Numerade

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The plane $y = 1$ intersects the surface $z = x^3 + 7xy - y^5$ in a certain curve. Find the slope of the tangent line of this curve at the point $P = (1, 1, 7)$.\n$m = $

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Carrying capacity is the number of individuals in a given area total biomass of a given area total plant biomass of a given area total plant biomass minus the animal biomass in a given area maximum number of individuals of a population that an area can support

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one of the problems with calculating that you're not a discrimination that takes place in the market for labor is the

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Convert the equation, $x^2 + y^2 = 16$, from rectangular coordinates into polar coordinates. Solve for $r$.

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7. There is an 40% chance of rain on Saturday and a 25% chance of rain on Sunday. Find the following: (a) There is rain at some point over the weekend. (b) There is no rain on the weekend. (c) It rains on Saturday. (d) It rains on Sunday but not on Saturday. 8. Pedro observed what customers ordered at his ice cream shop and found the following probabilities: $p(vanilla) = 0.3$, $p(sundae) = 0.2$, and $p(vanilla \text{ } sundae) = 0.15$. Find the probability that a customer ordered vanilla ice cream given they ordered a sundae.

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-5x - 24 18. $x^2 - 100$ (x+10)(x-10) 19. 3 -13x + 6 22. $8x^2 + 18x - 5$ 12 26. $x^3 - 16x^2 + 64x$ 27. $(x^2 + 1)$ $(x+1)(x^2+1)$ 30. $x^4 - 26x^2 + 25$ 31 Math Skills Sharpener - H.S. Math Revi

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Let $V(x, y, z) = \frac{1}{2}m\omega_1^2(x^2 + y^2) + \frac{1}{2}m\omega_2^2z^2$, where $\omega_1 \neq \omega_2$. Solve the corresponding Schrödinger equation in cylindrical coordinates

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(3 points) In many refrigeration systems, the working fluid is pressurized in order to raise its temperature. Consider a device in which saturated vapor refrigerant R-134a is compressed from 180 kPa to 1200 kPa. The compressor has an isentropic efficiency of 90%. What is the temperature of the refrigerant leaving the compressor? °C How much power is needed to operate this compressor? kJ/kg What is the minimum power to operate an adiabatic compressor under these conditions? kJ/kg

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Click to see additional instructions LCJ 5.70% 2036 bonds are currently quoting at 97.95. The coupon is paid semiannually. Rounded to the hundredth of a percent, the current yield to maturity on these bonds is %. Question 4 of 10 1 Points Click to see additional instructions JMT 4.25% 2030 bonds currently have a yield to maturity of 3.95%. The coupon is paid semiannually. Rounded to the nearest cent, the price of these bonds is $

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Assume an annual peak load input of 2 MW to an MV feeder. I2R loss at the time of peak load is 100 kW. The average energy flow to the sending end of the feeder is 640 kW per hour. a. Determine the annual loss factor. b. Calculate the total annual loss and its value at $0.03/kWh.

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vicente c.