9. What is the maximum value of the parabola shown ? -4- 2- 0 --2- 2 a) y = 5 b) x = 3 c) y = 3 d) none of the above

Q: Given an, if limn→∞o an = 0 then the series 1 ∞ O diverges O converges O inconclusive O None of the…

A: series

Q: The graph of g' is given below: W Notice this is the graph of the derivative of g not the graph of g…

A: Observe the given graph and answer the each part.

Q: -) 5cos(x +40°) - 3.6 = 0

A:

Q: Use summation properties and formulas to rewrite and evaluate the sum. 31 Σ [(3i)² – 6i] - i=1

A:

Q: 7rer dr =

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Q: S By an appropriate trigonometric substitution, S: I 1 √10 sin 0 cos² Ode Cos 0 10 sin 0 -do |…

A: Here we will use Trignometric sunstitution for given integral.

Q: A particle moves along the x-axis so that its position at time 0 ≤ t ≤ 18 is given by x(t), whose…

A:

Q: c) lim f(x), limf(x) y limf(x). -3 -2 -1 4 3 2 0 y = f(x) 2. 3

A: Check for the corresponding values where the graph is continuous and check for both sided graph…

Q: Express a = the limit lim Σ(4(x*)² – 3(x* )³) Aï; over [6, 7] as an integral. n→∞ i=1 Provide a, b…

A: The given limit limn→∞∑i=1∞4xi*2-3xi*3∆xi over the interval 6,7

Q: The infinite series Στη O series liner O p-series O geometric series O harmonic series n is a

A:

Q: Explain how the fundamental theorem of calculus relates integrals and derivatives. Formats T B T U…

A: Fundamental theorem of calculus relates integrals and derivatives.

Q: Find the particular solution of the differential equation satisfying the initial condition y(0) = 6.…

A:

Q: 1. Carbon 14 is a common form of carbon which decays over time. The initial amount of carbon 14…

A: Please see the below pictures for detailed solution.

Q: 49. y' + (-) x =) = xy²

A:

Q: 13. Find the intersection of [x, y, z]-[-8,-3,-5]+[1,2,-1] and [x, y, z]-[1.9.4]+s[2,1.7].

A: #13

Q: Given the curve shown below, determine if the slope of the curve at x = negative, or zero. 4 3 2 O…

A:

Q: Find dy/dx by implicit differentiation. xy + 2x + 2x2 = 3

A: Given, xy + 2x + 2x2 = 3

Q: Suppose that the position of a particle is given by s(t) = 4t³ + 5t +9. (a) Find the velocity at…

A:

Q: Find the velocity, acceleration, and speed of a particle with position function r(t) = (5 cos t,…

A: Given, r(t)=5 cos t, -3t, 5sin t

Q: 3. State the components of a unit vector that is perpendicular to the vector = (5,2,−1).

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) [1/(8 + x)]- (1/8) lim X→0 X -1/64

A:

Q: For the following equation, find Answer: dy da || y = -4x5 8x³ + x² +9x

A:

Q: A manufacturer can produce 2700 cell phones when a dollars is spent on labor and y dollars is spent…

A:

Q: Which one of these is a vector equation for a line in 2-space? y = 3x + 7 =(-2, 1,0) + s(-4, 2, 1) +…

A: Given ○y=3x+7○r→=-2, 1, 0+s-4, 2, 1+t1, -1, 2 s,t∈R○3x+4y+7=0○r→=2, 1+t-1, 3 t∈R

Q: Exercise. Find the curvat 1. R(t) = ti+t²j+t³k

A: R(t)=ti+t2j+t3k Curvature formula κ(t)=R'(t)×R''(t)R'(t)3

Q: 4) Differentiate each of the following: a) y = - cos²x c) f(0) = sin(20 — π) b) y = sin(20) - 2…

A: Differentiate the following  a) y=-cos2x b) y=sin2θ-2cos2θ c) fθ=-π2sin2θ-π

Q: Find the X-intercepts (x,y) and y-intercept (x,y) and the vertical and horizontal asymptotes.…

A: To use the given graph to find the answer of the given question.

Q: 10 f(x) 10 5 -10 10 X

A:

Q: 4. Solve the following equation by completing the square. Be sure to show all steps. (round answers…

A:

Q: 5) Calculate the area of the region between the curves: y = 2 = x² and y = x²

A: We can find the area as below.

Q: 5. Which of the following expresses √175 in simplest form ? a) 5√2 b) 5√7 c) 7√5 d) 9√5

A: Given that, the number is 175.

Q: 4 sin(x - 2) x→2 3 ln (3x – 5) Evaluate lim and write your answer in simplest form.

A: We can find the limit in the following steps.

Q: 5-4-3 2-1 10 9 8 7 6 5 1 y 4 32 3+ 2+ 1 2 234 3 4 5 -6 1 2 3 4 5 X

A: Please see the below picture for detailed solution.

Q: 1 1 X

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Q: The normal vector of x+2y-1-0 (0, 2) (2, -1) (1, 2) O (1, -1)

A:

Q: Determine the general solution of each of the following equations: (a) y" + 2y' + 5y = 3sin2x

A: a) Given:         y''+2y'+5y=3sin2x         5yx+2ddxyx+d2dx2yx=3sin2x This differential equation has…

Q: Solve the differential equation (2x + y) dx (4x + 2y − 1) dy = 0 O a. 5x 10y + In 10x 5y 2|= C O b.…

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Q: y = ln(4x³ + 7x)

A:

Q: 1 The length of the curve y = x³ + x¹ from x = 3 to x = 4 is: a. b. C. d. 145 16 257 12 99 8 593 48

A:

Q: 2) The region in the first quadrant bounded by y = x y = 2. Calculate the volume using the shell's…

A:

Q: फ 1/2 Determine the equation of the axis of the curve of the following trig function. ● a) y = -1 ©…

A: Please see the below picture for detailed solution.

Q: State the domain: -8 -6 -4 -2 4- 2- 0 --2- 2 4 6 8

A: Solving the problem by finding the value of the domain of the given graph.

Q: <X< 6 Submit Question 5 4 3+ 2+ -3 -2 -1 1 2 For the above rational function f(x) = 1 3 Q 17 2x²…

A:

Q: 8. Simplify 2√80-7√20 a) — 6√5 b) 90 c) 5√22 d) 22√5

A: Concept: Square root: The symbol for a number's square root is n. The outcome of multiplying or…

Q: 04115

A:

Q: Differentiate the following. Do Not Simplify. y=(sinx)(lnx)_ b) y=(e³+√cos x) c) y = º /1—tanx 3x³…

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Q: Consider the region R bounded by the functions f(x) = 3x and g(x) a. (4,2) b. (4,1) c. (22², ²) C.…

A: Region R is bounded by the functions f(x)=3x, g(x)=x2+2 Their intersection points…

Q: y = -x³ + 9x² - 3 concave upward concave downward Submit Answer x0

A:

Q: If f(x) = 1 and g(x)=x² +2, then go f may be expressed as x-2 g(f(x)) = axa +2ßx+y xa + Bx-ß Find a…

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Q: 7л Determine the exact value of cot 6

A: