Suppose that f(x, y) D = I and the region D is given by {(x, y) | 3 ≤ x ≤ 4,1 ≤ y ≤ 4}. Y Then the double integral of f(x, y) over D is [ f(x, y)dady =

Q: Use a triple integral to find the volume of the solid bounded by the graphs of the equations. z = 6…

A: Given that some equation z= 6-x3 and y= -x2+2 And y=0 ; z=0 ; x>=0 . Use triple integration to…

Q: Which of these could not be a parametrisation of y² = 8x...? a) y = t, x = ² Ob) y = 2t, x = t - Oc)…

A: Solution )  y2 = 8x  a) When y = t  t2 = 8x  x = t2/ 8  ( correct )  b ) when y = 2t  ( 2t)2 = 8x…

Q: Find the area of the region bounded by the given curve: r = 3eº 2 on the intervalπ ≤ 0 ≤ 2π. 3″

A: Concept let r = f( θ ) θ1 ≤ θ ≤ θ2then area bounded by the curve A = 12∫r dθ

Q: Find T, N and B for the curve F(t) = (5 cos(4t), 5 sin(4t), 3t) at the point t = 0 Give your answers…

A: We need to find tangent, normal, binormal vectors.

Q: The cartesian equation of the curve given parametrically by x = cosht, y = cosh2t is ? O a) y = 2x²…

A: Given that x=cosht and y=cosh2t

Q: A forest fire is found at midnight. It covers 1100 acres then. It is spreading at a rate of f(t) =…

A:

Q: 2) Given that tan o= 3 where & is quadrant III 0 9 find seco b) Given that csc o² = -9 where of is…

A:

Q: the gr f(x, y) = x + 4y; R is bounded by x = 0, x = 2, y = 0, and y = x

A:

Q: Activity 3.4.3. A hiker starting at a point P on a straight road walks east towards point Q, which…

A: We need to choose correct option.

Q: Giving that f(x) = 4x + 4 3 Find: a) F(3) b) f(-5) c) F (-2) J) F (1) e) f (0) 2 X 3 -3≤x≤0 X>0

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: Solve for x in In(x+3)=5. Give an exact answer only. Write "no solution" if necessary. As always, be…

A:

Q: Evaluate 15 C3.

A:

Q: Find the value of k that makes the antidifferentiation formula true. Give your answer as a fraction…

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: Suppose that a particle moves along a straight line with velocity v(t)=10−6t, where 0≤t≤1.5 (in…

A:

Q: Find dx for each of the following. 3 (a) y sin³x4 = (b) y + xy = 7

A:

Q: 8 3s²+12 + 3 $²+49

A:

Q: Find the second derivative of the function. 8) s= +7+5t+3 ₁2

A:

Q: A patient's temperature is 101 degrees Fahrenheit and is changing at the rate of  t2 − 3t  degrees…

A:

Q: Find the angle , in radians, in the given right triangle. The length of the side adjacent to is 19…

A: To find the value of the angle θ

Q: forest fire is found at midnight. It covers 1100 acres then. It is spreading at a rate of f(t) = 5√t…

A: Topic:- application of integration

Q: . For the given triangle, find the exact value of all six trigonometric functions. Function sin 0…

A:

Q: Given f(x, y) = sin(x + y) where x = : s¹tº, y = 4s – 6t. Find f(x(s, t), y(s, t)) = ft(x(s, t),…

A:

Q: Use the fundamental identities and simplify the expression sin² x (cot² x + 1) to get a numerical…

A: Given sin2xcot2x+1

Q: 8. An application to mecanics A particule x(t) of mass 1kg is moving along an horizontal straight…

A:

Q: 1. Let b, c, d be real numbers, and let a be a nonzero real number. Consider the function f: R → R…

A:

Q: Integrate the indefinite integral. Se-2 da

A: ∫eaxdx=eaxa+c

Q: The volume of a certain cone for which the sum of its radius, r, an height is constant is given by…

A:

Q: 6) logg√3 7) log₁6 8) log4 8

A:

Q: Use the divergence theorem to write a triple integral that is equivalent to the flux integral F.ds,…

A: Divergence theorem

Q: Determine the area of the region bounded by y = Area = || 3x x3 and y=- on the interval [1,10].

A: We know on [1,3] 3/x >= x/3 and on [3,10] x/3>=3/x

Q: Find the area of the region of r= √2 + sin(theta) and r= 3sin(theta)

A:

Q: 3. 4. What is the angle in degrees? A. 30° B. 45° What is the complement of 45°? A. 45° B. 55° C.…

A:

Q: 1. (y-x+xy cotx) dx + xdy = 0

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: cost of maintaining a home generally increases as the home becomes older. Suppose that the…

A: Given query is to find the formula for total cost and the cost for 4 years.

Q: Given the points P(−2, 3) and Q(−2, −5), find the magnitude and direction of PQ. Provide your answer…

A:

Q: Given the following vectors, calculate 5u + 3v. Answer u = (7,0), v = (-8, 10)

A:

Q: Determine an equation for the level surface of g that would pass through the pointa: (-7, -2, 5).…

A: We need to find level surface.

Q: An election ballot asks voters to select four city commissioners from a group of twelve candidates.…

A: We have to find the number of ways that four commissioners are selected from a group of 12…

Q: Approximate the area under the curve y=x^3 from x=1 tox=4 using a Right Endpoint approximation with…

A:

Q: Determine the area of the region bounded by f(x)=√x and g(x) = x/2 on the interval [0,16]. Area =

A: The curves are given as , fx=x , gx=x2 Determine the area of the bounded region on 0,16.

Q: Find the length of the curve (t) = (4 cos(5t), 4 sin(5t), 5t) for -3 ≤ t ≤9 Give your answer to two…

A:

Q: Evaluate (2xy³ − y² cosx) dx + (1 – 2ysinx + 3x²y² )dy y² from (0,0) to (ñ/2, 1) along the parabola…

A: According to question,Given Integral,∫c2xy3-y2 cos x dx + 1-2y sin x + 3x2y2 dy

Q: Find the particular solution of a differential equation xdx – 4ydy = 0; y = 2 when x = 5.

A:

Q: Write the sum without sigma notation and evaluate it. 3 π 25) Σ 4 sin k k=1

A:

Q: Rewrite sin (a x + 11T 7) in terms of sina and cos x. Simplify your answer. 6 Enclose arguments of…

A: As we know that; The trigonometric identities: 1). sina+b=sinacosb+cosasinb 2). sinπ2-x=cosx 3).…

Q: Find the area between the curve f(x) = x² +15 and the x-axis from x = 2 to x = 6.

A: To find the area bounded by the given curve

Q: Given the following vectors, calculate 5u + 3v. |(7, 0), v = (-8, 10)

A: We need to perform the given algebraic operations on the vectors. The detailed solutions are…

Q: Suppose you are driving away from Morgantown. At noon, you are 75 miles away from Morgantown. From…

A:

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function.…

A:

Q: Evaluate the indefinite integral as an infinite series J Find the first five non-zero terms of…

A: