Express the integrand as a sum of partial fractions and evaluate the integral. 2 9x + 5x + 10 [⁹x² + 3 X - 1 -dx

Q: If b2 - 4ac 7 0, which of the following conclusions can bemade about the graph of f1x2 = ax2 + bx +…

A: To determine if b2-4ac>0 which of the given conclusion is correct: (a) The graph has two distinct…

Q: 1 2 X 5 x+y 8 || 1 z 36 78

A:

Q: Find all the second partial derivatives z=cos2(5x+2y)

A:

Q: e the Chain Rule to compute the partial derivative. d -In (6u². + uv) = 0 du Orrect

A: Topic :- Application of derivatives

Q: a. Find the inverse of ƒ(x) = -x + 1. Graph the liney = -x + 1 together with the line y = x. At what…

A: Concept used: Inverse function An inverse function that reverses into another function is called an…

Q: Question 1 Given the following co-functions, find A: sec 41°=csc (11A+16) Blank 1 Blank 1 Add your…

A:

Q: Let f(x)=4x^2/(2−2x)^3 Find the equation of line tangent to the graph of f at x=2. Tnaggent line…

A: Given function:- fx=4x22-2x3

Q: Find the derivative of y=6√s^4+7 (Whole equation under the square root besides the first 6)…

A:

Q: a. lim -3x+√9x² + x ∞0++x² b. lim X-2-x-2 - x²-4

A: a) Given:       limx→+∞-3x+9x2+x Multiply by the conjugate of -3x+9x2+x…

Q: y=4(x^2-4x)^-5 Find dy/dx=

A:

Q: The combined electrical resistance R of two resistors R₁ and R₂, connected in parallel, is given by…

A:

Q: Question 9 According to the theorem of limits at infinity, if r is a positive rational number and c…

A:

Q: The vertical line passing through the vertex of a parabola iscalled the .

A: Parabola:- a plane curve generated by a point moving so that its distance from a fixed point is…

Q: In Exercises 7-10, determine from its graph if the function is one-to- one. [ 3 - x, x -3 9. f(x) =…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Identify the Vertex and Axis of Symmetry of a Quadratic Function

A: Standard form of a quadratic function is=ax2+bx+c where a,b,c are real numbers.Vertex of the…

Q: What is a piecewise-defined function? Give examples

A: A piecewise function is a combination of different functions along with different values of the…

Q: PLOT THE GRAPH FOR THE GIVEN CURVES AND CONDITIONS BELOW Need to find out the differential equation…

A: We have to plot the graph.

Q: Find the absolute maximum and minimum of f(x, y) = x + 4y within the domain x² + y² ≤ 4.

A:

Q: 1 ... 1-2012 0 ( ਜੰਤਰ – () ({ ) = A =) (9) = A =) ( ) = A 0 ({ ) = A ¤ (1) +2 Determine the…

A:

Q: Initial condition. 14. Differential equation: Initial condition: dr dt r(0) = i + j = (t³ + 4t)i +…

A:

Q: 23. Find the following limit. lim x-0.5* lim x-0.5* x+11 x+2 x+11 x+2

A:

Q: dx A point is moving along the graph of the given function at the rate dt (a) x = -1 dy dt = (b) x =…

A: I am attaching image so that you understand each and every step.

Q: 4. (16x + 5y)dx + (3x + y)dy = 0, when x = 1 and y = -3

A:

Q: Let Q, R be the points where the ray of angle intersects circles centered at the origin as shown in…

A:

Q: x+2 2x²+5x+2 11. Find all x values at which f(x) discontinuity and redefine the function to make it…

A:

Q: 3. y = Ae2x cos(3x + B), where A and B are the arbitrary constants

A: To eliminate the arbitrary constants A and B in the following equation.y=Ae2x cos3x+B

Q: The area A of a triangle whose base is b and whose altitudeis h is A = __________. (p. A15)

A: Formula to calculate the area of a triangle is 12×base×height of altitude.

Q: 1. Let y=f(x). = 4x² 4x+1

A: The function is given by fx= 4x24x+1 To determine: (b). The derivative of the function fx (c). The…

Q: A car rental agency charges $200 per week plus $0.20 per mile to rent a car. a. Write an equation…

A: Given data : Car charges by rental agency $200 per week and $0.20 per mile to rent a car.

Q: Problem 3. Consider the integral Using the area interpretation of the definite integral, convince…

A:

Q: C. (6x + y²)dx + y²¹)dx + y(2x − 3y)dy = 0

A:

Q: the height of the golf ball after t seconds is given by s(t) = 24t - 4.9t2 meters

A:

Q: = = '1' (a) 21 = 6e-i (b) z2 = 21, (c) 23 (d) z4 = 21 + Z2, (e) 25 = 21 - 22. 2122, 2п 3

A: We have given some complex number problems in Euler's Form. We have find the real and imaginary…

Q: For the curve y = Inx, find the equation of a tangent line parallel to the line 3x-y = 5 *Note…

A: given curvey=ln(x)

Q: Compute the first-order partial derivatives of the function. w = In (x7 — y4) (Use symbolic notation…

A:

Q: A triangle has sides a = 2 and b = 3 and angle C = 40°. Findthe length of side c.

A: Given: A triangle has sides a = 2 and b = 3 and angle C = 40°.  To find: The length of side c.

Q: In Exercises 55 and 56, solve for k. 55. a. e = 4 b. 100e10k = 200 c. /1000 = a 56. a. ek = - 4 c.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Let's say you are shopping for a sofa this weekend with a budget of no more than $400. Inside a…

A:

Q: e* (sin y - sin x + cos x) dx + e*(siny + cos y + cos x)dy = 0

A:

Q: f(x)=2ln(6x) f′(x)= f′(2)=f

A: Given query is to find the derivative.

Q: dy 6. + 2xy² = 0 dx

A: dy/dx + 2xy2 = 0 here we have to find the solution of this euqaiton  further step given below this…

Q: 1. If f(x)=−1(7x^2−4)^3 then f′(x)= and f′(−2)=

A:

Q: Consider the following. u = (-2, 4, 4) v = (0, 1, 9) Find u x v. Determine if u x v is orthogonal to…

A:

Q: 4. (x + y)dy - (2x - y + 3) dx = 0

A:

Q: Find the equation (in terms of x) of the line through the points (-4,3) and (2,-5) y =

A:

Q: Problem 4. (a) / x² dx 3x + 2 Compute the following integrals x 7 (b) √2+1 da / dx

A:

Q: using method of joints

A: Given differential equation is (4x3y-18x2+y)dx+(x4+3y2+x)dy=0

Q: 2. Consider the following system of equations. {2/²+ +y-1-0 2x² + 2y²-4y-6 -0. a. Transform the…

A:

Q: ind a number d such that the line containing the points (d,4) and (-2,9) has slope -3

A: As we know that: The expression for the slope of the line when it passes through the points, Px1,y1…

Q: Express the following logarithms in terms of ln 5 and ln 7.a. ln (1/125) b. ln 9.8

A: Properties of logarithms: (i)  ln xa=a ln x(ii)  ln(ab)=ln a+ln b(iii)  lnab=ln a-ln b