2. cos x dx - 67

Q: dr 14. J z(x+1)²

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Q: 3 X, 4. хе xe-4xdx 5.

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Q: Use the Laws of Logarithms to expand the expression. 4x7 In (x + 3)8

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Q: the area under the graph of the function over the interval given. 25) y = 2x +7; [1, 5] A) 18 B) 52…

A: Given query is to find the area under the graph.

Q: Solve the equation .11 y" + 3y + 2y = x2

A: Solution is here

Q: Solve the equation y' = csc(x) - y cot(x).

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Q: Suppose that F(x) = /. f(1) dt, where V6 +u du. f(t) =

A: Given F(x)=∫1x f(t) dt where f(t)=∫1t4 6+u5u du

Q: Given the curve y = x´ and the line V = 2 – x_ Find the abscissa of the centroid * of the region…

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Q: Let y = tan(3x + 5). Find the differential dy when a = 4 and dæ = 0.1 Find the differential dy when…

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Q: Determine the equation of the tangent plane to the surface z = cos(x + 2y) at the point (2,-1,0).

A: Tangent plane to f(x, y) at (x0, y0) is given by below:

Q: A region in the xy- plane has a z-output given by the equation z = In(x?) + 2xy - e*y. Determine the…

A: the volume between the x-y plane and below the z-axis is given by V=∫x=∫y=∫z=dzdydx According to the…

Q: Solve the initial value problem. dy + 9xy = 4x, y(0) = - 3 dx

A: This question is related to differential equations, we will solve it using given information.

Q: Assume that the radius r of a sphere is expanding at a rate of 60 cm/min. The volume of a sphere is…

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Q: Evaluate the following definite integral using the Fundamental Theorem of Calculus. 216 125 216…

A: To find the given definite integral using fundamental theorem of calculus.

Q: A hot air balloon rising vertically is tracked by an observer located 3 km from the lift-off point.…

A: topic- application of derivatives

Q: Find the radius of convergence, R, of the series. 2 n!(2x – 1)n n = 1 R = Find the interval, I, of…

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Q: Find the differential dy of the given function. Xx + 5 y = 2х — 9

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Q: Complete the table. (Use C for the constant of integration.) Original Integral Rewrite Integrate…

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Q: A wedding planner provides a Momento for each gas the Momento is a 1.5 ounce container of mints…

A: Unitary method: The unitary technique involves determining the value of a single unit and…

Q: answer

A: We will find the particular solution.

Q: Find the critical numbers of f(x)=x^2−26x+3 and classify all extreme values, given that 0≤x≤15 .

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Q: For the given points A, B, and C find the area of the triangle with vertices A, B, and C. A(4,7,2),…

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Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

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Q: A mountain climber is about to haul up a 70-m length of hanging rope. How much work will it take if…

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Q: Determine whether the geometric series is convergent or divergent. n=1 convergent divergent If it is…

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Q: Given that Vf(15, -6) = 4i – j, find the directional derivative of the function f at the point (15,…

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Q: Find a cartesian equation for the curve r2 cos(20) = 4. Equation Use your answer above to identify…

A: Use the formula for conversion from polar to Cartesian coordinate.

Q: Plot the point whose polar coordinates are -3, In the graph below, use the 4. options to change the…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to xx or…

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Q: In this problem you will use variation of parameters to solve the nonhomogeneous equation t'y+…

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Q: solve

A: We will solve the problems.

Q: If the change of variables u = x -2 is used to evaluate the definite integral f(x) dx, what are the…

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Q: Let u = (3,-2), v = (-2,5), and w = (0,1). Express 10u-4v+w in the form (a,b). 10u-4v+ w= (Simplify…

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Q: Use function composition to determine if f (x) and g (æ) are inverse functions. f (x) = Vx+I and g…

A: f(x)= x+13g(x)=x3+1Let y=f(x)y=x+13cubing on both sidesy3=x+1x=y3-1since y=f(x), so…

Q: Audrey Aden Find polar coordinates to represent (-2, -2) with r >0 and 0 <0 < 2T. Find polar…

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Q: Question 1 The position vector of a particle is r(t). Find the requested vector. The acceleration at…

A: Topic  = Derivative

Q: Find the nth term of  (– 4 3 14 29 ) and (4, 5, 8, 13)

A: Sequence

Q: a lim - o Consider the following series. * (-1)* * 1 (jerror 0, and then you need to verify the two…

A: Given: Here, bn+1=(-1)n+1+1n+17=1n+17. We are given the bound ε=0.00005. So, now we need to solve…

Q: Find the x- and y-intercepts for the function. x+1 r2+36 f (x) Enter your answers as points, (a, b).…

A: The given function is: fx or y=x+1x2+36   As we know that; To determine, x-intercept, we need to…

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x =…

A: Solution: Given data, Vertical asymptotes at x=-2 and x=4 So the denominator of the rational…

Q: | (6+xvF)dx

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Q: Evaluate the following expressions. 12 6. a. Σk b. Σ ( 3k+ 2 ) d Σ (2+) с. k= 1 k = 1 n = 1 8 4 5m…

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Q: Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13…

A: Let, x be the number of food cartoons and y be the number of clothing cartoons. Then maximize…

Q: Mathemades Exercises Find the solution of the following Differential Equations 1) 4y+x'y=0, K0) = 2,…

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Q: Find all critical points of the function f(x) = x³ - x? – 54x + 6. (Use symbolic notation and…

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Q: Consider the following limit of Riemann sums of a function f on [a,b]. Identify f and express the…

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Q: *?Which of the following equations Is an exact differentlal equation (x² + 1) dx – xydy = 0 2xydx +…

A: We have to choose correct options.

Q: Identify the graph of the curve by first sketching the graph of r as a func Cartesian coordinates. r…

A: r=2-2cos(θ)

Q: Given the curve y = x´ and the lines y = 0 and y = 2 – x wwww Find the ordinate of the centroid Y חו…

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Q: | (7x + 4) e dx

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