Part 1: Let h be the height of AWXY. Find the length of the corresponding base. | cm 14 cm Part 2: The measure of angle Y is 55.83°. 11 cm Fill in the blank to complete the sine ratio. h sin (55.83°) = h cm

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: This question can be solved using the concept of domain of vector function.

Q: 1150 15" 26" The total length of a windshield wiper arm is 26" The wiper blade itself is 15" The…

A: shaded area = total area - mechanisum area shaded area = θπR2/360 - θπr2/360 where R = 26 r= 15 θ =…

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y2 + 6, Vf(4, 2) = eBook

A: A detailed solution is given below

Q: A cable 200 ft long and weighing 4 Ib/ft is hanging vertically down a well. If a weight Of 100 lbs…

A: Given

Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

A:

Q: Compute f′(x). a) f(x) = (x2 +1) e−x^2  b) f(x) = (4e−x − e−3x)3  c) f (x) = x2 ln (x2 − 4) d) f…

A: Product Rule of differentiation : du.vdx = u.dvdx +dudx.v dxndx=n.xn-1 deaxdx=aeax Note : As per…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: The given function is: f(x,y,z)=x2+y2+z2 which is to be minimized with the constraint function…

Q: 立 O EXPONENTIAL AND Table for an exponential function The funcuun g is defined by the following…

A:

Q: Let A = (1,0, 2) and B = (6, -2, 3). Solve for projĄB.

A:

Q: Find the volume of the solid formed by revolving the region bounded by y = sin x and the x-axis from…

A:

Q: A manufacturer has determined that t weeks after the end of an advertising campaign, the rate change…

A: A manufacturer has determined that t weeks after the end of an advertising campaign, the rate of…

Q: If f(x) = csc(3x). then f' (x) = %3D o -3csc(3x)cot(3x) o -3csc2 (3x) o 3sec(3x)tan(3x) o 3tan? (3x)

A: Given: fx=csc3x To evaluate: f'(x)

Q: Find the general solution of the following nonlinear first order variable separable O.D.E.: xdy –…

A: Please see the answer below.

Q: Item # 5. 15 pts The following figure shows the graphs of y = f(x) and y = g(x), together with the…

A: A=2.5∫-3-1 f(x) dx = 2.5B=3.3∫-11f(x)dx=-3.3C=2∫13f(x)dx=2D=3∫-3-1g(x) dx =-3E=4.3∫-11g(x)dx…

Q: 1 dx ((Va)² – 16 2 x² .

A:

Q: 3x3/2 2е + dx

A:

Q: The r.m.s. value of f(t) V2x – 1 across [-2,1] is Answer:

A:

Q: A rotating light is located 12 feet from a wall. The light completes one rotation every 5 seconds.…

A: Here we are given that the light is located 12 ft from the wall and completes rotation every 5…

Q: Solve the differential equation dy æy? y(0) = 1 dx /1+ x² There is no need to isolate y.

A: A detailed solution is given below

Q: Find a polar equation for the curve represented by xy = 4.

A:

Q: 4. Find the absolute maximum and absolute minimum of the function f(x) = 3 sin(x) cos(x) over the…

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Q: Simplify cos[arctan( -). -12/13 5/13 12/13

A:

Q: Solve (x2 + 1) + 2xy = dy 2 dx x²+1

A:

Q: 1. Find all the remaining zeros of this polynomial function 2 = x' + x° + 7x´ + 9x – 18, 3 if one…

A: To find all the remaining zeros of this polynomial function.Px=x4+x3+7x2+9x-18, if one zero is 3i.

Q: fy = e2" 2-3 , then find y" at x = 0 Enter your answer as a decimal

A:

Q: Solve the following differential equations of (3x'y+ 2xy + y' )dx +(x' +y°)dy =0

A:

Q: 10 A particle is moved along the x-axis by a force that measures pounds at a point x feet from the…

A:

Q: За - 2 lim x3 - 1 O 2 O does not exist 13 8.

A: lim      (3x-2)/(x3 -1) x -- ∞ here ∞/∞ form so we use la hospital rule we differentiate above and…

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A:

Q: 7. x Arcsec (2x) dx (4x2 – 1)7

A: This is a problem related to integration. Based on the general formula and partial fraction concept…

Q: If z = f(x, y) has continuous second order partial derivatives and x = 2r2 As z = f(x, y) kontinue…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

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

A:

Q: Find dy for dx a) y = xx+3 b) y = [ex(2x2−1)5] /  x2 √(2x+1)

A:

Q: 100 The sequence { 2n+3 n=1 }, is decreasing. Select one: O True O False

A:

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = = arctan 2, (9,…

A: Follow the procedure given below.

Q: The elasticity of a polymer is affected by the concentration of a reactant. When low concentration…

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Q: x2 Find the length of arc of the curve y = 4 Inx from x 1.5 to x = 2.

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Q: Determine whether the geometric (– 1)"3" series * is convergent or divergent, n=1 8" and if it is…

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Q: Evaluate (2x – y) dx + (x + 3y) dy. C: x-axis from x = 0 to x = 6

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Q: Identify whether the following differential equations are linear or nonlinear. State the order of…

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Q: Let f(x) = Vx. Find the equation of the tangent line to f(x) at a = 49 %3D Using this, we find our…

A:

Q: Solve the following differential equations of (3x'y+2xy + y' )dx+(x² +y² )dy = 0

A: Given

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A:

Q: Find the solutions of the system of inequalities by graphing: 2x – y 0

A: We can solve this as follows:

Q: Let the a sequence {fn} be defined by 00 fn fi = 1,f2 = 1,fn = fn=1 + fn=2,n > 3, then sum of the…

A:

Q: x3 + 3x2 10. Then use the 1. Use a graphing utility to graph f(x) graph to determine the open…

A: We have given function y=x3+3x2-9x-10

Q: Express the limit as a definite integral on the given interval. lim [4(x)3 – 3x;*]Ax, [2,7] i = 1 dx…

A:

Q: The number c that satisfies the Mean Value Theorem for Integral of the function f(x) = x² – 5x + 6…

A: Given,            fx=x2-5x+6 on the interval -2,3.To find : Find the value of c that satisfies the…

Q: Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the…

A: Given: z=0z=x2x=0x=3y=0y=3

Q: 2. Let f(x) be a function of period 27 such that f(r) = over the interval 0 < x < 2n. 2 a) Sketch a…

A: