- f (x) = e¬² at c= 0

Q: Use Wallis' formula to evaluate ? cosxsin²xdx 2

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Q: Given f''(x) = 4x – 5 and f'(– 3) = 3 and f( – 3) = 6. Find f'(x) = and find f(3)

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Q: Find the interval of convergence. 00 (x + 6)" (n In(n))2 n=2 (Use symbolic notation and fractions…

A: limn→∞ an+1an <1limn→∞ (x+6)n+1(n ln n)2(n+1)ln(n+1)2 (x+6)n<1limn→∞ (x+6)n ln nn+1…

Q: 8. Find the value of x. a. 73 62 x' O 73 O 107 O 135 O 45

A: To find xo

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (8, 5)…

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Q: Give at least 3 examples of each type of matrices 3x3 and 4x4. 1. Idempotent Matrix

A: One example of 3x3 matrix is 123456789. One example of 4x4 matrix is 12345678912346789.

Q: Find sets of parametric equations and symmetric equations of the lihe that passes througn the given…

A: Here we have to find the sets of parametric equations and symmetric equations of the line that…

Q: tan(4x) lim x-→0 tan(5x)

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Q: e one Choose one e in the same plan

A: We have to choose one lie in the same plane or not

Q: Determine whether the plane passes through each point. x + 2y – 3z - 1 = 0 (a) (-4, 1, –1) O Yes O…

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Q: A colony of bacteria starts with 2000 individuals. The colony is exposed to a new penicillin-type…

A: Find your answer below

Q: Find the general solution of the differential equation y" + 3y' – 18y = -66t + 36t?. NOTE: Use t as…

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Q: Suppose the gradient of f (x, y) exists for all points in R2. Which ONE of these statements must be…

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Q: If f (z, y) — е"у, then fr (1, In (3)) —??? (а) е (b) e³ (с) 1/3 (а) 3 (е) 3ln (3)

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Q: dy Solve the following differential equation: x+ y = 4x dx

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Q: (л/2, 1) (5л/2, 1) 10 (зл/2, —1) (7л/2, —1) -6- (4, 4) -4 2 4 8 (2,0) (6, 0) -2-

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Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

A: This question is related to vectors, we will solve it solve it using given information.

Q: æ = 4;y = t-1»Y t² – 1|

A: Use the following derivative formulas:ddxxn=nxn-1ddxfxgx=ddxfxgx-ddxgxfxgx2ddx ( f(g(x) ) = f'…

Q: For t > 0, a particle moves in the xy-plane with position vector (x (t), y (t)), where x (t) = te-t…

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Q: 3. S

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 2Tx [e?n* + 23c] dx

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Q: The base of a three-dimensional figure is bound by the circle x2 + y? = 9. Vertical cross sections…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 27) (3 -) v = O parallel O…

A: u=2,27 v=32,-19

Q: 3x-4 1. Y= Arctan 4

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Q: Learning Task 1: Directions: Solve for y in terms of x (isolate y on one side of the equation and…

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Q: (5n Explain why the statement "if cos , then -1 COS is true or false.

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Q: ,x 1 Is the function k(x) = {x²-1 2,x = 1 continuous at x = 1?

A: We use L' hospital rule to find the limit.

Q: 16 2. A light at the top of a 16 ft. pole. A man 6 ft. tall walks away from the pole at a rate of 5…

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Q: 1. What is true about the behaviour of the function f(x)- from the right as x → 4x + 5 towards the…

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Q: lim n 4x3-4x+1 lim X→3 x-1 x²-6 lim X→-1 3x-1

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Q: 9. When all events are combined it is called union intersection area events 10.There are 71 grade,…

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Q: Bx Bんt2

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Q: Given u(t) = (e',e-t). a) Find: (i) u'(t) (ii) u"(t) b) Find the unit tangent

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Q: Consider the following planes. 3x + 2y - z = 42 x - 4y + 2z = 0 (a) Find the angle between the two…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(8), sin(0), 7) v = (sin(0),…

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Q: 1 for convergence, you can use the P-test. (You could also use the To test the series k3 k=1…

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Q: (2x – 3y +1)dx – (3x+2y-4)dy = 0

A: (2x-3y+1)dx-(3x+2y-4)=0The above differential equation is of the formMdx+Ndy=0where M=2x-3y+1    ,…

Q: Find minima, makima and Snddle paint for the functionss 4x-6xy+ 5y-20 x +26y +34 f (X,y) 6x²-2x 2 2…

A: To find the maxima, minima, and saddle point for the given functions.

Q: Direction: Find the first derivative of the following functions: 1. y = sin (2x) - cos (2x) 2. y =…

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Q: SOLVE THE FOLLOWING INDETERMINATE FORMS x' -x? - 8x +12 Lim 1. X→2 3x' -10x² +4x + 8

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Q: 4 1 |x²ydxdy 4. 2 0

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Q: Find the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane given…

A: Given

Q: and the y-axis. 2. Evaluate , 5x³ cos(y³) dA, where D is the region bounded by y = 2, y =:

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Suppose f''(r) = - 18z + 2, f'( – 1) = – 18, and f( – 1) = 1. Then f(r) =

A: See the answer below

Q: A function f is defined by f(x)=x' – 3x² – 24x , where xeR. (i) Find the coordinates of the…

A: Given that fx=x3-3x2-24xi  stationary points occurs…

Q: oup Discussion Problem: Figure 3-8n shows the graph of y = 2 + (x - 1) sin e function has a…

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Q: Find parametric equations for the line whose vector equation is given. (а) (т, у) 3 (6, —5) + t(1,…

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Q: Evaluate the directional derivative Duf (2, 3) if ƒ (x, y) = and u is the unit vector in the same…

A: Given problem:- Evaluate the directional derivative Duf(2, 3) if f(x, y) = x/(x2 - y) and u is the…

Q: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

A: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

Q: 3x+4x-2x+8 a) h(x)= b) g(x)= 5x" – 3x + 12x² +1 x*-16 HA HA VA VA SA SA 2x +7x-11 2-9 2x'-x + x-1 c)…

A: We have to use properties of asymptote to solve the problem