Question 11 Find the area of the triangle having the given measurements. Round to the nearest square unit. C - 100°, a = 3 yards, b = 8 yards %3D O 2 square yards O 24 square yards O 12 square yards O 47 square yards

Q: 3. Which of the following integrals cannot be evaluated using a simple substitution? 1 xp- x +1 ,4 1…

A:

Q: Use the limit comparison test to determine whether each of the following series converges or…

A: Topic:- sequence and series

Q: I -4 () Draw the graph of f(x) 6.

A: Using graphing calculator,

Q: On the circle x² + y² = r², find y". r2 A. y" C. y" = y - x3 E. None of these -x² - y2 В. у" D. y" :…

A:

Q: A state makes auto license plates that have two letters (excluding I, 0, and Q) followed by four…

A: A state makes auto license plates that have two letters(excluding I, 0, and Q) followed by four…

Q: Using decomposition into partial fractio 2x2 + 2 x(x2 + 2) is equal to

A: We have to find solutions

Q: Speedometer readings for a vehicle (in motion) at 15-second intervals are given in the table. t…

A: We have to find the distance

Q: What is the solution of D.E y" – 3y' = -2cos(2x) when solved using the method of undetermined…

A:

Q: testonvergence and divergene h.

A:

Q: エ→2 x² -4 1- cos 2x 7) lim X sin x エ→0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Question 12 Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest…

A:

Q: Without evaluating the constants, the partial fraction decomposition for 5x2 – 3 - f(x) : %3D (x³ –…

A:

Q: 7. Lonsider the plane through the three polnts Po(1, 0, 0), Pi(1, 1, 0), P2(0, 1, 1). 7.1. Find an…

A:

Q: 3) i.- Given the IVP: y" +3y-4y = 20, y(0) = 0, y (0) = -5. %3D %3D | A) Use the Laplace transform…

A:

Q: The terms of a series are defined recursively by the equations az = 5 5n + 2. an. an+1 4n + 11…

A: Here, the given series has: a1=5, an+1=5n+24n+11an

Q: The graph of f is shown. y y = f(x) 6 12 18 24 Evaluate each integral by interpreting it in terms of…

A:

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A:

Q: Solving by variation of parametery"-4y' + 4y = xe2x, the value of Wronskian W is: xe^4x O None of…

A: We can solve this as follows:

Q: 12 Indicate a general rule for the nth term of this sequence. 6m, 3m, 0, -3m, -6m, . . . a n =…

A:

Q: Find the angle in radians for the given right triangle. Round answers to the nearest hundredth. 10 7

A: Given angle to find is θThe side opposite to θ is called the Opp side and the side that is longest…

Q: The maximum value of x + y + z subject to the constraint x² + y² + z² = 1 is Write in decimal form…

A:

Q: The region below is bounded by y = 4/T, y = 0 and r = 4. 10+ 8. 7. 6 4. -3 -2 4 -2+ If we use…

A: topic- area bounded by curves

Q: Find f. f"(t) = 5et + 4 sin t, f(0) = 0, f(1T) = 0 f(t)

A: topic- differential equation

Q: Evaluate the given integral. [ 2x?sin(4x)dx

A: The given problem is solved below in detail.

Q: The following telescoping series [c0s" () - cos 1 COS COS in. n + n=1

A:

Q: Find the linearization L(x, y) of the f(x, y) = x°y® at the point (2, 2). L(x, y) = %3D

A:

Q: (zxャy)dx->xy dy =。 2-

A:

Q: Which of the following is the particular solution of the differential equation dy = e ;y = 1, when x…

A:

Q: Given f(x,y, z) = In(x² + y² + z²), show that ² f , ²f , ² f x² + y2 + z2

A: Given problem:-

Q: Find the area under the given function using integration

A:

Q: 3. Consider the parametric equations x = 1+ cos(t), y = -2+ sin(t), 0S <2M. 3.1. Find an equation…

A:

Q: Using the method of undetermined coefficients, a particular solution of the differential equation y"…

A:

Q: Use substitution to determine whether the given x-value is a solution of the equation. -5 tan x= 3 O…

A: topic- trigonometric equations tan(-θ)=-tan(θ)tan(π-θ)=-tan(θ)

Q: Using the variations of parameters method for the differential equation y" + 2y'+ y = e* In(x), we…

A:

Q: Using the method of undetermined coefficients, a particular solution of the differential equation…

A:

Q: Using decomposition into partial fractions, 4x2 + 2 dx x(x2 + 2) is equal to In/x (x² + 2)| + C…

A:

Q: Using appropriate substitution, [sec (2x) + 1] tan(2x) dx is equal to

A:

Q: Using appropriate trigonometric substitution, dx xV4 – x² is transformed to S sin 0 d0 sec 0 d0 2 2…

A: The detailed solution is given below Thank you

Q: y= x y = I+x

A: We will find the area under the curve.

Q: de

A:

Q: = e3 + C is the general solution to the differential equation: y' = 3y. Select one: O True O False

A: We need to choose correct option.

Q: For the differential equation (x -4)y" + (x- 2)y'+ 2y 0, the singular points are: O None of them x-3…

A:

Q: Evaluate the limits lim x² + 3x- 4. x→-1 -6 -7 -2

A: We can find the limit as below.

Q: In Exercises 5 through 18, sketch the given region R and then find its area. 5. R is the region…

A: The region bounded by the lines y=x, y=-x and x=1

Q: Two posts, one 8 meters high and the other 12 meters high, stand 15 meters apart. They are to be…

A:

Q: 1. Find y if y =x In(4x+1).

A: Use the product rule of differentiation.

Q: George was required to repay a loan that matured to $4,550 on August 14, 2015

A:

Q: Test the series for convergence or divergence. 3 3 3 11 3 3 10 12 13 O convergent O divergent

A:

Q: Sx² sec² x³ dx .2

A:

Q: I. Find the equations of the horizontal and vertical Tangents. x3 + 3x? – y? = 0

A: