Use the equation to find dy dx dy dx || | OF дх OF ду || | ㅠㅠ X 3ey sin(x) = x + xy

Q: Find two unit vectors that make an angle of 60° with  v = 3i + 4j.

A: We are required to find: Two unit vectors that make an angle of 60° with  v = 3i + 4j.

Q: _et f(x, y) = x+y+xy. Find f ₁² f(x, y)dxdy. Enter the exact numeric answer.)

A:

Q: Decide from the graph whether a limit exists. If a limit exists, find its value lim F(x) x→-2

A: If the limit exist then the left hand limit and right hand limit are equal

Q: (a) Let R > 5 and let CR be the closed, anticlockwise contour obtained by joining the line segment…

A:

Q: Evaluate the double integral (3.x - y) dA, where R is the region in the first quadrant enclosed by…

A:

Q: Which of the following is not a differential equation? d²y = 12 +2 O A. dt² O₂ B. O C. D. 4+y = 2x +…

A:

Q: Evaluate the integral. 6 (x + 1)(x² + 16) 6 (x + 1)(x² +16) dx -dx=

A:

Q: z³dz /4 – z²

A: To perform the indicated integration by using Rationalizing Fractions. ∫z3 dz4-z2

Q: 2x cos(x²) esin(x2-

A:

Q: f(x) = x² - 4 - 2 k-x X if x # 2 if x = 2

A: A function f(x) is continuous at x=2 if left hand limit and right hand limit and the function at x=2…

Q: Find the value of c that makes the function continuous at x = 0. 8x - 4 sin 2x 7x³ C= f(x) = X #0 X…

A:

Q: Use integration by parts to find the integral. (Use C for the constant of integration.) [x²1 x…

A: I=∫xnlnaxdxusing integration by parts, taking u=lnax  and…

Q: The parametric equations represents a line. Without eliminating the parameter, find the slope of the…

A: Given x = - 6t - 3 & y = 5t + 2

Q: X cos(x) dx?

A: ∫xcosxdx

Q: A volume is described as follows: 1. the base is the region bounded by = y² + 14y-5 and x = y² - 26y…

A: Given: x = -y^2 + 14 y - 5 x = y^2 - 26 y + 177

Q: Eliminate the parameter t to find a Cartesian equation in the form x = [x(t) 3t² ly(t) = 10 + 1t =…

A: x(t)=3t2.......(i) y(t)=-10+t......(ii)

Q: 2x cos(x²) esin(x²) dx

A:

Q: Determine the marginal profit for the sale of 500 units of the product if the cost function for…

A:

Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

A: Given : f(x)=1x+2 ; Q(2,-2)   To find : All points P such that the line is tangent to f & passes…

Q: (4) Suppose V(t) represents the volume (in gallons) of water in a tank at time t, where t is the…

A: Given: Suppose V(t) represents the volume (in gallons) of water in a tank at time t, where t is the…

Q: given fal = √√x-5 and 9(x) = x² + 4x + 2 Find Fog and g of

A:

Q: Let f(x, y, z) = xy³ + z and x = st³, y = st³, and z = = s²t². (a) Calculate the primary derivatives…

A:

Q: The region bounded by f(x) = -3x² + 18x + 81, x = ( volume of the solid of revolution. Find the…

A:

Q: A plane has parametric equations x = 2-s + 3t = 4 + 3s-t y z = -5 + 2t where s, t E R a) Find the…

A: We need to find the scalar equation of the plane from given parametric form and find the value of k.

Q: VIII. Find the equation of the plane with the given description. 1. Passing through P = (2,-1, 4), Q…

A:

Q: Find the indefinite integral. Hint: u = x - 1 implies x = u +1. x(x-1)dx

A:

Q: Sketch a graph of the function f(x) = 3sin x. Please state the range.

A:

Q: 2 Find the curvature of the parabola given by Y = X = = x ² a+ x=2 Sketch the circle of curvature at…

A:

Q: 57) Given: f(x) = ax³ + bx² + cx+d, f(2)=5, ƒ"(1)=-4, ƒ"(4)=12 When x = 1 the tangent line to f(x)…

A:

Q: Determine a definite integral that represents the area of the region enclosed by one petal of r = 4…

A: We have,      r = 4 sin (3θ)       a = 0

Q: Calculate the integral, if it converges. If it diverges, enter diverges for [= υ - dv= - your…

A:

Q: 1. Differentiate the following functions f(x)= f(x) = x² cos(x) a. b. f(x) = sin²(5x) c. f(x) = sinx…

A: The given functions, a) fx=x2cosxb) fx=sin25xc) fx=sinx cosx We have to find the derivative of each…

Q: Is the line x = -8-6t, y = −8+9t, z = -9t parallel to the plane 3x+y-z=9? Give reasons for your…

A: To find the dot product of given line and find the line is parallel or not.

Q: f(x, y) = 2e cos y, (a, b) = (0,7), and v = (5,3).

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: The decibel level of a sound is given by the equation D = 1010810 ( where / is the sound's intensity…

A: The Decibel level of a sound is given by the equation  D = 10log10( II0  )  I is the sound intensity…

Q: If a company has total costs C(x) = 40,000+ 15x + 0.2x2 and total revenues given by R(x) = 595x…

A:

Q: Find a parametrization of the line in which the planes x+2y + 6z= -1 and 2x + 3y +9z = -3 intersect.…

A: Solving the problem

Q: Suppose that f(x) = 4x³ + 5x² + 4. Using the Intermediate Value Theorem, for what values of N is…

A:

Q: Find a function f(x, y, z) such that V f = (8z, 4y³, 8x). (Use symbolic notation and fractions where…

A: Given that :-       ∇f=8z,4y3,8x  ⇒∇f=8zi^+4y3j^+8xk^  ....(1) Now we know that…

Q: Let F(x, y, z) = xi + yj + zk. Evaluate the integral of F along each of the following paths. (a)…

A:

Q: -1 Find f(x) for f(x) = 5 +6x. Enter the exact answer. Enclose numerators and denominators in…

A:

Q: 15. a) Find the limit. x²-9 lim x--3x²+2x-3 b)lim √25+h-5 h

A: (a) let H=limx→-3x2-9x2+2x-3

Q: If you want to earn 7% annual simple interest on an investment, how much should you pay for à note…

A: A = P (1 + rt) Where  A -  Accumulated amount              P -  Principal amount              r -…

Q: for fage 5 f(x)=(74³-t²45) (15t+4) f(x)= (x²1)(x²2) 6²3)

A:

Q: Suppose the demand function for a product is given by the function: D(q) = -0.02q+98 Find the…

A:

Q: Find the distance from the point to the line. P(1,9,9); x = 1+8t, y = 9 + 5t, z = 9 The distance is…

A:

Q: A ball of radius 16 has a round hole of radius 4 drilled through its center. Find the volume of the…

A:

Q: Without using symmetry, determine a definite integral that represents the area of the region…

A:

Q: Loan Duration 1 day 14 days 30 days Interest Owed $2.72 $37.88 $75.26 (a) Using the interest owed on…

A: Pri copal Amount P =$500 Loan duration t = 1 day Interest I = $2.72

Q: Find ve, where ||v|| = 11, e is a unit vector, and the angle between e and vis (Use symbolic…

A: v=11 ,e is unit vector and angle between e and v is 2π3