3 fff Sayz dv= - S₁² S₁² ² 8zyz dz dz dy 2

Q: Find the indicated term of the binomial expansion. (√2₁² +1³); second term 3 u

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Q: Which of the following represents the limit definition of the definite 16 integral 26 4x5 dx using a…

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Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. X = = t³,…

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Q: Find the points on the graph of the polar equation where the tangent line is horizontal or vertical.…

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Q: Find ∫∫D(4x+5y)dA where D={(x,y)∣x^2+y^2≤1,x≥0}

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Q: The equation z = x² + y² - 2x is given in Cartesian coordinates. Convert the equation to cylindrical…

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Q: The function y(x) saifies the following equation: Find an expression for dy dx 5 x² + 3xy +…

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Q: Find ∫∫R(5x+2y)dA where R is the parallelogram with vertices (0,0), (-2,-4), (1,3), and (-1,-1).…

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Q: A bacteria population starts with 400 bacteria and grows at a rate of r(t) = (450.261)e1.12567t…

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Q: 11. The quadratic function y = a (x - b)² + c passes through the points (-3,0) and (5,0). Its…

A: Question No. (11): The quadratic function passes through the points . Its maximum valueis 32. To…

Q: Minimizing Heating and Cooling Costs A building in the shape of a rectangular box is to have a…

A: We have to find the dimensions of the building that will result in a minimal annual heating and…

Q: how much is 2*2

A: The question is asking for the product of 2 and 2.

Q: 9. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval 0, π], are…

A: Given that the function are

Q: 9. The graph of y = 4x² - 5x is translated 2 units in the positive vertical direction and 3 units to…

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Q: Find the ninth term of the binomial expansion. (p+q) ¹¹

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Q: 15. A hot-air balloon is rising straight up at 5 ft/sec. An observation area is located 80 feet from…

A: Hsnsnsn

Q: 4. Evaluate the integrals. a. b. C. Lou + 3 du +3 6². v³ +3v4 v² √2/43 -dv π/4 3 +7 (cos (0))² (cos…

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Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Given the ellipse : 1 (x+2)² + (−1)² = 9 4 (a) Graph the ellipse, together with its major and minor…

A: The blue dashed line represents the horizontal and vertical lines passing through the center.

Q: Given the graph of f (x) below, what is the open interval(s) ov which f'(x) is positive? 3 N -8 -7…

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Q: What are the radius and the coordinates of the center of the circle with equation x2 +(y-2)2=30

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Q: 4. Solve Cauchy problem: y" - 5y' + 4y = 0, y(0) = 1, y'(0) = 2

A: To solve the following Cauchy problem.

Q: The function C(t)=C0(1+r)t models the rise in the cost of a product that has a cost of C0 today,…

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Q: Find the degree 3 Taylor polynomial T3 (x) of the function f(x) = (7x - 1) 4/3 at a = 4. T3(x) =

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Q: Determine the amplitude, period, and phase shift for the given function. - cos(2x - 5) y=1- 1…

A: To determine the amplitude, period, and phase shift for the given function.

Q: derivative xy = e -xy

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Q: se the given information to evaluate each expression. (Enter your answers in exact form.) sin a =…

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Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= 8 cos 0+6…

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Q: Let f(t) be the function 2t² + 1t+5. Follow the steps below to use the formal definition of the…

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Q: 11. A car drives towards a 111 m skyscraper at 7.62 m/s. How fast is the car approaching the top of…

A: Given that :Height of the skyscraper =  mSpeed of the car =  m/sTo find :Rate of change of distance…

Q: Eliminate the parameter t to find a Cartesian equation in the form = f(y) for: √x (t) = 4t² y(t) =…

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Q: 3/4 Find the cost function if the marginal cost function is given by C'(x) = x C(x) = +5 and 16…

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Q: at the point (0, 1/2). and b = The equation of this tangent line can be written in the form y = mx +…

A: y=1/[3sinx+2cosx]Point (0,1/2)

Q: Let (a) Evaluate det1B 2 by expanding by the second row. (b) Evaluate det1B 2 by expanding by the…

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Q: Find the radius of conv- 00 n! n 1.3.5..... (2n

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Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

A: Given that the polar curve

Q: y² 7. Use a double integral to find the area between x = 2y and x = 3 Sketch this region.

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Q: 2. Show that the series converges by the Alternating Series Test (two conditions). Then find how…

A: The given series is

Q: Problem #4: Beginning now at time t = 0 in years, the number of mice in a population of mice is…

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Q: Convert the point with cylindrical coordinates 11π 13, 5 to Cartesian coordinates. Enter your answer…

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Q: Find the point on the curvey=e* + x where the tangent is parallel to the line y = x.

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Q: Consider the following graph of f (x). Which of the following are inflection points of f (x)? -3 O…

A: We have to find the coordinates of the inflection points from the given graph of function.Let's…

Q: e Six dx xX (1+lux)

A: We use the method of substitution to evaluate the given integral

Q: 21. A window is composed of a rectangle with a semicircle above. If the perimeter is 16.0 m, what…

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Q: Determine the critical numbers, if any, of the function f. f(x) = 3x² + 3x³ - 54x² - 81x + 21 Give…

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Q: 1) Analyze the function f(x)=x² In(x). Report extrema, inflection points, intervals of monotonicity…

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Q: If the marginal revenue for ski gloves is R'(x) = -0.5x + 55 and R(0) = 0, find the revenue…

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Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: The graph of the function g(x) is shown as,Since parts a to c are already solved in original…

Q: The average household received 24 pieces of mail each week. The number of bills and statements is…

A: The average household received 24 pieces of mail each week. The number of bills and statements is…

Q: Consider the indefinite integral ax + b + where Then the integrand decomposes into the form C d a =…

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