. Determine the W3 fourth root of 16+16i in exponential form. COMPLETE THE MISSING THE BLANKS FOR THE FINAL ANSWER: e i

Q: Find the equation of the tangent line to the curve at the given point (4,57) y= x3-2x+1

A: Tangent line of a curve y=f(x) at a point (a,b) is given by, y-b=f'(a)(x-a) Where f'(a) is the slope…

Q: Find the general solution of the Differential Equation dy dx 4y x(y-3)

A:

Q: Find the area of the region enclosed by the graphs of 1 1 √1-9x²² NOTE: Enter the exact answer. Y…

A: Find the area

Q: Find the Solution to y"+6y' +9y = 0, y =3 y=1

A: Solution: y" +6y'+9y=0,  y(0)=3,  y'(0) =1 for an equation ay" +by' +cy =0 , assume a solution of…

Q: if x ≤ 1 if r> 1 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let…

A:

Q: A cup of coffee is removed from a microwave. Its initial temperature is 203 degrees. After exactly 9…

A:

Q: 4. A boat is pushed off from a beach at 2m/sec. A man on shore holds a rope, tied to the boat, at a…

A:

Q: Used the method of undetermined coefficient to find the general solution for the following…

A:

Q: Find the curvature of r(t) = (5t, t², t³) at the point (5, 1, 1). K=

A:

Q: Find f'(x) at the given value of x using the limit definition. (The limit as h approaches zero of…

A:

Q: A chemical reaction converts a certain chemical into another chemical, and the rate at which the…

A: Let's find amount present initially.

Q: 3. Find d² d02 sin Ꮎ (1 1+ cos 0 Simplify your answer.

A:

Q: (2xy-3x²) dx + (x ² + 2y) dy = 0

A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution…

Q: S+4 (s²+4s+8) 10. L-1 solve using inverse laplace

A: As we know the inverse Laplace transform identity;  1). L-1a·fs+b·gs=a·L-1fs+b·L-1gs 2).…

Q: 하금 Find au du dx and 좀 하 dy (a) yuand u = x2 +2 dy (b) y = us and u = 4x2-x + 6

A:

Q: e values ( Vinx dx using the I x Rom brook method where n=2 Equal (A) 0 - 64ाण Bo O 65806 06637…

A:

Q: 1. Determine the critical points (maxima, minima, and point of inflection) of the function y = x(x -…

A: The given function is: f(x)=y=x(x-6)2=x(x2-12x+36)=x3-12x2+36x

Q: From the information given, find the quadrant in which the terminal point determined by tt lies.…

A:

Q: What  is the equation of the circle with center (1,-5) and radius of 7?

A: As we know that; The standard equation of the circle is: x-h2+y-k2=r2 Where the Center is at h,k and…

Q: Evaluate lim h→0 cot(+h)-1 h

A:

Q: olve 2x-3y 4y + 3x¹ (c) y = 2 (d) (z-y)' + 3y -5x = 0. I need a clear answer by hand, not by…

A:

Q: If ƒ and g are continuous functions with ƒ(5) = 2 and, lim[2ƒ(x) − g(x)] = 5 find g(5)

A: Given:- limx→52fx-gx=5 and f5=2if f and g are continuous functions then need to find g5

Q: Find the integrals: 1- xdx A. -2/3 (1-x)3/2 B. 2/3 (1-x)3/2 + C C. -2/3 (1-x)3/2 + C D. -2/3…

A:

Q: The given function its partial fractions as follows: is expressed in terms of x² (1-x)(1+x²) ² A 1-x…

A: Given :x21-x1+x22=A1-x+Bx+C1+x2+Dx+E1+x22

Q: v = fb an V (x − 3)(x x= y₁²³-4y+3 чуте x = 3 X b 2₁₁ × [ f(x)] dx 29 x= 1x 2 y

A: v=2π∫13y(1+(y-2)2dy v=2π∫13y(1+y2-4y+4)dyv=2π∫13(y+y3-4y2+4y)dy

Q: (b) xy' - 4y = x, (c

A:

Q: Problem 3: Suppose an #1 for all n and lim an = 1. Given a positive ªn + a² + ... + ak − k an-1 Prob…

A:

Q: A truck starts off 180 miles directly east from the city of Hartville. It travels due south at a…

A:

Q: 5. y = sec(In x) 7. y = tan (ln(5x))

A:

Q: F(x)=7x1-9 and a.) f(q (1)) b. g (F(1)) c. f(g(x)) D. g (f(x)) e f ( t) g (t) g(x) = 7 (MJ.

A:

Q: Q3/ Use the l'Hopital's rule to find the limits 1-sine 3) lim 8-π/21+cos20

A:

Q: 5|x+7|+5>1/5 Interval notation and number line

A: NOTE: Refresh your page if you can't see any equations. . subtract 5 from both sides

Q: Provide a step-by-step but complete solution to this problem in Calculus.        Integrate dx/x…

A:

Q: 9 sine 2770 d²0 47⁰ [(@sos 1-1) but ] + [ ₁₂ (AP) m ² ] 7

A: Given; [M(L d(theta)/dt )2] + [Mg(L-L Cos(theta))].

Q: Consider the vectors: • V [2 1 -2] • w = [101] • π = [6 -3 -2] (a) Calculate projžū (b) Calculate…

A:

Q: The cost (in dollars) of producing x units of a certain commodity is C(x)=4,571 + 15x + 0.04x². Find…

A: The cost of producing x units is Cx=4,571+15x+0.04x2 We have to find instantaneous rate of change…

Q: 40 The sum of the reciprocals of two consecutive even integers is. Find the values of the integers.

A:

Q: 1. Eliminate the arbitrary constant. y² = 4C(x + C)

A:

Q: 2. Determine whether the following integral is convergent or divergent. If convergent, evaluate. 1…

A: Given query is to find integral converging or diverging.

Q: Find the particular solution of the DE below. 3. 3 ln x - sec y dx − 5x sin² y dy = 0; y(e³) y(e³) =…

A:

Q: 7. Assume that f is continuous and differentiable on (-xx, o0). Consider the interval (a, b) where a…

A: Concept Used: Extreme value theorem: A function must possess a maximum and a minimum if it is…

Q: The area of the top side of a piece of sheet metal given below. The sheet metal is submerged…

A:

Q: and the axis of the parabola.   ​f(x)=−​(x+3​)2       Question content area bottom left Part 1 The…

A:

Q: question 13. y' - 5y = 0, y(0) = 2

A: We have to find the solution of given differential equation.

Q: = Let the graph of a piecewise-defined function f, from x x = 6, be the figure below. Evaluate So…

A:

Q: Determine the rate of change of the function g(x, y) = y² tan(x − 2y + 4) 2) in the direction of the…

A: We need to find rate of change.

Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 ↑em

A:

Q: Evaluate fcos³ (42) sin(4x)da

A: here is the solution:

Q: Let f(x) = 5 x - 4 Evaluate the limit: lim f(x) x →4 = 40 x² - 16

A: We can find the limit as below.

Q: Is the following function homogenous or not? Prove your answer u = (x+y)¹/²

A: