(D²+1)y= tan x

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -2x - (sin(x))² dy = X Read…

A:

Q: A 1500-L tank is initially filled with a solution that contains 3000 g of salt. A salt solution with…

A: This question can be solved using the concept of differential equation.

Q: What are the rectangular coordinates of the point whose cylindrical coordinates are (r = 7,0 = 1.2,…

A:

Q: SKETCHPAD Write the formula to represent the nth term of the following sequence. 6, 17, 34, 57, 86,…

A:

Q: Write the Taylor series for f(x) = sin(x) at x = Find the first five coefficients. Co= C1= C2= C3=…

A:

Q: d the area inside ²4 sin 20, 8 4 16 0≤0≤

A:

Q: Find all solutions of the equation in the interval [0, 21). csc 0 7 3 If there is more than one…

A:

Q: Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y…

A:

Q: Radius of Convergence of a Power Series. (n!)x" Determine the radius of convergence for the series…

A:

Q: Prove the identity. sec²x+csc²x = sec²x csc ²x Note that each Statement must be based on a Rule…

A:

Q: Solve for the solution using variation of parameters: (D2-1)y= 2/(1+ex)

A:

Q: Find the volume of the solid generated when the region enclosed by the given curves is revolved…

A: This question is based on application of integration.

Q: Find the area of the shaded region below. УА x=y² - 4y (-3, 3) Area = = x = 2y-y² FI

A:

Q: Find r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). ● r(t) = 2t²i - 2tj + 53³k (a) r'(t) (b) r"(t)…

A:

Q: (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C…

A:

Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

A:

Q: COS X d) f(x)=3sin √√x³ -3x+2___ _e) ƒ(x)=! f) h(w) = 3 cos(tan w)

A:

Q: Find the critical numbers of the function F(x) = x/5(x - 9)²

A:

Q: 2. Show that F is a conservative vector field and then use that fact to evaluate SF. dr along the…

A: We need to show F is conservative vector field.

Q: Suppose that the revenue in selling x tables is equal to 200x – 0.25x“ dollars, and the cost of…

A: Here is the solution:

Q: Solve the following initial value problem: y′′+6y′+18y=0y″+6y′+18y=0 when y(0) is 5 and y’(0) is…

A:

Q: derivative of 4x³?

A: Find the derivative of 4x3                 Let        y= 4x3

Q: Differentiate using delta method y=6x2-24

A:

Q: enclosed by the Curve Find the area X = 2y² and x = 8

A:

Q: (-3,0) y = h'(x) (0, -1) (-1,-2) (0, -2) (3,0)

A:

Q: Homework 12 Polar: Problem 6 Find the area enclosed by one loop of the lemniscate with equation ² =…

A:

Q: II. Find an equation of the plane containing the points (0,2,-1) and (1,-1,-1) and perpendicular to…

A: we have to find the equation of plane.  Let, a,b c are the direction ratios of required plane 1.

Q: We can prove that if D is a region bounded by a simple closed path C in the xy-plane, then the…

A:

Q: r(t) = 2ti - 2tj + 시 6 t³k

A: Given :

Q: 6- Given the function below -(x+1) ²+7 X2

A:

Q: Describe the graph of the polar equation. 5r cos 0 + r sin 0 = 7 Line with slope 7 and y-intercept…

A: Explanation of the answer is as follows

Q: 4. Find the Taylor series for f(x) centered at the given value of a. [Assume that has a power series…

A: First we will find expansion using general formula and then put the value .

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

A:

Q: Find the slope of the tangent line to the polar curve r = sin(70) at 0=. Enter as an integer or…

A:

Q: (D³ + D)²y = 0

A:

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 3)…

A:

Q: (D² - 3D + 2)y = 2e¯* +8 Your answer

A:

Q: = Write the Taylor series for f(x) Find the first five coefficients. Co= C1= C2= C3= C4 e about x =…

A:

Q: (D² − 4)y : 4)y = 8e²x - 12 Your answer

A:

Q: Express the series using sigma notation 5-10 + 20-40+80 °5(-2)-¹ 21 -2n-5 7-1 0-5(-2)-1 -2(5)-¹ 7-1…

A: Infinite series

Q: Express the integral as a limit of right endpoint Riemann sums. Do not evaluate the limit. 4 Sª √5 +…

A:

Q: the type of conic section whose equation is giv x² - 2x + 2y² - 20y + 49 = 0 rabola ipse perbola…

A:

Q: What are the rectangular coordinates of the point whose spherical coordinates are (1, ½π, π) ? x = Y…

A:

Q: Write the Taylor series for f(x) = sin(x) at x = Find the first five coefficients. Co C₁= C2= C3=…

A:

Q: For the graph below, the concavity switches at x = +1.7 and 0 and there are critical points at x =…

A:

Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (0, ±2),…

A: follow the procedure given below.

Q: Problem 3

A:

Q: of a rectangle.

A:

Q: d Calculate [ri(t) r2(t)] and [ri(t) x r2(t)] first by differentiating d't dt the product directly…

A: Given,           r1t=4ti+2t2j+5t3k , r2t=t4kTo find : ddtr1t·r2t                ddtr1t×r2t

Q: Solve for the solution of: (D3 + D)2y = 0

A: