Find an equation of the curve that passes through the point  (0, 2)  and whose slope at  (x, y)  is  x y

Q: 4. (x² + y² + x) dx + xycy = 0

A:

Q: Let z(x, y) = x³y where x = Calculate da dt = t³ & y = 1⁹. = dz dx dy by first finding & and using…

A:

Q: 1. When you swim underwater, the pressure in your ears depends on the depth at which you are…

A:

Q: 3. For Z= xtanxy,evaluate Zyy

A:

Q: er Derivatives 2.) What is d² y dx² Period when y=cos(2x³)

A: 4) The given function is; f(x)=lnx, x=3.

Q: Test each of the following equations for exactness and solve the equation. The equations that are…

A:

Q: A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base…

A: Given that side of the square =90 ft.runs with the speed =27 ft/s.Solution :the distance covered by…

Q: Given the function h (x) = 9x¹ 9x¹ - x² A) Factor: h(x)= [Select] B) Determine the real zeros:…

A: Need to find out the factors and also the real solutions.

Q: Find the following for the given equation. r(t) = (e-t, 5t², 7 tan(t)) (a) r(t) (b) r"(t) = (c) Find…

A: Given: rt = e-t, 5t2, 7 tan t To find: r't , r''t and r'(t)·r''t We know that  ddxex = ex ; ddxtanx…

Q: Answer is incorrect

A:

Q: dy Find for the equation ex+y² = x. dx 3-x [A] [B] ³ xy 1-x 2xy [C] 1-2x xy [D] 2-x 2xy+e [E] 1-x xy

A: Concept: The formulas used: ddxxn=nxn-1ddxln(x)=1xln(ab)=bln(a)

Q: Find the equation of tangent xªy-xy²= line to 1=-2 at (-1,41)

A: The given equation is; x4y-xy3=-2, (-1,-1).

Q: Find the Linearization L(x) of the function at a. b) f(x)=e^x+1 , a=0.

A: To find the Linearization Lx of the following function at 'a'.fx=ex+1, a=0

Q: The graph of a quadratic function with vertex (4, -4) is shown in the figure below. Find the domain…

A: Given query is to find domain and range of the function.

Q: (b) Find the 243rd derivative of f(x) = sin(3x) 3

A:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. IRL -144 yz dx dz dy =

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

Q: if cos A=-0.12 then what is the value of sin(90-A)? the exact value of cot-7pi/6 and sin4pi/3?

A:

Q: Test each of the following equations for exactness and solve the equation. The equations that are…

A: Use exact equation method

Q: Question Let h(x) = f(x) g(x)' g(x) = 4x − 3. What is h'(x)? = Select the correct answer below:…

A:

Q: If y satisfies dy dx 2xex², = then (a) y(In e) = (b) y(In e²) = y (0) = 1,

A:

Q: When using the - definition of limit to prove lim f(x) = L, you must show that for every x→a € > 0,…

A: We need to choose correct option.

Q: Let the graph of f(x) be given below. Find the formula of f(x), a polynomial function, of least…

A:

Q: 5. y' = d+

A:

Q: Find the local min, local max, and saddle points of the surfaces z = f(x,y) for the below function:…

A:

Q: Examine the function for relative extrema. f(x, y) = |x + y| − 5 (x, y, z) =

A: The given function is  f(x, y)=x-y-5

Q: e. A manufacturer determines that when x (THOUSAND) units of a particular commodity are produced,…

A:

Q: 1. Let x₁0 for all ne N. (a) If xn0, prove that √x -0. (b) If xn →x, prove that √√√√x.

A:

Q: Suppose the position of a moving car after t seconds is given by the equation s(t) = t³ − t² + 2 on…

A:

Q: the Wa Salve the... Following.. ......3x³6xy Ax (3x²+2 y.).dy. =a ... ... ... ... ..x 2y.). dy...…

A: Note :- As you want only integrating factor for both question so i am only finding this not complete…

Q: Let-202²-11zy + 3y²-672-36y - 39 = 0. dy Use partial derivatives to calculate at the point (-3,-2).…

A: Derivate the given equation with respect to x and then put the given point.

Q: The integral in this exercise converges. Evaluate the integral without using a table. -7 S -7 ∞ 72…

A:

Q: A ball is thrown into the air and its position is given by h(t) = - 7.3t² + 73t + 11 where h is the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Solve 4X 64 X+3 16 Solution set =

A:

Q: Find the general form of the quadratic function that has a vertex of (-4,-1) and a point on the…

A: Equation of quadratic function having vertex (-4,-1)

Q: determine the values of r for which  erx  satisfies the differential equation, we substitute  f(x)…

A: To determine the values of r for which the given function is a solution of the differential…

Q: Find the dimensions of a rectangular corral split into 2 pens of the same size producing the…

A:

Q: Q 5. Solve the following IVP. y" + 3y + 2y = g(t), y(0)=0 y' (0) = -2 2 g(t)= t t<6 6<t<10 t≥ 10

A:

Q: Let y = f(x) = = e -10x ¹+1 Find the equation y = T(x) of the tangent line of the inverse of fat (1,…

A: Given that , y=fx=e-10xx4+1 find the equation of the tangent line of inverse of f at 1,0.

Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: y 4 H…

A:

Q: use the appropriate compound interest formula to find the amount that will be in each account, given…

A: NOTE: Refresh your page if you can't see any equations. . P=27500 (invested amount) r=3.65%=0.0365…

Q: Find the f(t) = 1- cos 7t transform of the given function by 7 A F (S) - 2+49

A:

Q: The graph of f(x) = 4(x - 1)² - 4 is a parabola that opens upward ✔value of f. Need Help? Read It ✓…

A:

Q: If f(4) = 11, f'is continuous, and f(6) = Submit Answer fºt f'(x) dx = 19, what is the value of…

A:

Q: Use the graph to locate the absolute extrema (if they exist) of the function on the given interval.…

A:

Q: Consider g(y)=y4/4+1/8y2. (a) Find the derivative. (b) Find the expression for 1+[g′(y)]2. (c)…

A:

Q: Q= (a) Find the point that is a distance 0.1 from the point P = (5,6) in the direction of v = (1,…

A:

Q: Use differentials to approximate √3.99

A:

Q: How many local maxima does the function f(x) = 2x5 - 5x4 - 10x³ + 4 have? A] 4 [B] 3 [C] 0 [D] 2 [E]…

A:

Q: dz/dt is incorrect

A:

Q: The vertical displacement of a particle attached to a spring is governed by the following second…

A: NOTE: Refresh your page if you can't see any equations. . here we have   for the homogeneous…