Express the integral in terms of the variable u, but do not evaluate it. In x dx; u = Inx In ¤ dx du
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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…
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- Locate the centroid x of the area. y h y = h -b.FIG. 1. A displacement vector in the ry plane. A displacement vector in the xy plane is 15 m long and directed at angle 0 = 30° in the above figure. Determine the x component and the y component of the vector.Explain the difference between a rate of change that is positive and one that is negative. Give an example of each. O Consider the ordered pair (x, y) where x is the independent variable and y is the dependent variable. If y increases with the increase in x, then the rate of change of y is positive. Whereas, if y decreases as x increases, then the rate of change is negative. For example, if you consider the speed of a car (y) over time (x), as the car accelerates, the speed increases with increasing time, and the rate of change of its speed is positive. When the car brakes, the rate of change of its speed is negative, because the speed decreases over time. Consider the ordered pair (x, y) where x is the independent variable and y is the dependent variable. If y increases with a decrease in x, then the rate of change of y is positive. Whereas, if y decreases as x decreases, then the rate of change is negative. For example, if you consider the speed of a car (y) over time (x), as the car…
- A vector v has initial point P₁ = (-1,2) and terminal point P₂ = (x, 14). Find all numbers x so that v has length 13. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list if needed.) X=For this question, can you explain how we get the integral from dFz to Fz. Can you also explain how im supposed to know which proportion to use? In some similar question we use proportions such as dQ/dl and in other question we use dz/d theta. How do i know which proportion to use for the question?That was not correct
- The functions ¢1(x) and ø2(x) are normalized: d φ( (α) φι(α) dx 0(x) 62(x) = 1 = 1 -00 -00 and are mutually orthogonal dx oi(x) $2(x) dx 4i(x) $1(x) = 0 . Is the function b_(x) = ¢1(x) – $2(x) normalized? If not, determine its normalization constant and write the formula for the normalized y_ (x). Is the function +(x) = ¢1(x) + ¢2(x) %3D orthogonal to _(x)?Vector R is defined as the vector sum of vectors A and D (R = À + D) shown below. Whatare the vector components of vector R?Consider two vectors A and B. À = 11 + 13Ĵ and B = 14î - 16) Find the unit vector that points in the same direction as the vector A + 2B. Write the unit vector in the form 1 √ (U‚Î + U‚}) N = = U₁ =