Which of the following integrals will yield In u+ C? A. SE B. S- x+1 D. S dx xdx C. S 2rdx = x+1 O Option A O Option B O Option C O Option D

Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: iz Let i denote the square root of –1. For the two complex numbers z = 3e 3 and w = 6e'3 find z. w.…

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Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y =…

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Q: The rectangular coordinates of a point are given. Plot the point. (-4/z, -4/2) y y 5 5 X -5 -5 -5 -5…

A: Here we will find the correct option and two sets ,

Q: I do not understand the process. The process here shows alot of 0ddxx's I am unsure if this is an…

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Q: -1 Differentiate y = sin (sec(4x?)). %3D 82 tan(4a?) sec(422) A. y' 1-sec2 4r2 8æ tan(42²) sec(4x²)…

A: We will find the derivative of the given function in the following step.

Q: Find the derivative of the function. Vs - 3 f(s) = Vs +3 %3D

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Q: Find the equation of the tangent and the equation of the normal to the curve y = x + + at the point…

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Q: Evaluate the following limits: (1) lim (V +1- V). x→+∞ |2² – 1| (z^ – 1+8^) (ii) lim x-1 x – 1 x<1

A: Limits

Q: 4: A- Solve the differential equation subjected to the condition y0)=1 dx

A: Firstly separate the variables and integrate on both sides and solve the differential equation.…

Q: e3 1 - Find lim

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: please answer number  2 and follow the format of sample solution (include the rules/techniques used)

A: Here we have to find the integral

Q: 3. Evaluate: lim -) x-0 (sinx

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Q: 8. For the function f(x) = x2 - 2, find: a) The slope of a tangent line at x = a.

A: To find the slope of tangent line at x=a.

Q: 6. Verify each of the following identities: cosx (a) 1-sinx = secx + tanx (b) 2sec²x + 1+sin 1-sinx…

A: As you have asked for question d only. So I am solving that only. Thank you.   sec(x)*cos(x)=1…

Q: Given that f(x) = x ² - 5x + 6, evaluate the function f(x+ h) – f(x). %3D

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Q: Bacteria are reproducing in concentric rings in a petri dish. The circular area occupied by the…

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Q: long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the timme in which investment gets double.

Q: (d) In(2x - 3) + In(x) – In(x + 1) = 0

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Q: Evaluate the definite integral. et dx J1 xyln x

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Q: a) ): Explam why the following series Σ (-1)"-1 1+ n3 n=1 is Alternating. b) Use the Alternating…

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Q: Find the solution of each inequality in the interval [0, 27z). (Enter your answers using interval…

A: In the interval: [0, 2π)a)sin(x)≥0.5first and second quadrant.x≥π6,…

Q: Consider the curve given by y2=2+xy d.) Let x and y be functions of time t that are related by the…

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Q: The polar coordinates of a point are given. Plot the point. (4, 7/2) y y 10 10 5 (4, 7/2) (4, 7/2) X…

A: Given polar coordinate is (4 , π/2) We have to find the rectangular co-ordinates.

Q: L, V4 – x²dx.

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Q: Plane travels for 9.5 hours on two-way trip between location A and B. The Plane can fly at 320 km/h…

A: Plane travels for 9.5 hours on two-way trip between location A and B. The Plane can fly at 320 km/h…

Q: (5) Suppose m and bare constants. What is the linearization of the function f(x) = mx +b at any…

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Q: please can you also answer number 3.

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Q: 12 - r), 2. Suppose f(r) = {0, if r> 2 if r = 2 |4 – 2*|, if r < 2. if r< 2. (a) Find lim f(z). +2+…

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Q: Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y"…

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Q: The

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Q: The velocity of an object moving along a line is given by v = 3t2 + 1 ft/s on the interval 0sts4. a.…

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Q: 1 dx 3vx

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Q: -31+2ア-K and ミー-^ -4 +3k in component form. 9ミ-2? +-yk delermine -マ-5+42

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Q: culate the value of (100°)' × [10-7 x (0.1)* ] ". . Give answer as a power of 100.

A: Topic:-  simplification

Q: Solve the equation 3sin2x+sinx+8=9cos2x for −180∘≤x≤180∘, giving your answer correct to 2 decimal…

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Q: O Question 17 Evaluate the integral dx (7x2 + 1) by making the appropriate substitution: dx = (7x2 +…

A: Solving

Q: For the points P, (8,3,2) and P2(9,4,3), find the direction of P, P, and the midpoint of line…

A: Coordinate of P1 is (8,3,2) Coordinate of P2 is (9,4,3) We have to find the mid point and the…

Q: Which of the following series is convergent? Select one: 3n 4n 2n + 1 n=1 3n 3n 2n + 6 n=1 2n 2n 6n…

A: In all the given series you can use the Root Test, that is to find: limn→∞ann if that is less than 1…

Q: Evaluate the indefinite integral: tan(0) cos(0) c

A: Given: ∫tan2θcosθdθ

Q: how did you find the root zeros

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Q: You wish to determine how much should be deposited in an account paying 7.4% interest compounded…

A: This question can be solved using the concept of compound interest when interest is compounded…

Q: A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is…

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Q: 2x e d.x 4e2 – 8e" + 5

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Q: -2 is a critical number of the function - Vir - f(x) = 2x x2. Select one: True False

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Q: Question 22 Evaluate the integral, using substitution if necessary. tan(22 )dar, + C

A: To evaluate: I=∫tan(2x) dx Substitute 2x=t⇒2dx=dt⇒dx=12dt: I=∫tan tdt2=12∫sin tcos tdt

Q: 7 - 3 - | 87 23 Find the eigenvectors of the given matrix: 土 i

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Q: For the function x-3 f(x) = 2x +5 etermine coordinates of the y-intercept of the inverse function…

A: We can find the coordinate of y-intercept inverse function as below.

Q: Consider the function f(x) = x2 -1 %3D (a) Find the intercepts of the graph of f (if any). (b) Find…

A: The given function is: f(x)=xx2-1