Find a polar x² + y² = 2y

Q: Find the derivative of the function by the limit process. g(t) = t³ + 6t g'(t) =

A: We can find the answer as below.

Q: Find the coefficient a of the term in the expansion of the binomial. Binomial (z³ - t)13 3 = Term…

A:

Q: Question 4 Find the gradient of the function at the given point. w = 2x - 4yz+z², (1, 1, −2) 21+…

A:

Q: Consider the following. - fx sec² t dt (a) Integrate to find F as a function of x. F(x) = F(x) = (b)…

A:

Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 10+ 0…

A: Given that, the function is 3x+4y=24. Rewrite the given function as follows,…

Q: Question d²2 y dx² Find dx² if -9x² - 5y² Provide your answer below: = = -3.

A:

Q: A company's marginal revenue function is MR(x) = 700x-¹ and its marginal cost function is MC(x) =…

A:

Q: Find the interval of convergence of the following power series. (x + 10) n η 8η 01-00,00) O(-18, -2]…

A:

Q: Question Given f(x) = 8x + 1, write a limit representing the derivative of f(x) at x = 1. Provide…

A:

Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 0- 0 3x + 4y…

A:

Q: Find the area of the region common to the circles r=-6 sin 9 and r= 3.

A: answer is in next step. please give a like !!

Q: 5. Use elementary Maclaurin series to find Maclaurin series for the following functions. (4) 5-1 X…

A:

Q: Find the specified nth term in the expansion of the binomial. (x - y)², n = 2

A: We need to find nth term.

Q: Sketch the curve represented by the parametric equations Lindices Orientation of the curve), and…

A: Topic :- function

Q: A trapezoidal plate with height h and bases a and 2a is submerged vertically in water as shown.…

A:

Q: b\ State and prove the theorem of these questions below, for each given functions find the value of…

A: answer is in next step.   as per guideline i can answer only one question .

Q: find dy/dx by implicit differentiation sqrt(xy)=10x+4y^2

A:

Q: Given the equation below, find y = dy dr dy da Now, find the equation of the tangent line to the…

A:

Q: Find a degree 3 polynomial that has zeros -3, 2 and 5 and in which the coefficient of ² is - 12. The…

A:

Q: There is no solution, {}. O The exact solution set is x2

A:

Q: Highway engineers design a parabolic curve for an entrance ramp from a straight street to an…

A:

Q: Express the polar coordinates 4, 5₁ 3 in Cartesian coordinates. What is the point in rectangular…

A:

Q: sider the critical value = 3 obtained from a completely continuous function. We find that 0) = -1…

A: Topic:- function

Q: A kite 100 ft above the ground moves horizontally at a speed of 6 ft/s. At what rate (in rad/s) is…

A:

Q: Use a definite integral to find the area under the curve between the given x-values. f(x) = ex from…

A: Topic- Area using definite integral

Q: Find the average value of the function f(x) = 2x sin(x²) on the interval [0, √π]. 02 4 — 2 NLE π √T

A:

Q: à + 2b

A:

Q: A particle moves along a line with a velocity v(t) = -t+1, measured in meters per second. Find the…

A:

Q: Find the standard form of the equation of the ellipse with the given characteristics. y 10 2 N 4…

A:

Q: Find the inverse Laplace transform of the given function. 7! (s — 5)8 NOTE: Express your answer in…

A: The give Laplace transform is Fs=7!s-58

Q: Hello! Can I get help answering question #2. Please show all work as well. Thanks.

A: Topic:- definite integration

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

A:

Q: Given the scalar function f(x,y)=2xy,calculate the line integral along the ellipse curve from point…

A: Given data:- The given curve is, x29+y24=1 The given scaler function is, f(x,y)=2xy t E 0,π/2

Q: World consumption of a certain metal is running at the rate of 352e0.02t thousand metric tons per…

A:

Q: A shopkeeper orders 30 pounds of cashews and peanuts. If the amount of cashews he orders is 20…

A:

Q: Find the inverse Laplace transform L¯¹{F(s)} of the given functio 5s² - 10s + 50 s(s² +25) Your…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile…

A:

Q: Question Given f(x)=√x+8, find f'(-7) using the definition of a derivative. Provide your answer…

A:

Q: y=(5x + 1)(√6x-1)

A:

Q: 2. The slope of the tangent to a curve at any point (x, y) on the curve is. Find the equation of the…

A:

Q: 45-50. Approximating real numbers Use an appropriate Taylor se- ries to find the first four nonzero…

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A:

Q: Find the average value of the function on the given interval. ) = ¹ on [1, 5] X f(x) =

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 1. (²4. -9CK) lim + sin(4t)…

A: Given, limt→ 0e7ti+sin4t4tj+e-9tk

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: To find the given limit using l'Hospital's rule. limx→0+sin(x) ln (9x) Here, the function is of the…

Q: II) Solve the following equations. 3) cot ¹(1-2)-tan-¹(x)= TT

A: Given data÷   cot-11-x-tan-1x=π4   Useful formula   cot-1x=π2-tan-1x So, cot-11-x=π2-tan-11-x

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A:

Q: T 45-50. Binomial series a. Find the first four nonzero terms of the binomial series centered at 0…

A: 49. The given function fx=1+x-23

Q: Find a formula for the nth term of the arithmetic sequence. 8₁ = -3, 85 21

A:

Q: State the coordinates of the intercepts, stationary points, and the inflection point of p(x) = (x +…

A: We need to choose correct option.