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1) Evaluate (1) _____ ∫1π₯2cos(1π₯)ππ₯ (π΄) 1...

1) Evaluate (1) _____ ∫1π₯2cos(1π₯)ππ₯ (π΄) 1π₯sin(1π₯) (π΅) −1π₯sin(1π₯)+πΆ (πΆ) sin(1π₯)+πΆ (π·) −sin(1π₯)+πΆ (πΈ) ππππ ππ π‘βπ ππππ£π 2) Solve the initial value problem (2) _____ ππ¦ππ₯=1√...

1. Use the substitution y = my to show that the limit lim do...

1. Use the substitution y = my to show that the limit lim does not exist. 2x²-y2 2. Find all the first and second order partial derivatives for : z = (x+y)In(xy). 3. Find the equation of the tangent plane to the surface x2 + 2y2 - ² - 8 = 0 at the point P(1,1,2). 4. Consider the funct...

4. Use the given graph to estimate the left Riemann sum for...

4. Use the given graph to estimate the left Riemann sum for the given interval with the stated number of subdivisions. HINT [See Example 3.] (Round your answer to the nearest integer.) [0, 8], n = 4 48 x f 15 9 3 x 1 3 5 7 A 5. 0/1 points Use the given graph to estimate the left Ri...

1. -/2 points LarCAApCalc28.5.002.MI. Find all relative ex...

1. -/2 points LarCAApCalc28.5.002.MI. Find all relative extrema of the function. (If an answer does not exist, enter DNE.) f(x)=x²+4x+16 relative maximum (x,y) = ( ) relative minimum (x, y) = ) Need Help? Read It Master It Talk to a Tutor Submit Answer Save Progress Practice Ano...

(1) Solve the following differential equation. (8 pts.) dy ...

(1) Solve the following differential equation. (8 pts.) dy = (8r++3)e-34, = da (2) Find the area of the surface obtained by rotating the curve given by f3 x (t) =t T3, y(t) = t2. , 0 < t < 2 about the x-axis. (8 pts.) (3) A bacteria culture doubles in size every 5 hours, how long...

1. (12 points) Three level curve plots are shown below. I ha...

1. (12 points) Three level curve plots are shown below. I have labeled the levels SO you know which curves are higher and which are lower. higher lower C higher B higher A lower lower lower higher (a) The plots above correspond to 3 of the 5 functions listed here: f *(x, y) = 1 - x²...

1. (4.2) Find the indefinite integral 1(9x2 -3x5)dx - 2. (4...

1. (4.2) Find the indefinite integral 1(9x2 -3x5)dx - 2. (4.3) Find the approximate area under the curve y = 3x² + 1 between x=1 and x=7 by diving the interval into 3 subintervals and then add up the areas of the inscribed rectangles. Then find the exact area under the curve. 3. (4.4) Evalu...

OBJECTIVE: Explore limits of functions, continuity of func...

OBJECTIVE: Explore limits of functions, continuity of functions The graphs of the functions f and g are given below. graph of f graph of g 1 3 -2 3 1. Find the following functional values (if they exist). f(-2) - = g(-2)= = f(-1) = g(-1) = f(1) = g(1) = 2. Determine whether the f...

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