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

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Q: (4) (g) S 40t2 4t²+25 - dt S du = u-atan-¹"+C u² u²+a² (be sure to list the parameters: a,b,u,…

A: Given ∫40t24t2+25dt   And use ∫u2u2+a2=u-atan-1ua+C

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Q: Wha is the derivative of exp(22²)? ○ 4a exp(2x²) exp(2x²) 2x² - exp(22²) exp(4x) ○ 4x exp(4x) ○…

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Q: 7л Determine the exact value of cot 6

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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: Answer all of the questions below about the function f(x) graphed below when x = 5. 8 8 f -10…

A: Given Graph:-

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Q: 1. A 6 kg sign is suspended by two strings making angles with the ceiling as shown in the diagram.…

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Q: Consider the rational function f(x) = x²-x-6 x²+3x (i) Factorise the numerator and denominator. (ii)…

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Q: (iv). limit x-0 ²-1 - x - x ²³/₂2 - x² - x ²%/ e 6 x4

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Q: Determine it each of the following is absolutely convergent, Conditionally convergent, for…

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A: Given f(x)=1xa=1

Q: Given f''(x) = 5x - 2 and f'(-2) = Find f'(x) = and find f(1) - 4 and f(− 2) = 4.

A: Topic = Integration

Q: 4. Which of the following functions grows at the same rate as ex as x goes to infinity? ex+3 e3x e2x…

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A: Given ∑k=1∞coskπk

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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Q: 1. (x³ + xy²)y' = y³ Ssangen job10 2. (2x + y)dx= xdy 3. x³y' + x²y-y²= 2x4

A: Topic:- differential equation     Definition:- The order of a differential equation is defined to be…

Q: h. Use the second derivative to identify intervals where f(x) is concave up. (-0,3) X i. Use the…

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Q: Basic Level 1. The graph shows the total cost of making compact discs. 250 Namibian Dollars…

A: According to the graph :-cost of 0 compact disc=N$50 thousandscost of 5 thousands compact disc=N$80…

Q: 2. Captain Crunch wants his airplane to travel along a path that is [N60°W] with a groundspeed of…

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Q: у 3 2 1 -1- -2 -3 1 2 3 4 5 6 X

A: Here is the solution:

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: 150 5 -4 -2 100 50 -50 -100 -150 200! 2 4 6 8 Xx

A: We know that, The highest point the graph ever reaches is the absolute maximum. The lowest point the…

Q: Find the slope of the tangent line to the curve − 3x² – 1xy – 3y³ = at the point (-2, − 1). 11

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Q: 0 A = 2 -3 -1 B = -1 2 -2 −1 3 0 ³.0 - [ C 1 3 4 Use the above matrices to compute the following…

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Q: nd the radius of convergence, R, of the series. (x + 7)" 7n In(n) = n = 2 nd the interval, I, of…

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Q: -3 -2 -1 у 1 - 1 -2 -3 -4 -5- 1 2

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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: If f(x) = f'(x) = 4-3x7, find f'(x). Use exact values.

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Q: Evaluate the triple integral -3pi D x dV where E is the solid bounded by the paraboloid x = 6y² +…

A: Solution is given below:

Q: Calculate the length of arc of y = 2x/² for 0≤x≤1

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Q: Problem Set question: The position function for a falling objects is given by s (t) = -16t² + vot +…

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Q: Find lim Ax-0 f(x+1 + Ax) = f(x) - Ax f(x) = 3x². - 9x Step 1 Find f(x + Ax) by substituting x + Ax…

A: Given  f(x) = 3x2 - 9x

Q: Proceed to What I Know Chart for this part. 4) Activity 5: Check for Understanding (10 mins) ad of…

A: To verify if y=e-3x is a solution of given differential equation or not.

Q: lad Use Green's theorem to evaluate y² dx + 3xy dy, where c is the boundary of the semi annular…

A: Given Problem:- Use Green's theorem to evaluate ∮cy2dx+3xydy where c is the boundary of the semi…

Q: Let R be the shaded region bounded between the curves y = x^1/3 (equivalently y^3= x) and 4y =…

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Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

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Q: 2. Given the vectors à = (a₁, a₂, a3) and b=(b₁,b₂, b3) show that a × b = -b xã.

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Q: 12. How long will it take an investment that earns 17.6% annual interest, compounded continuously to…

A: Above quedtion is solved. Only one question is solved. Solving more than 1 question is against the…

Q: 4. Consider the function f(x) and its derivatives below: f(x)=2x²-11 Horizontal asymptote(s) f'(x)=…

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Q: B.Verify if a given function is a solution to a differential equation. 1 d²y dy 1x². +x=y= ln x dx²…

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Q: 18. y = 3x + 2 20

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Q: 2 94

A: according to question function is f(x)=x+4 x=1,2,3,4 f(1)=1+4=5 f(2)=2+4=6 f(3)=3+4=7

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A: Given: The depth function: D(t) = 2sinπ4t+5π4+5 Depth is changing at 6 a.m. t = 6

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

A: We have to find open intervals on which the graph is concave upward or concave downward

Q: d) Explain what happens to p't) for t greater than the value you found in part c. Give one reason…

A: p'(t) for t greater than the value of 10 becomes stable and reaches to a threshold value

Q: What is the derivative of log (x²)? ○ 2x-log(x²) 1 x² 2x O log(2x) O exp(2x)

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