[2ºe² da O 2¹ e¹ In 2 +c ○ 2e + c O 2 e 1+In2+ c O (2 e In 2) + c

Q: cos(8), sin(), (a) Eliminate the parameter to find a Cartesian equation of the curve. -9√/1-1-²2 64…

A: Topic:-  application of trigonometry

Q: write the answer in 4 decimal places please

A: Topic:- application of derivatives

Q: Find the orthogonal trajectory of the curves x ^ 2 = c *(y ^ 3)passing through (1,4).

A:

Q: Q)solve the following system of equation using cramer's rule 5x₁-2X₂ +3 X3₂ = 16 2X₁ +3X₂-5X3 = 2…

A: Given system of equation are5x1-2x2+3x3=162x1+3x2-5x3=24x1-5x2+6x3=7

Q: sider the differential equation (a) Find 7₁, 72, roots of the characteristic polynomial of the…

A:

Q: Find the radius of convergence and the interval of convergence of the power series (2x)" 72! R=2,…

A:

Q: Find the area of the largest rectangle that can be bounded by the x-axis and the parabola y=a-bx²,…

A:

Q: Two sides of an oblique triangle are measured to be 7 and 2. If the angle θ between the two sides…

A: Two sides of an oblique triangle are measured to be 7 and 2. If the angle θ between the two sides…

Q: Evaluate the integral f25 (2-6) dx by making the substitution u = -6. + C

A: Given integral:- ∫x5x6-67dx

Q: Solve the given differential equation. dy dx -8x√16-y2 = (A) y=sin (4x² + C) (B) y=sin¹ (4x² + C)…

A: To find the solution.

Q: To estimate the height of a mountain above a level plain, the angle of elevation to the top of the…

A:

Q: Find the sum of the series: n=0 (-1)"4"-2 (2n + 1)!

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. lim x-0 cos 9x - x² cos 4x

A: Please see the below picture for detailed solution.

Q: 245 students enrolled in a freshman-level chemistry class. By the end of the semester, 6 times the…

A: Let the number of students which failed be x.

Q: Evaluate the integral. 가고 4-x² π 2 플-1 2 dx 0 1 프_3 2

A:

Q: Suppose that p(x) X = = to x = n=0 convergence of p(9x − 2). " ∞ anx converges on (-1, 1], find the…

A:

Q: Solve the given differential equation. e5x -5ydx-dy = 0

A: e5x-5ydx-dy=0 this can be written as  e5xdx = e5ydy now apply integration both side we get ∫e5xdx =…

Q: x5 (26 + 6)6 This can be transformed into a basic integral by letting Consider the indefinite…

A:

Q: Consider the indefinite integral + U a) This can be transformed into a basic integral by letting du…

A: The given integral is: I=∫lnz5zdz   ....1   Use the common derivative. ddxlnx=1x

Q: 2. Estimate the area between ( the curve y = x² + 1 and the x-axis over the interval [0, 4]. Use a…

A:

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A:

Q: Graph the feasible region subject to the following constraints: 4z +16y≤ 800 20z+40y≤ 2400 z>0 y>0…

A: use the x intercepts and y intercepts for finding the feasible region.

Q: Evaluate the following indefinite integral. et 1-1+ di dt 1 + et Note: Don't forget your C! And be…

A: Evaulate the integral

Q: The normal line at x = 4 of the curve y=x²+x+, where m= 3 and n = 0, interects the curve at a second…

A: I have solved step by step in detail...go through the solution.... I have used two perpendicular…

Q: A conical paper cup is 20 inches tall with a radius of 10 inches. The bottom of the cup is punctured…

A: We know volume of a cone, V=(1/3)πr2h, r is the radius , h is the height Given h=20 inches= 2*10…

Q: A frog at point A on the shore of a circular lake wants to reach point B diametrically opposite A.…

A:

Q: Use the given information to find the unknown value. y varies directly as the cube of x. When x = 2,…

A:

Q: Solve the given differential equation. dy=8x√16-y2 A) y = 4 sin (4x² + C) B) y = 4 sin¹ (4x² + C)…

A: dydx=8x16-y2

Q: A point is moving along the circle x²+²=² in the first quadrant such that its x-coordinate changes…

A: The given circle is:x2+y2=r2The radius of the circle is:  6 unitsTherefore:x2+y2=36

Q: A company determines that its weekly online​ sales, S(t)​, in hundreds of​ dollars, t weeks after…

A: Weekly online​ sales, S(t)​, in hundreds of​ dollars, t weeks after online sales began is given by…

Q: Find the k-component of (curl F) for the following vector field on the plane. F = (xey)i + (2ye*)j

A:

Q: | fe²z + 2 da dx: a) This can be transformed into a basic integral by letting Consider the…

A:

Q: Find the 3rd degree Maclaurin polynomial for the function f (x) = ex²

A:

Q: Find the area bounded by the curve y = (x - 2)² and y - 2 = x.

A:

Q: We are interested in the first few Taylor Polynomials for the function f(x) = 7e +9e-a centered at a…

A:

Q: (7 points) Consider the region bounded by the curves x = y²-3 and x = y +1 shown below. Set up an…

A:

Q: Evaluate the following Laplace transforms by using the formulas listed in the table of Laplace…

A: To find the Laplace transform of given function

Q: Determine whether the series is convergent or diverge 1 n=1 m² 6n + 12 - www. converges diverges

A:

Q: Prove that d COS dx 1 X = 1 √1-x²

A:

Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 3…

A: Given that      r = 3 cosθ , r =1+cosθ  Here we have to find the area of the region that lies inside…

Q: ³ f(42° +22³) dz Find + C

A:

Q: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember…

A:

Q: ∞xk The power series for the exponential function centered at 0 is ex=for -∞o <x<∞o. Find the power…

A:

Q: Two sides of an oblique triangle are measured to be 6 and 4. If the angle between the two sides…

A: Ans= 0.0357  For detail...go through the solution...I have solved in detail

Q: 5) Find the divergence of (√x² + y² + )(i + y + zk)

A:

Q: 4. 16x²-x+3 6x²-5x2+1

A:

Q: Find the interval of convergence for the given power series. n¹¹(x +11)" 11 35 n=1 (5") (n ³ The…

A: Let's find interval of convergence.

Q: 625.075 X 10. Points A and B (on the same side of a tower) are 16 m apart. The angles of elevation…

A:

Q: We are interested in the first few Taylor Polynomials for the function f(x) = 4e + 3e X - centered…

A:

Q: Use the indicated formula from the integration table to find the indefinite integral. (Use C for the…

A: Given, ∫1x5+9x2dx