Using a particular trigonometric substitution 2 1 + x dx √3 +1-V 4 26 π - the above 1+ 13₁ 2 √1-x² is equal to T 6 the above 3-1 + 1

Q: 1. Find the limit. x² - 25 lim x 5 x² - 8x + 15 ૨૨

A:

Q: Determine all solutions of the given equation. Express your answer(s) using radian measure. (Select…

A:

Q: The distance between -3 and 7 on the real line is 10. ibs O صواب

A:

Q: 3 The absolute minimum value of f(x)=x³ on the closed interval [-1,8] is a) 0 b) -1 c) 1 2 d) -…

A:

Q: 7.Find of xy of z = 2x³-5xy²

A: To find ∂2z∂x∂y for the given function z=2x3-5xy2

Q: Homework: MML 1.1 T Line Find the slope and the y-intercept of th y=6-2x Select the correct choice…

A: Given query is to find the slope and y intercept of the line.

Q: 4. f(x) = 5. f(x) = 6. f(x) = 2x+sin x x sin x 2x²+x x sinx+2 sinx 2x²

A: Solution

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) The line…

A: The line passing through the point (1, 0, 9) and perpendicular to the plane x + 4y + z = 5

Q: Evaluate the iterated double integral √1-x² _L [ ³²-x² sin (x² + y²) dz dy dx

A:

Q: 1. Find the limī lim In(sin x) X→π-

A:

Q: √√x+1 Sketch the graph of the function Determine the value of x when y = 3, algebraically and…

A:

Q: Numerical Integration: 1 √x 1. 0 dx

A: We can find the solution of the definite integral as below.

Q: The improper integral .0 Xe-VX2+4 √x² + 4 dx ∞ converges to -e-² the above none of the choices…

A:

Q: 5. Given the matrices below, find B. A 2 1 2000000 A = 3 4 0000000 B = [5 -3 0]

A:

Q: 4- XLnx dy dx +y=zLnx

A:

Q: Solve y' = 6xy - 2x, y(0) = 12 u(r) =

A:

Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ — sin 2x + 1,…

A: The answer is given below using the formula:  W = ∫abF(x) dx where W is work done and F(x) is force…

Q: II. Solve the following problems. Enclose final answer. 8.A kite at an altitude of 200 ft. moves…

A:

Q: A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt…

A: Given a tank contains 50kg of salt and 2000ltrs of watera solution of the concetration 0.0125kg of…

Q: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

A:

Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the…

A:

Q: Consider the following graph. 1 1 X

A:

Q: In problems 5 and 6 find the particular solutions of the given differential equations. d²y dy +9y =…

A: To find the solution of the given differential equation.

Q: Compute the area of the region enclosed by the curves. X y - 2x², y = x² - 4x -2/25 2

A:

Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A: As per the company's guidelines, we are supposed to answer only first question. Kindly repost the…

Q: Write an equation of the tangent line to the curve f(x) = 3x/√x-4 at the point (5,15). Express the…

A:

Q: a²z 7.Find of z = 2x³-5xy² xy

A: Given double differentiation. First we find the partial derivative of z w.r.t y. Then we find the…

Q: The sum of two positive numbers is 20. Find the numbers if the product of the square of one and the…

A: We have to solve above question and the find the two number

Q: 5 2 To-4x 1-1/1/2 5-2x (67²) dz dy dx

A:

Q: 3~5 3 31 ㄱ 2 2 7) 51-³

A:

Q: Where x <0, the point (-x,2) is located in Fourth quadrant AO Third quadrant y-intercept .CO Second…

A: Solve by quadrant

Q: 6) Write an equation of the plane through the points P(5,3,8), Q(6,4,9), and R(3,3,3).

A: The plane passing through the points P5,3,8, Q6,4,9 and R3,3,3

Q: Sin 20 + cos20 +1 Sin 20-cos20 +1 - - сото

A:

Q: The solution interval of 2y +12≥3 or 3y 1 or y≤ -1} .B O (-∞, -1]U (1, ∞ ).CO {yly ≥1 or y<-1} DO

A: We have to find the solution interval of  2y + 1 ≥ 3 or 3y &lt; -3

Q: 13. Convert the rectangular equation to polar form. 1+1=2

A: x2 + y2 = 25 is compare with r2cos2θ + r2sin2θ = r2 so here r = 5 tanθ = x/y tanθ= 1 θ= π/4 so the…

Q: a/ Q ((Laplace)) 1 A²² [5 (5²+25+5)]

A:

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A:

Q: For which of the following does the Mean Value Theorem apply? TT a) f(x) = tanx, - ≤x≤I b) f(x) =…

A:

Q: 12. Find the standard form of the equation of the hyperbola with the given characteristics.…

A: Given problem:- Find the standard form of the equation of the hyperbola with the given…

Q: Find the area bounded by y y = 2x, y=0 and x = 3. X Using vertical element, what is the integral…

A: The given curves are; y=8x, y=2x, y=0 and x=3. Now find the point of intersection between the curve…

Q: True or False: Multiplying a vector by a scalar will result in a collinear (parallel) vector.…

A: 5) Here, the statement is Multiplying a vector by a scalar will result in a collinear (parallel)…

Q: II. Solve the following problems. Enclose final answer. 10. At what rate is the vertex angle of a…

A: Given:-radius of right circular cone, r=3 ftaltitude of right circular cone, h=4 ftaltitude is…

Q: Evaluate sin(x) 1+cos(x) -dx

A:

Q: To determine the area of the region bounded by y=x2 + 1 bounded by x=2, x= 1, y = 0, use a…

A:

Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ - sin 2x + 1,…

A: Here, given that force can be described by: f(x)=x3-sin 2x+1 And, no other force acting on the box.…

Q: There are two extremely important sequences that we will discuss in this chapter: arithmetic…

A:

Q: Write TRUE or FALSE before each statement. Solve y dependent variable. differential equation.…

A:

Q: 36 Where x <0, the point (-x,2) is located in Fourth quadrant A O Third quadrant .BO y-intercept .CO…

A: We will find the given point located in which quadrant in the following step.

Q: 3- dy + 3x^²y = x³6 s dx Y- XLnx dy dy +y = ₂l₁x dx 2Lnx ets

A:

Q: 1. Use the properties of sigma notation and the summation formulas to evaluate 138 540 136 925 10 WI

A: