Given the set of functions: 1. Find f(a) 2. Find (f g)(x) 3. Find f(x²) - g(x) 4. Find g(a - 1) 5. Find f(a + 5) f(x)=2x-1 g(x)=x²-4

Q: © Evaluate the line integral [F(x, y, z) = 2î+xystyk and C is given by F(t) = +²₁++ ³5-tk, ost≤1

A:

Q: A volume is described as follows: 1. the base is the region bounded by y=-² + 14-22 and y=z²-24z…

A:

Q: View each of the following expressions as a function having domain R and codomain R. Mark all of the…

A:

Q: 1) A student starts at the parking lot and goes for a nice leisurely jog along a straight path,…

A:

Q: 5. (a) dy/dx = xy² dy/dx = y² (b) (c) dy/dx = y² + x dy/dx= x² + y² (d) 2 2 0 -2 1 2

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Find f(x) if y = f(x) satisfies dy dx = 4y and the y-intercept of the curve y = f(x) = f(x) is 13.

A:

Q: The total weekly revenue of the Country Workshop in manufacturing and selling its rolltop desks is…

A:

Q: Find a minimum value for the radius of convergence of a power series solution about X- y"-xy'-4y=0;…

A:

Q: 2) If (2x + k)dx = 0, find k

A:

Q: Problem 1. Find the standard parametrization of the straight line segment from (3, 5,-2) to (3, 0,…

A:

Q: The base of a sc x² + y² = 16. x² + y² = 16 → x oss-sections perpendicular to the x-axis are eq…

A: We are asked to find the volume of the given solid.

Q: Solve the initial value problem (dy/dx)-2xy=6x, y(0)=8 y=?

A:

Q: Find the distance (d) between the planes -2x - 4y + 5z = 39 and -2x - 4y + 5z = 14. d =

A: Given;  -2x-4y+5z=39 -2x-4y+5z=14

Q: tan (sin-)

A:

Q: Find parametric equations for the line through (1,10,-3) perpendicular to the plane 10x+3y+5z=19.…

A: Solution=> A vector perpendicular to the plane ax+by+cz+d=0is given by (a,b,c) So a vector…

Q: 1. The graphs of y = f(x) and y = g(x) are shown below. Determine lim (f(x) + g(x)) and lim (f(x) ·…

A: We will compare both graph

Q: 10. Use the graphs below to answer the following questions. Give your answer in interval notation.…

A: From the given graph we have to find the solutions of the inequality 2x+4<-x+1 and 2x+4≥-x+1.

Q: x² - 3x x53x² - 9 ' 2 Х - x = 3.1, 3.05, 3.01, 3.001, 3.0001, 2.9, 2.95, 2.99, 2.999, 2.9999 19. lim

A: As per ourguidelines we are supposed to answer only one question.Kindly repost other question as a…

Q: Consider the following systems of linear equations. 2x + 5y2z = 14 x + 3y - 4z = 5 x + 2y + 2z = 9…

A:

Q: Locate and classify the discontinuities of f when f(x) = 5x² - 19x - 4 12+x-x² jump dis. x = -4,…

A:

Q: Find the general equation of the differential equation: (a)  (y-cos²x)dx + cosxdy = 0

A: To find the general equation of the following differential equation. y-cos2 x dx+cos x dy=0

Q: 1) If f(x) = x²(2), find f'(2)

A: f(x)=x2∫2xdtt2+5we know  d dx(∫axf(t)dt)=f(x)×d dx(x)-f(a)×d dx(a)

Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A:

Q: subject: differential equation topic: family of curves obtain the differential equation of all the…

A: Topic = Differential equation

Q: Question 3. Find both the vector equation and the parametric equations of the line through (-3, 4,…

A:

Q: • Solve using homogenous equation v² dx + x(x + v)dv = 0 a.)xv² = c(x + 2v) b.)xv = c(x + 2v) c.)xv²…

A: We can solve the given homogeneous differential equation by using the substitution v = ux.

Q: (1) Calculate the iterated integral ²6xyz dzdx dy оох

A:

Q: List the zero's of f(x) = x³ + 3x² - 4x. X =

A:

Q: Find the critical points, domain endpoints, and local extreme values for the function. 4/5 y = x…

A:

Q: Consider the function f(x) = 3x^2 - 5x on the interval [-3, 3]. a) The slope of the secant line…

A: Given function f(x)=3x2-5x  on the interval [-3, 3]

Q: Find an equation of a plane containing the three points (-3, 2, -2), (1, -2, -1), (1, -1, 1) in…

A: A plane containing the three points -3, 2, -2, 1, -2, -1, 1, -1, 1. We have to find the equation of…

Q: 3 x x²8x+16 dx

A: Given :∫x3x2-8x+16dx

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A: Given: The velocity graph of the object is given in ft/sec. To find: The distance covered by the…

Q: ii) If x = 3 is one of the turning points of the function f(x), what is the value of the unknown…

A: Topic = Application of Derivative

Q: 5) f(x)=x²-2.5x² +.56

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Graph the function by hand, not by plotting points, but by starting with the graph of one of the…

A: The given function y=5+x+3. We have to sketch the graph of the function.

Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

A:

Q: to evaluate lim sin (r + 2 sin x). 1-6A Use continuity 1. limit = ∞ 2. limit= -1 3. limit= 0 4.…

A: Given limit limx→6πsin( x + 2sinx )

Q: Find lim f(x) and lim f(x) for the given function and value of c. X→C+ X-C f(x) = (x + 9) x + 61 X+6…

A:

Q: 4. Write the equation of a line containing the point (5, 150) with slope m = slope-intercept form. 1…

A: We can solve this as follows:

Q: Mr. Jackson borrowed money from his bank and on his life insurance to start a business. His interest…

A: It is given that Mr. Jackson borrowed $100000 from two sources bank and life insurance.Interest…

Q: quantity present, with constant of proportionality K>0 . (a) Set up a differential equation for the…

A:

Q: A drug is administered intravenously at a constant rate of r mg/hour and is excreated at a rate of…

A:

Q: 4) f(x). = x²(x-2)(x + 2)

A:

Q: 13-14 Use the graph of the function f to state the value of each limit, if it exists. If it does not…

A:

Q: • Solve using homogenous equation • v² dx + x(x + v)dv = 0 a.)xv² = c(x + 2v) • b.)xv¹ = c(x + 2v) ●…

A:

Q: QUESTION 1 At 1 pm, a bacterial culture weighted 100 grams. At 4.30 pm, it weighted 250 grams.…

A:

Q: Create formulas for the composi object. The object is a quarter arc attached to a square. 16. Find a…

A:

Q: 7. Piper has worked for the same company for 7 years, and each year she gets a raise of $2,000. In…

A: