The area under the curve y = 6x bounded by the lines z = 6 and x = 17 above the r - axis is = Square Units

Q: Suppose ƒ (x, y) = , P = (1, −1) and v = 2i – 2j. A. Find the gradient of f. Vƒ = Note: Your answers…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Graph the following in polar coordinates (a)  3<r<5,    2π/3≤θ≤4π/3  (b)   r=−8sin⁡θ , Label at…

A:

Q: Find the derivative y'(x) implicitly for the equation y' (x)= 9x+8 V = 2x + 1³.

A: The given equation 9x+8y=2x+y3 We have to find the derivative using implicit derivative.

Q: If lf Ŕ(t) = et cos tỉ – et sin tj Find the velocity and acceleration vectors.

A: To find the velocity and acceleration vectors for the given position function.

Q: Solve the following differential equations by separation of variables: y' = ²/² 4tdy= (y² + ty²)dt…

A:

Q: Assume that I and M are real numbers such that lim_f(x) = L and lim_g(x) = M. Let c be x→a x→a a…

A:

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r = 7 +…

A:

Q: lim f(x) = 2-1 x²+x-2 x²-1

A:

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: Write f(x)=3x^3-3x in terms of y

A:

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

A:

Q: H f(x) = 2x²+x-6 (a) Express fin standard form. f(x) = (b) Find its vertex and x- and y-intercept(s)…

A: We have to find out

Q: [3] Find dy for the curve given by: 4x -x²y³ = e5y +9y

A: We can find the derivative by using the implicit differentiation.

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: Do Not Round until final answer Use the appropriate interest formula to find the amount totale…

A:

Q: 25. y log(sin² x) =

A: NOTE: Refresh your page if you can't see any equations. . here the given logarithm is not a…

Q: When using integration by parts to evaluate the integral fx²e-²x dx and du pick u = that du = and v=…

A: Concept: To combine the end result of two or more functions, integration by parts is utilized. The…

Q: 2x^2-4x+1/4x^2+1 determine the limit of n----> infinity an

A: Given query is to find the limit of the expression.

Q: If y=xe, then find d" y dx"

A:

Q: b) f(x) = x³ x², [-1,3]

A:

Q: Give two other polar coordinate representations of the point, one with r 0. (r, 0) = = (smaller…

A: Topic - Cartesian coordinates to polar coordinates we are given x=-5 ,y=0we know…

Q: Calculate Duf( – 4, − 4, 1) in the direction of 7 = f(x, y, z) Round your answer to four decimal…

A:

Q: Let y=ln(x^2 +x+2).  a)  Find the critical number(s) of the function f(x). b) Find the absolute…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: sec²0-tan²0+ tan0 sec = sine + cos 0

A:

Q: The graph of a quadratic function with vertex (-2, -3) is shown in the figure below. Find the domain…

A:

Q: Find the domain of the following vector-valued functions. Š(t) = (tant, √4-t², =) 2+t

A: domain of tan t is 'all real numbers';   The domain of tan t is all real numbers except for…

Q: 2) Solve 2y" +5y' = 10, where y(0) = 1, y'(0) = 0. (hint: use integrating factor)

A: Given :solve 2y" + 5y' = 10 , where y(0) =1, y'(0) = 0

Q: e + ey (x,y) (0,0) cos x + sin y Evaluate the general limit lim

A: L=lim(x,y)→(0,0)ex+eycosx+siny Since the limit to be found is as x  y approaches 0, substitute x=0…

Q: Find the equation for a polynomial f(x) that satisfies the following: Degree 3 ■ Zero at x = -2 ■…

A:

Q: Assume that f (x) is differentiable functions for all x. Find the derivative of h(x) = x³. f(x).

A: Given that fx is differentiable function and hx=x3·fx We have to find the derivative of hx.

Q: Solution set?

A:

Q: 2. In(2x² + y); x = √i, y = 12/3

A: Need to find out the derivative.

Q: dz/dt is incorrect

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: Basis: Find a basis of the subspace of R³ defined by the equation - 8x₁ +9x₂ - 8x3 = 0.

A: NOTE: Refresh your page if you can't see any equations. . now we need to solve this equation for x1…

Q: Determine R³(t) if R²' (t) = <2e²+-41, +/= 1+1) and R (2) = <3, -5,0).

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

A:

Q: 7. Let f(x, y) = 2, where x = 2 cos u and y = 3 sin v. Find fu(x, y) and f(x, y) and y exprees them…

A:

Q: Perform one step of row reduction, in order to calculate the values for x and y by back…

A:

Q: 18,000 invested compounded for 6 years at 4% interest. How do I figure out the annual and semi…

A: 18,000 invested compounded for 6 years at 4% interest. To determine the annual and semi annual…

Q: Use the matrices below to perform matrix multiplication. B = 27 3] 14 -10 0 12 || |- 4 -3 5 10 6 8

A: Number of  column in B =3 = Number of Row  in   C  so, matrix multiplication is possible

Q: A current state has a population of 3500. With the rate of 0.23/year, what will be the population…

A:

Q: Solve, y" + 2y + 5y = 4e¹cos2t when y(0) = 0 and y'(0) = 0 O y te^-tcos2t Oy= te^tsin2t Oy=…

A:

Q: Select the correct answer below: 6x² ln x-3x²+3 2 x ln² x 2

A:

Q: Calculate directional derivatives and gradients in three dimensions. Find an equation for the…

A:

Q: Find the Inverse Laplace Transform of (2s - 5)/(s² + 2s + 10) O 2e^tcos3t - (7/3)e^-tsin3t) O…

A:

Q: 3. Rewrite the logarithmic equation log416 = as an exponential equation. 4. Rewrite the exponential…

A:

Q: Question 1 Find the transform of the given function by use of a table. f(t) = cos -4t-sin-4t (A)…

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)