Use the sum and difference identities to determine the exact value of the following expression. If the answer is undefined, write DNE. Answer sin115 cos65° + cos115˚ sin65° Keypad Keyboard Shortcuts

Q: Find the point on the sphere x2+y2+2²=100 that is farthest from the point (-14,15,-18).

A: Let farthest point on sphere px,y,z from point -14,15,-18By distance formula…

Q: Q9 10/4 Find the integral: 1 + cos² (x) cos²(x) dx. Show all your work.

A: let  G=∫0π41+cos2xcos2xdx

Q: Find the maximum for the profit function, P = 3x + 12y subject to the following constraints. x+y≤ 80…

A: We have to find the maximum profit

Q: the exact answer. 1 The area of a quarter circle is -πr²

A: Question is belongs to calculus with simple function .

Q: Evaluate A. 2/3 B. 4/3 */2 12 000 C. 1/3 D. 5/3 [zdz r²dr sinu du.

A:

Q: Find the general solution of the given system. -1 1 0 1 5 06-1 X(t) = X' = 1 X

A:

Q: Find the average value gave of the function g on the given interval. g(x)-2x. [1, 125]

A: To find the average value gave of the function g on the given interval. gx=2x3, 1, 125

Q: For the given function and values, find Af and df. (Round your answers to three decimal places.)…

A: Given function f( x , y ) = x2 + xy + y3x = 2 , ∆x = dx = 0.7y = 1 , ∆y = dy = -0.1

Q: Find the directional derivative of the function f(x, y) = ln (x+y³) at the point (-3,1) in the…

A: We need to find the directional derivative of the given function: fx, y=lnx4+y3 at point-3, 1 in the…

Q: Let f(0) = 2 cose for 0 ≤ 0 ≤ 2πt. Part A: At what value of 0 does f(0) reach a maximum? Part B:…

A:

Q: this problem, p is in dollars and x is the number of units. Find the producer's surplus at market…

A:

Q: Evaluate A. B. C. D. x/6 27T 363 35k 768 23T 765 12T 81 √(cos3AjºdA.. 1 Integrate 3x + 4 evaluate…

A: To evaluate ∫0π6cos3A8 dA. Note: Since the student has posted multiple questions and does not…

Q: The area under the graph of f over the interval [-3, 3] 15 ifx<1, f(x) = 5x², ifx ≥1

A: Integration is the process of finding the antiderivative function of the given function. When the…

Q: f(x) = x In x², (-1,0) (a) Find

A:

Q: • Assume that Supply has a quadratic relationship with the price. Find this relationship (the help…

A: Supply function ⇒Sp=-25.231p2+226.312p+309.470Demand function ⇒Dp=68.656p2-462.264p+1150.016Now…

Q: Let f(x, y) = -L²₁ fx(x, y) = fy(x, y) = 89 + 10 dt. Find f(x, y) and f(x, y).

A: The given integral equation is: f(x, y)=∫xy 89+t10 dt

Q: Solve the problem. A manufacturer determined that its marginal cost per unit produced is given by…

A:

Q: 2 3 ( - 1²/1 ) ² 3 lim 3 X→∞ x

A:

Q: A water well is 120 ft deep. A 120 ft cable weighing 30 lbs hangs down from the top of the well.…

A: SOLUTION:-   Given, A water well is 120 ft deep and a 120 ft cable weighing 30 lbs hangs down from…

Q: E. Transfer Function. Determine the Transfer Function of the following systems. 10) y"(t)- 2y' (t) =…

A: To determine the transfer function of the given system, we need to take the Laplace transform of…

Q: The parametric equations and parameter intervals for the motion of a particle in the xy-plane are…

A: The given parametric equations are  x= 3 cos(2t), y=3 sin(2t), 0≤t≤π2

Q: dz Find given: dt z = xe³y, x= t³, y = 3 + 6t dz dt 11 = Your answer should only involve the…

A:

Q: Graph the exponential function. f(x)=2((1)/(2))^(x) Plot five points on the oraph of the function,…

A: The given function fx=212x. We have to sketch the graph of the function.

Q: 12. Sketch the solid consisting of all points (p, 0, ) such that 0≤0</2, 0≤ ≤ 5/6 and 0≤p≤2 cos p.

A:

Q: 8. At each point (x, y) of a certain curve the slope is curve. 2log x y If the graph contains the…

A:

Q: Evaluate $ xy dx + x³dy, where C' is the rectangle with vertices (0,0), (3,0), (3,6), and (0,6)

A:

Q: Compute the coefficients for the Taylor series for the following function about the given point a…

A:

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A: t(s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v(ft/s) 0 6.7 11.2 15.5 18.8 19.8 20

Q: If the equation of the tangent plane to x²+y²-1372²=0 at (1,1,√2/137) is x+ay+Bz+y=0, then a+ß+y=

A:

Q: Find an equation of the set of all points equidistant from the points A(-1, 4, 3) and B(4, 2, -3).…

A: We use here distance formula,

Q: value C = rem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) =…

A:

Q: The diameter of each wheel of a bicycle is 26 inches.

A:

Q: COS X 2. Determine f'(x) for the function f(x) = e sinx.

A:

Q: Let f(x, y) = (xy - y) cos(y) x² - 2x + y² + 1 does not exist. Find the limit of f(x, y) as (x, y) →…

A: We need to find limit limit(x,y)-&gt;(1,0)f(x,y)=limit(x,y)-&gt;(1,0)(xy-y)cos(y)x2-2x+y2+1

Q: The stopping distance d (in feet) for a car traveling v mph when the driver has a reaction time of t…

A: The stopping distance d (in feet) for a car traveling v mph when the driver has a reaction time of t…

Q: A table of values is given below for the function g(x). -3 -2.5 -2.1 -2.01 -2.001 -2 -1.999 -1.99…

A: A table of values is given below for the function gx. -3 -2.5 -2.1 -2.01 -2.001 -2 -1.999 -1.99…

Q: The distance from the Sun to Earth is approximately 149,600,000 km. The distance form the Sun to…

A: Law of sines defines the ratio of sides of a triangle and their respective sine angles are…

Q: Graph the set of points whose polar coordinates satisfy the equation r= 11 and the inequality 0 ≤…

A: r=11

Q: For the function, find the second-order partials fxx, fxy, fyx, and fyy. f(x, y) = yex - x In(y) (a)…

A: For the given function, to find the second-order partials fxx, fxy, fyx, and fyy. fx, y=yex-x lny

Q: Find the inverse function of f. f(x) = log4(x - 2) f-¹(x) =

A:

Q: Given f(x) = 2x² - 1 and g(x) = 6 - 6-12x²2 find the following expressions. (a) (fog)(4) (b)…

A:

Q: 3) lim x-0 1 x+2 X 1 2

A:

Q: Find the area under one arch of the cycloid. x = 5a(t - sin t), y = 4a(1 - cost) The area is (Type…

A:

Q: 6. The numbers in the sequence defined by a₁ = 1, a₂ = 3, and an = an-1 + an-2 for n≥3 are referred…

A: We are give a sequence with general term defined as: an=an-1+an-2  for n≥3 Given terms a1 and a2, we…

Q: Q3: Determine for each of the following functions, Inflexion points, where f(x) is convex, concave,…

A: Note :- As per rules we answer only one question at a time. For other questions please repost again.…

Q: Find the equation of the exponential function represented by the table belo X 0 1 2 3 Y 0.1 0.05…

A:

Q: Solve this without using u substitution

A:

Q: 75 Find the arclength of the curve x = 5 cos (2t), y = 5 sin(2t) with 0 < t < 12 Submit Question

A:

Q: d) Let f be a continuous function. Then 1 [ S f(x,y) dady = f*f* f(x,y) dyda. 0

A:

Q: K Integrate. f5x² sin ( 5 ( - 13 x ² 5x sin (8x) dx = 5 x cos(8x)+ 1 256 (8xsin(8x)+cos(8x)) +C

A: Given data:- integrate ∫5x2 sin8x dx=5(-x2cos(8x)8 +1256[8xsin(8x)+cos(8x)])+C