Find the area of the region in the xy-plane bounded above by the graph of the function f(x)=(7/11)x−(21/11), below by the x-axis, on the left by the line x=3, and on the right by the line x=14. The area is:

Q: w much will a person pay for 6.2 pounds of bananas at a price of $0.93 per p e price the person will…

A:

Q: If A = 3 B = | J, c = ; ) II. [X1 X21 [x3 X4]' And X= Solve each of the following equations: 1. (d)…

A: Here we have to use the matrix operations.

Q: Write the equation for a sphere centered at the point ( – 1, 7, 6) and the point ( – 7, 7, – 5) is…

A:

Q: Let f''(x) = 2x + 4 and suppose f'( – 1) = 6 and f(– 1) = 3. Find f'(x) = and find f(3) =

A: Given,            f"(x) = 2x + 4,           f'(-1) = 6,           f(-1) = 3

Q: If the following series converges, compute its sum. Otherwise, enter oo if it diverges to infinity,…

A: Find your answer below

Q: (a) Find f,(1, 4) and f,(1, 4). ,(1, 4) = (1, 4) =

A: By our policy we are allowed to solve one question at a time and maximum three subpart. So here I am…

Q: Choose the point which shows the correct location for the polar coordinate (1, ). 90° 412 135° 7…

A: To choose the point which shows the correct location for the polar coordinate 1, 5π6.

Q: A theorem states that one local extremum implies absolute extremum. Verify that the following…

A: A(r)=12r+3πr2 , r>0SupposeA'(r)=0(-1r2×12)+6πr=0-12+6πr3=0 ⇒r3=126π⇒r3=2π⇒r=2π3

Q: 11. Find the definite integral of S, 2 sinx 1+cos x dx : A. In (1+ cos x) В. 2 In 1 C. In 1 D. In 2

A:

Q: Find the area bounded by these curves.

A:

Q: TT Consider the region D bounded by y = cos(x), y = 8 + cos(x), and x = + 3 y y = 8+ cos(x) 8 6. 4 y…

A:

Q: 5. Find the length and width of a rectangle that has an area of 32 square feet and a minimum…

A: Given, area A=32 sq.ft Let, x be the length and y be the width. The formula for the area of a…

Q: cos x dx

A:

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: Let's find.

Q: Find the cost function for the given marginal cost and fixed cost. marginal cost= 1/80x+40 fixed…

A: Given:        Marginal cost dCdx=180x+40         Fixed cost x=0=$8000…

Q: If f(x, y) 3x+7y af then is given by: (3x–7y) 21y (За — 7у)? 21y (3x–7y)² - 42y (За — 7у)2 42y…

A:

Q: Given D (4, 2) = 5, fwm (4, 2) = 8, we know that (4,2) is a minimum we cannot tell O saddle point…

A:

Q: x =r' +1, y =r -t = t a) Find dy/dx

A:

Q: Select the answer option that corresponds with polar coordinates (3, 7). 90° 2 45° TI -7 radians…

A: Given query is to find the correct option for the cordinate.

Q: Prove or disprove. If the substitution u = f(x)dx becomes g(u)du, and if an indefinite integral of…

A: Given problem:- Prove or disprove. If the substitution u = Ø(x) is such that f(x) dx becomes g(u)du,…

Q: Use the zero or root feature of a graphing utility to approximate the zeros of f(x)= 2x³+8x² – 5x-7…

A: The objective of the question is find the roots (zeros) of the given function.

Q: Simplify the expression. sec @ — csc ө 2) sec 0 sin 0 – cos 0 csc 0

A: Simplify the expression

Q: Evaluate the definite integral. 13 i+ej+t k dt O e13 – 1 -(61 -1) + 1 13 e13 i- (e- - 1) j+ 1 13 2…

A: We have to find the integral

Q: 3. Determine the inverse Laplace transforms. (-2s + 5) -5s – 20 (b) f(t) = L ' 1(s² + 4) (s + 1) ]…

A:

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: Finding a pattern from the given terms.

Q: (3c) Let n E Z. Prove that if n is odd, then 4|(n² – 1)

A: here is the proof

Q: Find real numbers a and b such that the equation is true. a + bi = 2+6i a = 3,6 = 2 a = 5,6 = 9 a =…

A: To find the values of a and b.

Q: 27-x3 1. lim X-3 5x2-11x-12

A: We have to find the limit of one question as per guidelines Please repost other questions again

Q: For the function f(x) cos(x) identify asymptotic behavior and then sketch a graph of the function…

A: According to company rule we can answer only first question and rest can be reposted.

Q: b. g = f(t, v) = tv, t = In m v = m

A: We can solve this as follows:

Q: Write the integral in terms of u and du. Then evaluate. (8x + 19)-2 dx, u = 8x + 19 (Use symbolic…

A:

Q: Use the graphing utility to plot the graph of y = tan on the interval [1, 50]. y = 2-8 y 2:45 2-1…

A: Let's find.

Q: Evaluate the following limits. If needed, enter INF for o and MINF for -0. (a) It – 9 lim t²+5t +5…

A:

Q: 6. Sxe -3* dx хе

A: We solve the above integral using integral by parts which is given in step 2 .

Q: Find the solution. dy 31 +9y=2ty 5/3 dt

A:

Q: Follow the solution in the picture below and show checking.  348610  B2 B8 B16

A:

Q: Find the distance from the point (3, 4, -1) to the plane lr 3y +2z = 5.

A:

Q: dx J (x² + 2x – 10)²

A:

Q: Convert the polar coordinates (4, 315) to Cartesian coordinates. (2√3, -2) (2√2, -2√2) (2, -2√3)

A:

Q: 105% (28.7) Apply the Alternating Series Test to determine if COS NT converges. f the Al- n3/4 n=1…

A:

Q: Consider the following curve. f(x) = Vx2 + 2x - x Determine the domain of the curve. (Enter your…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: sin 4x, + c sin32x. A. sin 2x- (sin 2x - m 2*) 3 + (х + 16 - 8. 16 16 3 sin3, sin x В. 8 sin x 16…

A: Expand (sinx)^6 into single power.

Q: Use the summation formulas to rewrite the expression without the summation notation. 2j + 7 n2 j = 1…

A:

Q: 6. (a) (2/3, 2, 1) (b) (4, 3, 2)

A: We have to find the cylindrical coordinates

Q: Show that the production function f (x) = - () x3 + 10x? + 5x, -∞< x< ∞ has both a concave and…

A: Find your answer below

Q: a?u 2. Solve 0, 0 < x < T, 0 <y<n, + и(0, у) %3D 1, и(п, у) — 1, 0 < y< n и(х,0) — 0, и(х, п) — 1, 0…

A: Solving

Q: How much will a person pay for 4.5 pounds of bananas at a price of $2.29 per pound? alars. The price…

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

Q: 3t Using standard Laplace transforms, find Laplace transform F(s) for cos (G)

A: f(t)=cos23t2using:cos 2x =2cos2x-1f(t)=1+cos23t22f(t)=12+cos 3t2F(s)=L12+Lcos3t2

Q: clearly

A: We have to choose the correct option according to the given information