Find the area of the region bounded by the line  y=6-2x and the coordinate axes. (Write only the numeric value.)

Q: 7. A carpenter is building a rectangular room with a fixed perimeter of 54 ft. What are the…

A: We need to find out the dimensions of the rectangle whose area is maximum.

Q: c. What was the mean change your answer using bar notation. 13 - 4.93. 50 6.) a. Describe two ways…

A:

Q: Given the function f(x) - A. Factor [Select] [Select] x(5x+5)(x-3) B. Find th x(5x+3)(x-5)…

A:

Q: 1. Suppose f is differentiable everywhere, f(0) = -1/2, and f' is graphed below. 2- (a) Find all…

A:

Q: Kaiden wants to enclose a rectangular field with two internal partitions as shown. If there is 17300…

A: We have given the fencing length i.e., 17,300 feet and area is maximum then find the length and…

Q: Evaluate (2x−y) dx + (x + 9y) dy. C: x-axis from x = 0 to x = 6

A:

Q: intercepts. f(x) = (x + 1)²(x-4)²(z - 6)

A: Topic = Functions

Q: Find the absolute extrema and where they occur for f(x) = 5x² + 11x - 3 on [-5, 1]. Give exact…

A:

Q: 1) The braking distance of a vehicle is defined as the distance travelled from where the brakes are…

A: Given:  s= speed of truck d= braking distance --------------------------------------------------…

Q: Sketch the plane curve represented by the vector-valued function and give the orientation of the…

A:

Q: 2. Solve the following integral [(secx a. tanx + secx + C O b. secx - tanx + C O c. tanx - secx + C…

A: formula used  ∫sec2x dx=tanx +c∫sec(x)tan(x)dx=sec(x)+c

Q: If you copy a document on a machine, you should get a similar copy. Suppose you want to reduce a…

A: If you copy a document on a machine, you should get a similar copy. Suppose you want to reduce a…

Q: (c) [(317+(31 sint)7) dt (d) ((e)i+e' cos(re)7) dt

A:

Q: Find the work done by the force F = 9xy i+ 12y²j acting along the piecewise-smooth curve consisting…

A:

Q: Determine the horizontal asymptote of the function. If none exists, state that fact. 4x5 +5x³-4 6 3x…

A:

Q: Let w(x, y, z) = x² + y² + z² where x = sin(2t), y = cos( - 7t), z = e-8t. dw dt dx dy dz & dt dt dt…

A:

Q: The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0? -10 -8 -6 10 8…

A:

Q: Differentiate f(x) = 5 ( − 3xº – 8x³). You do not need to expand your answer. f'(x) = Factor out the…

A: d/dx =nx(n-1) for any real number n

Q: Evaluate 112 (2x - y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 2

A: To evaluate the given line integral

Q: 2. Given the rational function f(x) = make a sign diagram for the first derivative only, and find…

A:

Q: Use l'Hôpital's rule to find the following limit. lim (In 5x - In (x + 4)) X→∞ lim (In 5x - In…

A:

Q: Use sigma notation to write the Maclaurin series for the function COS IIX.

A:

Q: Use the Comparison Test to determine whether the infinite series is convergent. ni Σ_n² By the…

A:

Q: If f(x) x+1 4x 3x + 5 13x + 5 3x + 3 13x + 1 3x + 2 and g(x) = 3x x + 3' then (gof)(x) is

A: given  f(x)=x+14x                        g(x)=3xx+3           gof(x)=g(f(x))

Q: b.) If r(x)= 1 √g(2x) > find r'(x) at x = 2

A: Topic = Derivative

Q: If 3x O -2. O 0. O 4. O 2. O -4. 3 [2x y/t then y =

A:

Q: Find f. f"(x) = cos(x), f(0) = 3, f'(0) = 6, f"(0) = 4

A:

Q: The graph of the derivative of f(x) is shown below: 7+ 6 5 4 3 2 -7 -6 -5 #4 -3 -2 -1 -1 -2 -3 -4 -5…

A: Topic = Functions

Q: Let f(x) = 9x² + x³ +20 + 24x Determine the absolute extrema of f on [-5, -1]. If multiple such…

A: The given function fx=9x2+x3+20+24x We have to find the absolute maximum and absolute minimum values…

Q: Find an equation of the plane with point P (2, -1, 3) and containing the line L: x-3 y+4 z-5 -6 10 =…

A:

Q: (a) In(a + b) In(a)In(b) for all a,b > 0 OTrue False (b) In(a-b) In(a) + In(b) for all a,b>0 OTrue…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Find the scalar and vector projections of b onto a. a=(3, 6, 2), b=(3, 1, 1) compab= proj b=|

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A: The given sequence is; an=n3/(3n3+1).

Q: -10 -8 -6 Answer: f(x) = -4 -2 20 16 12 8 4 -4 do -12 -18 2 9 8 10 Submit Answer

A: Given query is to find the function of the graph.

Q: b) r = 1 2sint+3cost

A:

Q: Write a polynomial with degree 3 that has zeros at x = only integers. P(x) = 5 and x = 2 + √5. Write…

A: We have to find the polynomial

Q: The graph of f' is given Assume that f is continuous and determine the x-values corresponding to…

A: Given question:- We have to find local maxima and minima point with the help of function's first…

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give…

A: Given function: fx=x8/9 on the interval -8,9.

Q: Find the arc length of y= 2x sqrt(x), from x=0 to x=1 please show all work on a piece of paper

A:

Q: 4. Consider f(x) = 6 + (x+3) ²/³. Find the extrema of this function using the first derivative test.

A: We have to find extrema by first derivative test.

Q: 1. Evaluate the given integral [(4x³ - 3√x) dx 12x² a. - 3 2√√x + C 2 1x²-3x² + c x4 X2 C 4 b. 3 x4…

A: Solve the intregal

Q: Find dy if y=sin(x) cos(x). dr2

A: To find double derivative of given function

Q: If f(x) = √7x, find f'(x). Find f'(2).

A: Solve

Q: Find the centroid of the region lying underneath the graph of the function f(x) = e over the…

A: The given function is: f(x)=e-x      over the interval  0, 4

Q: -6 -5 -4 -3 -2 10 8 6 4 2 1/2 3 4 5 6 -2+ -4 -6 -8 -10 + The function graphed above is: Concave up…

A: A graph is said to be concave up if it is open up side and concave down if it is open downside. A…

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y (a) 256 (c)…

A: Topic = Area

Q: K Find the lines that are tangent and normal to the curve at the given point. x²y² = 64, (-1,-8) The…

A:

Q: Determine which graph is the graph of f(x) if the following are true. f(0) = -5 f'(x) is positive on…

A: Topic- Functions and application of derivatives We are given f(0)=-5 f'(x) is positive on nowhere…

Q: Use implicit differentiation to find 6 y=x-y and

A: Topic - First and second derivative of a function We are given, 6y=x-yWe know thatddxxn=nxn-1

Q: 8. Given that f"(x) = 4x- x² + 3 use a test to find all intervals on which f is concave up or…

A: 8)