5. lim, A.7 Oi O о O. +D T 7x²+x-100 2x²-5x B 712 NIT D.2

Q: 7. Determine the area bounded by y = x² - 6x + 10, x = 1, x = 5 and the x-axis.

A: Above question is solved.

Q: Which of the following graphs represents the function g(x) = x²(x + 1)(x − 2)? 2 4 2 * 0 4 0 O 4 2 P…

A:

Q: Find an antiderivative F(x) with F'(x) = f(x) = 8+21x² + 10x4 Remember to include a "+ C" if…

A: This question is based on indefinite integral.

Q: Q6) Determine if the following integrals converge or diverge. If the integral converges determine…

A:

Q: y' = X y+x²y , y(0) = -2

A: Given differential equation: y'=xy+x2y, y0=-2To Find: solution of the differential equation

Q: Which of the following is the result of differentiating both sides of the equation xsin y = 2 ln x +…

A:

Q: (1+x)n

A: We can solve this as follows:

Q: Compute (-1AT + 2B) C, where A = (-14T +2B) C = 9 7 4 -3 7 -5 " B = -5 9 -4 6 7 3 and C= 6 3 () -3 7…

A: To find (-1AT+2B)C

Q: NT - My M If = Q, where is a function of y only, then the differential equation M + Ny = 0 has an…

A: The given differential equation is;  ydx+(5xy-e-5y)dy=0

Q: The definite integral that will give the area of the region S using HORIZONTAL strips is +9 Solve -…

A: The simple integration using diagram... Find out area

Q: Solve the given differential equation by finding, as in Example 4 in Section 2.4, an appropriate…

A:

Q: Q5. Given two vectors a = and b = . Find (i) (a + b). (axb) (ii)the angle between a+b and axb.

A:

Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

A:

Q: dy a) Show that the equation x² - 13y² 12xy is homogeneous. dx The equation is homogeneous because…

A: We have to solve a part a,b and c.

Q: Find an explicit solution of the given initial-value problem. √₁-y² dx - √1-x² dy = 0, y(0) = -1/ 1-…

A: The given differential equation,1-y2dx-1-x2dy=0, y0=12

Q: Problem 7. The base of a 50-foot ladder is being pulled away from a wall at a rate of 10 feet per…

A: The base of a 50-foot ladder is being pulled from a wall at a rate of 10 feet per second. To…

Q: 2x2+3x-2 26x2-x-1 lim x→ 3

A:

Q: 1 1- x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the length of the arc of the curve from point P to point Q. 81 81 x-x² (-0, 32). Q(0,52) 2

A:

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A:

Q: Answer 4,5,6

A:

Q: 3. Determine the area above f(x) = x² + 2x + 3 and below the line y = 11. 4. Determine the area to…

A:

Q: For y=f(x)=x²-2x+7, find dy and Ay, given x=4 and Ax= -0.2. dy=(Type (Type an integer or a decimal.)

A: Use formula and put value

Q: Find the solution of the given initial value problem. y’’+2y’+2y=0,     y(π/4)=2, y’(π/4)=-2…

A:

Q: Determine the global minima and maxima of the function: ƒ (x, y, z) = x + y² + = (x + 1)² on the…

A: We can use Lagrangian multipliers: Here, the function to be optimized is fx, y, z=x+y2+12z+12. The…

Q: Find an equation for the graph shown to the right. Type the equation in the form y = A sin (@x) or…

A: Given

Q: 2 - 772 + 317 - + ه ها- لا + 772 - 222 . 2x 3

A: Concept: Without upper and bottom constraints, indefinite integrals are defined. It's stated like…

Q: Use the Laplace transform to solve the given initial-value problem. y'' − y' = et cos t,    y(0) =…

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. - 1)k+19 k!…

A:

Q: For the vector-valued function r(t) = cos(t)i + sin(t)j + 2tk Find r'(t). r'(t)=-i sint + j cos t +…

A: Topic = Derivative

Q: Solve the differential Equations a) y' = x/(y+x^2 y) , y=(0) = -2 b) 3x^2 y dx - (x^3+y^3)dy=0, y(1)…

A:

Q: Compute the value of representation ³√√√3-i in exponential representation and polar

A: Given :3-i3

Q: Answer the given problems in two ways: (1) by using Chain Rule (2) by finding f(g(x)), taking the…

A:

Q: 24-25. What is the area in the first quadrant bounded by the curve y = x², the line y-x - 2 = 0, and…

A:

Q: Find the value of an investment of $10,000 for 12 years at an annual interest rate of 4.55%…

A: Use compounded continuously formula

Q: Find the area enclosed by the curves y= ex = and y = x2 -1, between x = 1 and x = - 1

A:

Q: The tangent line to the curve ³ + y³ = 9xy at the point (4,2) intersects the y-axis at y = -1. -2.…

A:

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: To find the absolute extema first I have find the derivative of f(x) , set them equal to zero and…

Q: e. Angle between a and c

A: Here we have to find the angle between two vectors.

Q: C. (à x b) .c

A:

Q: 2. ) Consider the surface x² + y²-2xy-x+3y-z=-4 at the point Po(2, -3, 18). Determine the following:…

A: To find the tangent and normal.

Q: -2 2 /y + 2 dy + √ ² [√y+2_y] dy

A:

Q: x²-3x-10 x 5 x²-8x+15 9. lim

A:

Q: What is the formula for the total distance traveled by an object with a velocity v(t) = O - ¹ sin…

A:

Q: Confirm that the integral test is applicable and use it to determine whether the series converges.…

A: a)  ∑k=1∞17k+2b) ∑k=1∞11+16k2

Q: Find the eneral integration of th following differential equation xy-Y Xtan y x

A: Concept: Homogeneous differential equation: By integrating the provided differential equation, the…

Q: 2. A particle moves along the space curve r = et cos ti + et sin tj+e-k. Find the magnitude of the…

A: This question is based on chain rule differentiation. ddxfxgx=gxddxf(x) + f(x)ddxg(x)

Q: If w = cos(xyz), compute for O-x²yz cos(xyz) - x sin(xyz) -x²yz cos(xyz) + x sin(xyz) O x²yz…

A: This question can be solved using the concept of partial derivatives.

Q: Find the value of k which makes the following piecewise function continuous for all values of x. k-x…

A:

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). P(C) = 21²1 - 48 + ²P²H 2³k r(t) 3 (a) r(t) 3it…

A: