7. Find d when 5x² +3x³y -3y³ = 44. Write an equation of the tangent line at the point (2,2).

Q: Which of the following series converge? cos(mm) η n I. Σ 2 n+2 n=1 (A) None (B) II only (C) III…

A: 1.  series divergence test

Q: If ƒ (x) +x5(ƒ (x) )² = 34 and f(1) = 2, then f'(1) =

A: Derivative

Q: Sketch the region of integration and evaluate by changing to polar coordinates: 10 1 1.⁰ [f For…

A: To find:- ∫510∫0fx1x2+y2dydx fx=10x-x2

Q: Suppose that a function f is analytic on the interval (1, 10). Suppose that another function g is…

A: Given  Suppose that a function f is analytic on the interval (1, 10). Suppose that another function…

Q: 5. Find the equation of the tangent line to the graph f(x)=(9-x²) at the point (1,4). Use a graphing…

A: Given: f(x)=(9-x2)23 at the point (1, 4)

Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

A:

Q: According to Newton's law of cooling, the rate at which an object's temperature changes is directly…

A:

Q: Σ27(x – - 1)³n+2 n=0 (Use symbolic notation and fractions where needed. Give your answers as…

A:

Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a…

A:

Q: a. Use the product rule to find the derivative of the given function. b. Find the derivative by…

A: Derivative

Q: By first computing the partial derivatives, find any points at which f(x, y) = 2x - x² − (y + 2)²…

A:

Q: Please answer this question asap I will rate you for sure. find integral of…

A: The solution is shown below-

Q: T Express the arc length of the curve y = tan (x) for 0 ≤ x ≤ as an integral (but do not evaluate).…

A:

Q: Find dy du du dx dy du du'dx = y=u 52 51 = 52u , and dy dx and u = 5x3 + 2x2

A:

Q: cutting

A: A fraction denotes part of a whole. For example: 23 denotes 2 parts out of total 3 parts.

Q: answer for D?

A:

Q: A jet is flying through a wind that is blowing with direction N 30° W. speed of 50 mi/h in the…

A: Velocity vectors÷ For wind  w→=50(sin30 i +cos30 j ) For jet  v→ =775(-sin30 i + cos30 j )

Q: Convert each exponential equation to the corresponding logarithmic equation.

A:

Q: Use 10th terms of Maclaurin Polynomial to estimate the value of 2 e²x 2x 1

A:

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

A:

Q: The desert temperature, H, oscillates daily between 36°F at 6am and 76°F at 6pm. (a) Write a…

A:

Q: Find the area of the region in the first quadrant (upper right quadrant) bounded by the curves y =…

A: To find the area of the region in the first quadrant (upper right quadrant)  bounded by the curves…

Q: The velocity, v m/s, of a particle at time t seconds is given by v = t³ - 3t² + 4t - 4 Show that the…

A: Given query is to show that acceleration can not be less than 1.

Q: Given f"(x)=8x-5 and f'(0) = 4 and f(0) = 3.

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A: Sequence

Q: Using separation of variables technique, solve the following differential equation with initial…

A:

Q: R 4.ry³ dA, where R = {(x,y) € R² | − 1 ≤ x ≤ 1, −2 ≤ y ≤ 2}

A:

Q: Which of the following differential equations is/are not separable? dy I. = dt X 1+t yt 11. y = 3xy…

A:

Q: Find the second order Taylor polynomial for f at (5,3) given by: f(x,y)=√√x + 4y - 1.

A: Please see the below picture for detailed solution.

Q: Problem 6. Evaluate the volume of the solid region above the paraboloid z = x² + y² and below the…

A:

Q: The slope of the tangent line of the curve defined implictly by x² - y = 4ey at the point (2,0) is m…

A:

Q: 5. Compute the derivative of f(x) - x³ (x-7) tan(x) √1-x (You do not have to simplify your answer.)

A:

Q: If f(x) (1)? = 2 x² + 3x x+1 " then what is

A: Given: f(x)=x2+3xx+1

Q: Producers' Surplus The manufacturer of a brand of mattresses will make x hundred units available in…

A:

Q: Differentiate the function. -3 f(x) = f'(x)=[ 3x +2 2x-4

A: To differentiate the following. fx=3x+22x-4-3

Q: 44 ♫f sin (y²) dydx 0 x

A:

Q: 1. Given the graph of f'(x) a. Where does f(x) have a maximum or relative minimum? b. Where does…

A: As per our guidelines we are advised to solve only first three subparts of the question.   Concave…

Q: State whether the following series is Convergent or Divergent. (-1)" √n + 1 Σ n=1 Absolutely…

A:

Q: For a sequence {a} satisfying п в U A U C F 4" an A) n=1 ∞ ΣΑ" an B) =1 O Σ6" an n=1 6⁰ an D) n=1…

A: Given that , an+1an→15

Q: Find the interval of convergence of the series. (5x)n 12" n=1 (Use symbolic notation and fractions…

A:

Q: 2. Find the equation of the line tangent to the graph of y=-³²e²x at x = 2

A:

Q: Which of the following series diverge? 2 k² +1 I. IM8 IMS IMS III. k=3 II. Σ k=2 (A) None k 6 (9)*…

A:

Q: Suppose a strange particle travels with a velocity (m/sec) of v(t) it has travelled, in seconds.…

A: velocity v(t)=1t+1 find the travel between t=1 and t=2

Q: (11) L -8 cos(x) dx.

A: Here is the solution:

Q: If 46 +3ƒ(x) + 5x²(ƒ(x))³ = 0 and ƒ(−1) = −2, find ƒ'(-1). f'(-1) = 0

A: Given46+3f(x)+5x2f(x)3=0f-1=-2   We are required to findf'(-1)

Q: Using the Intermediate Value Theorem, show for the function f (x) = x^3 − 4x^2 + 3 that f (x) = 0…

A:

Q: Find u v, uu, |v||2, (u v)v, and u. (3v). u = (2, -2, 4), v = (0, 7, 4) (a) 2 (b) 24 u. V UU (c)…

A:

Q: A farmer has 800 meters of wire fence with which to build two identical rectangular pens that share…

A:

Q: fn(z) = ². Determine the pointwise limit lim fn for x > 0 n-x

A:

Q: Consider the following. x = ln(t), y = 5√t, t≥1 (a) Eliminate the parameter to find a Cartesian…

A: graph