 5. Determine the value of k for which f(x) = 4x² − kx + 6 has a horizontal tangent at Show your…

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