Find the sum of the series. n = 0 7(-1)^2n + 1 22n + 1(2n + 1)! X

Q: Given the differential equation x²y' = 15 and y (0) = 2, what is C'? Do not include C = out of your…

A:

Q: Which of the following statements is TRUE about the function 1 +1 1463 f(x,y)=(x+2)(2x+3y+1)

A:

Q: Consider two functions f(x) and g(x), and such that fˆ−1 (x) = g(x) Must it also be true that…

A: To explain that if f-1x=gx then g-1x=fx is true or not.

Q: r(t)=√√√5 +ti+√5-tj A) t > 5 B) t≥ 5 C) It <5 D) It ≥ 5

A:

Q: ·[F. dr where F = (-2, -3y,0), and C' is given by F(t) = (t, sin(t), cos(t)), 0≤t≤ñ Evaluate

A:

Q: ime t is given by a = t and the radius of curvature at time t is

A: Tangential component aT=v'(t) Normal Component aN=1ρ(v(t) )2   Given question  aN=t1ρ(v(t))2=t…

Q: Which of the following functions could make the graph of: -8 -4 42 18 16 14 12 10 -2 f(x) = 2x39x² +…

A: Given graph

Q: Let f(x) = 6 + 4x². (a) Estimate the area under the graph of f, the x-axis, and the lines x = -1 and…

A: Estimate the area under the graph of f(x)=6+4x2 from x=-1 to x=2

Q: . Find the equation of the tangent line to the curve y=(2x² − 3x)(4x³ + x− 1) at x = 2.

A: The equation of the curve y=2x2-3x4x3+x-1 At x=2, y=0.060606 The equation of the tangent to the…

Q: Evaluate the indefinite integral as an infinite series. 7 / ex-x1 dx 4x 00 n = 1 X ) + c

A:

Q: 24.  a. Eliminate the parameter and write an equation in rectangular coordinates. ? = 4 sin ? and ?…

A: The given polar coordinate system is:x=4 sinθ       and        y=-4 cosθ

Q: Find the first two non-zero terms of the Maclaurin series for f(x) = exp(1 + x²). -0.1 Use your…

A: The given function is:f(x)=e1+x2

Q: 1. The first term of a geometric series is 2. The sum of the first two terms is 7, and the sum of…

A:

Q: Find 4 A- 3B.

A: We know that the same order matrix addition or subtraction

Q: Let A and B be sets. Show that (A × B) ∩ (B × A) = (A ∩ B) × (A ∩ B).

A:

Q: Evaluate the following limi 1 9x² lim x² In 1-

A:

Q: O S, O 1533 S, = 2 O S₂ O S₂ = = 2. Given the following geometric series, find S. = 12+6+3+... 1533…

A: The given geometric series 12+6+3+....... We have to find the value of S9. Formula used: The sum of…

Q: If f(x) ƒ'(x) = f'(2) = 4 sin x 3 + cos x then

A: derivative

Q: You are given the four points in the plane A = (0,5), B= (5,-2), C=(8,5), and D=(12,-5). The graph…

A:

Q: dy If y = (t² + 2)² and t = x2, determine dx

A: As per the guidelines we are supposed to solve one question at a time. Please repost other questions…

Q: yy and y y. your answer, nswer with the positive expression. For example, if y = ±√√x+2, answer with…

A:

Q: arrange the values of m₁ = slope at A, m3 = m2 -2, slope at C, m4 = slope CD, as a set of…

A:

Q: Evaluate ay² ds where C'is the right half of the circle æ² + y² = 16

A:

Q: Evaluate ay² ds where C' is the right half of the circle a² + y² = 9

A: Parametrization of the equation of a circle÷ x=rcost and y=rsint From the equation of circle r=3…

Q: Find the compound amount and the amount of interest earned by the following deposit. $2,000 at 6.69%…

A: P (principal) = $2,000.00 r=6.69%     A = PertA = 2,000.00(2.71828)(0.0669)(6)A = $2,987.83

Q: the size of a bactiera populaation found in some food greows at a rate of p(t) =8000t/80+t^2 where t…

A: To find out the time when the bacteria population will be maximum.

Q: A hospital is located 3 miles west and 4 miles north of the center of town. Suppose that a Medi-Vac…

A: A hospital is located 3 miles west and 4 mi north of the center of town  The coordinates are (-3,4…

Q: Find the absolute maximum and absolute minimum values of f(x, y) = y² — x² over the region S:= {(x,…

A:

Q: 1. Find the partial derivatives with respect to x of the function xy² - 5y + 6. A. B. y² ²-5 C. D.…

A:

Q: 4. Let f (x)= x³ + 3x²-9x-7. (a) Use calculus to find all critical numbers for the function f. (b)…

A:

Q: 2. Find the derivative of each of the following. Simplify each answer to ensure no negative…

A: 2.Here we have to find the derivative using the product rule,i.e (uv)'=uv'+vu'Here the questions…

Q: 38 has 8 pieces of squa Using a pair of scissors, he cuts each piece in half (so the res

A:

Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = ze²yx F(x, y, z) =

A:

Q: Find the equation for conic that satisfies the given conditions. Conic:parabola Focus:(4,2)…

A:

Q: Solve this without using u-substitution

A:

Q: The consumption rate of electricity, in kW/h has increased, on average, at 7.6% per year. If it…

A: At=P1+rt⇒r=rate of interest ⇒P=initial amount ⇒t=time in years⇒At=Amount at time t

Q: Draw the region bounded by the curves. Then, find the volume when the region is rotated around the…

A: y=6x^2

Q: What factors determine the amount of interest earned on a fixed principal (such as a lump-sum…

A:

Q: decrease for your answer. y=300*x^(3) is greater than y=100*3^(x) when x=4

A:

Q: Find the simple interest. Principal Rate Time in Months $10000 6% 3 The simple interest is $ (Round…

A:

Q: 5. Use Green's Theorem to find the outward flux of the radial field F = (x, y) through the boundary…

A: We have given a radial field F.

Q: answer #2

A: gx=ln4-x TheTyalor polynomial of fourth order at…

Q: r(t) = (e-cos t)i + (esin t)j + 5ek, –ln 2 ≤ t ≤ 0 35 √23 B) 4 2 A) 啞 2 D) 23 4

A:

Q: Find the interest. Principal $1350 Rate 7.5% The interest is $ (Round to the nearest cent.) Time in…

A: Given data

Q: Evaluate the integral = [[₁, F I= for the vector field as shown in F.dS F = zi+2yj-zk when S is the…

A:

Q: vic 5 for 5: Calculus AB Day 6 x AB3: Evaluate f(x) f'(x) AB2: Let G(x) = ef(x). Find G'(6). [²³xf…

A:

Q: Find the simple interest on this loan. Assume 365 days in a year. $5333 at 4%; loan made on August…

A:

Q: | 2. Find the slope and equation of the tangent line to the curve TT f(x) = sin sin (x) cos(x) at x…

A: To find the slope and equation of the tangent line to the curve. fx=sinsinx cosx at x=π3

Q: Find the center and radius of the sphere. x2 + y2 + z2 − 16y + 6z + 9 = 0

A:

Q: sinx = Σ(-1)" #=0 Cos X= tan Σ(1)", #=0 In(1+x) = (2n + 1)! 8 외 n = 0 2 (2n)! =X + =X • Σ(-1)" 2n +1…

A: