Numerade

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sider the given vector field. $$F(x, y, z) = \frac{7}{\sqrt{x^2 + y^2 + z^2}} (x i + y j + z k)$$ (a) Find the curl of the vector field. curl F = (b) Find the divergence of the vector field. div F =

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What is a key guideline for writing research reports? Write concisely while maintaining completeness Use complex terminology to demonstrate expertise Focus only on the most interesting findings Avoid visual aids to prevent confusion

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Question 1 In a saving account in a bank, you deposited $27,000. The balance of the account after 10 years is $30,000. Assuming interest is compounded quarterly, what is the annual interest rate? (ROUND THIS ANSWER TO 4 DECIMAL PLACES) (When you input your answer to Moodle, ignore the % sign and round your answer to 4 decimal places, if necessary. For example, you should input 1.2345 if your answer is 1.2345412%)

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If a sales tax of $4 a backpack is imposed, calculate the tax burden. The tax burden is $ 44 a day.

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3. We say two curves intersect at right angles if their tangent lines at a point (p,q) are perpendic- ular. That is, if the slope of one curve's tangent line at (p,q) is m, then the slope of the other curve's tangent line at that point is $-\frac{1}{m}$ (a) Find the value of the positive constant C such that $y = x^2$ and $y = C - x^2$ intersect at right angles. (See drawing on the left below.) (b) Find the value of the positive constant D such that $y = x^2$ and $y = D^2 -2Dx+x^2$ intersect at right angles. (See drawing on the right below.) I Question 3(a) Question 3(b)

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Clandestine laboratories are often operated by nonprofessional individuals with a limited knowledge of chemistry. O True O False

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Q4. Suppose a force field is given by: $$F = (2x - y + z)i + (x + y − z^2)j + (3x - 2y + 4z)k$$ - Find the work done in moving a particle once around a circle C in the xy- plane with its centre at the origin and a radius, r = 3. [Given $$dr = dxi + dyj$$, you are required to find the parametric equation of the circle, with single value variable t, from $$r = xi + yj$$]. (Hint: $$\int F. dr$$)

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5) (20P) 4 cm çap?nda bir borudan 20°C'de ($\rho$=998 kg/m³ ve $\mu$=1.002x10?³ kg/m·s) suyun ak?? h?z?, 3 cm çap?nda bir orifizmetre ile ölçülecektir. A?a??daki ?ekilde gösterildi?i gibi, civa manometresinin diferansiyel yüksekli?i 11 cm ise borudaki ortalama ak?? h?z?n?n yakla??k de?erini belirleyiniz. $C_D$=0.61 oldu?una dikkat ediniz.

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Bastion Ltd has non-cumulative non-redeemable preference shares in issue. The issue price is R100 each and the coupon preference dividend rate is 12% per annum, payable once a year in arrears. The company has not paid out a dividend in recent years but expects to recommence dividend payments in two years' time from today. What is the value of each preference share if similar preference share are quoting yields of 10% per annum? Round amounts to two decimals. No signage to indicate in or outflow. A. 110.10 B. 109.09 C. None of the above D. 121.50 E. 110.50

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Write a slope-intercept equation for a line that passes through (-3,1) and (3, -17). The slope-intercept equation for the line is (Simplify your answer. Type an integer or a simplified fraction. Type an equation.)

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misty g.