Find the second derivative of the function. f(x) x x-2 f"(x):

Q: Which of the following is the solution to the differential equation dy = y³ce² that satisfies the…

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Q: Find the exact length of the curve. r(t) = (51, 3cos (1), 3sin (1)), -4≤1≤4 OA. 16√3 OB. 0 OC. 8/26…

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Q: Which of the following represents a possible equation for a sinusoidal function with an amplitude of…

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

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: A particle is moving along the curve having the vector equation R(t) = ti+t²j+ tk. Find the vectors…

A: The given position vector is  Rt=t i + t2 j + t k.   The velocity vector is given by Vt=R't=i+2t j…

Q: he limit (if it exists). (If an answer does not exist, enter DNE. Round your answer to four decimal…

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Q: Find the area under the curve y 7 x over the interval [1, 5]

A: Given curve y=7x

Q: Find the extrelne values of the function f(x,y)=4x2+ 7y2, on the circle x² + y²=1.

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Q: slope y-intercept Draw the graph. ● No Solution y=- — x Help -10 m = (x, y) = 88 x -3 -2 -1 10 0 8 7…

A: Graph

Q: Calculate r' (t) and T(t), where T'(t) = ( T(t) = { r(t) = (8+t, (9+t), 2+2t). ).

A: Given vector function r(t)=8+t, -9-t, 2+2t

Q: 7 Write a limit using summations that would equal S Answer: lim N→∞ n k=1 [x³ - 4] dx. Submi

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Q: The Maclaurin series of g(x) = sin (x) is

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Q: Exercise. Find the curvature and the radius of curvature at any point. 2. R(t) = e²¹i + (t²-1)j 90#-…

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Q: Test 8 2k √k for convergence

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Q: Evaluate the following integral using trigonometric substitution. 2 x dx 2 (49+x²)² S What…

A: Given ∫x2dx49+x22

Q: . Find the equation of the parabola with x-intercepts -7 and 3, and that 2, -11). Express your…

A: Given parabola has two x-intercepts, (-7, 0) and (3, 0). Clearly its either upward or downward…

Q: annat pe 4 panda 40 god = mode O xp (9 − xx + ₂x) J rester auf dienser og ressatur aut to conflittop…

A: ∫24x2+3x-6dx=∫24x2dx+3∫24xdx-6∫24dx

Q: Find the equation of the tangent line to y=−6/x^2 at x=−2. Write your answer in slope-intercept…

A: The equation of the curve is y = -6x2 To evaluate: The equation of the tangent line to the given…

Q: (i) Solve the following triangle. (You may need a calculator) C A 45° 105° N B

A: As per the guidelines, we must answer only one of the multiple questions given. Therefore, I answer…

Q: Given f''(x) = 3x + 3 and f'(-3) Find f'(x)= and find f(2) 1 and f(-3) = 5.

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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: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: The given integral is ∫x3-6x-4dx Integral formulas, ∫xndx=xn+1n+1+C∫dx=x+C

Q: The derivative of f(x)=- Select one: O a. O b. O C. O d. cos x-sin x x² x cos x -sin x X x cos x +…

A: The objective of the question is determine the derivative of the given function and choose the…

Q: QUESTION 10 Use cylindrical coordinates to evaluate the integral below. √x² + y²dv, where E is the…

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Q: Find f(x) such that • ff(x) dx = 1/√ √ x² + 4 + C

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Q: Cliff left point A at 8:00 A.M. walking east at 3 kph. Renz left point A at 9:00 A.M. walking north…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Concept: Concavity: if f''(x)>0 ∀ x∈R implies that f(x) is concave upward  And if f''(x)<0 ∀…

Q: (2xy + y) dx + x (x + 1) dy = (x² - 1)dx

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Q: A piece of cardboard measuring 10 inches by 8 inches is formed into an open-top box by cutting…

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Q: Find the indefinite integral and check the result by differentiation. COS X 1 - cos²x dx

A: Recall; sin2x+cos2x=1

Q: This

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Q: Evaluate I se sech¹0d0. 4

A: We have to find out integral

Q: 4) Find the equation of the line tangent to h(x) = (2-x)(x³ +4x-4) at x=1.

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Q: 5t 1+3t 2. Pumping stations deliver oil at the rate modeled by the function D, given by D(t)= with t…

A: Given the oil delivery rate,          D(t) = 5t/(1+3t)  gallons/hour  Here 't' is in hours. We can…

Q: If what does the following integral equal? 4 1₂ 3 h(v)dv= 9 [h(v)dv = 15 - 3 and 9 Ione h(v)dv= = =…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin(x) (cos(t²) + t)dt…

A: Given that , hx=∫-1sinxcost2+tdt h'x=?

Q: (iii) Find the total area of the following shape PQRS. (You may need a calculator) 7cm 12pt…

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

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Q: 10. Which of the following is FALSE about the parabola for the function f(x) = (x + 2)² − 6 a) The…

A: The given parabola function fx=23x+22-6 The general parabola equation y=ax-h2+k where, h,k be the…

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: The derivative of f(x)=sec x is Select one: a. sin x COS X O b. C. O d. sin ² x 2 COS .X sin x cos²x…

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Q: Find each limit, if it exists. 4- 8x 4x³-5 lim II

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Q: Use spherical coordinates to calculate the triple integral of f(x, y, z) = x2 + y + zz over the…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

A: The curve y=4x-6, for 52≤x≤92 rotated about y-axis we have to find the surface area of the solid

Q: y² = -25x 10- + the equation of the me focus is (Type an ordered pair. Type an integer or a…

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Q: Calculate (t) when k(t) = r(t) = (6t¯¹, 1, 6t)

A: r(t)=6t-1, 1, 6t Formula for  curvature κ(t)=r'(t)×r''(t)r'(t)3

Q: 2. What is the average rate of change between x = 2 and x = 3 for the function g(x) = 4(x + 1)² -5…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the area of the region enclosed by y = 3.25x and x = 3 - y². 2 Use horizontal strips to find…

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

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