2 2. x = k +ct y = c²t²

Q: Please do numbers 3 and 5

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Q: Let f(x) = x (x² + 2)° and calculate S(x) dx by using integration by substitution. What was your sub...

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Q: 1 Solve the equation: 1 x + 3 1/4

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Q: The terminal side of an angle 0 in standard position lies on the line in the given quadrant. Find th...

A: Here, the given line is: y=-5x⇒yx=-51 So,  tan θ=yx=-51 (in II quadrant)⇒oppadj=51⇒opp=5, adj=1⇒hyp2...

Q: Find a vector b such that |b| = 1/2 that is parallel to a = but with opposite direction.

A: Given that: |b|=12a=<-6, 3, -2>

Q: Fill in the blanks with an appropriate word, phrase, or symbol(s). The set of numbers {0, 1, 2, 3, 4...

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Q: Given the function g(x)=−2cos x, calculate g′(7π6).

A: Given: gx=-2cosx   We know that, a·f'=a·f', where a is the constant. And The derivative of cosx is; ...

Q: (y? cos x - 3x2y - 2х) dx + (2y sin x - х3 + Iny) dy %3D 0, when x 3D 0, у %3D е

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Q: Setup an integral to find the surface area obtained by rotating the curve y = e about the line y = 1...

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Q: Assume sin(8) = 301 25 and 0 is in Quadrant III. Compute the other five trig functions for the angle...

A: We have to find all trigonometry function.

Q: ItcosX

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Q: Given that y" = 2x, find the value of y when x = 3 if the curve passes through the point (-1,); and ...

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Q: is Convergent divergent. Evalate Determine whether each integral convergent. or those that are In X

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Q: (b) If u = x² cos y+ye", where x = s+2t and y = st, prove that ди ди 2 = (s – 2t) (x siny– xye – e")...

A: u=x2cosy+yexyx=s+2ty=st

Q: (カナ) 2.

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Q: Let f(x) = and calculate x(In(x)) f(x) dx by using integration by substitution. What was your substi...

A: Given that: f(x)=1x(lnx)6

Q: A hole is drilled through the center of a sphere x2 + y? +z? = R², leaving a ring-shape solid. If th...

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Q: E Homework: Homework 5.4 Express as a single logarithm and, if possible, simplify. log a +4 log b lo...

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Q: SITUATION A. For the given DE, (xy+.x- 2y +3)dx +2(x*y – 2x- 2y)dy = 0 1. Solve for the partial of f...

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Q: Reduce the given system to echelon form to find a single solution X1 + 7x2 +3 x3 + 11 x4 = 0 2x1+ 7x...

A: T

Q: 10. There is a jump discontinuity at x = 1 and lim f(x) = 1 x →1-

A: There is a jump discontinuous at x=1 and limx→1-f(x)=1

Q: (c) Let f(x.y) = (x²+G))), Determine the directional derivative of f at the point (1,0) in the direc...

A:  f(x,y) = (x2 + (y/2))3 we have to determine the directional derivative of f at the point (1,0) in t...

Q: The value of a particular retirement account is A(t) = 26,200e0.03t dollars after t years. Compute A...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Part 1 of 2 A minute hand on a clock is 4 inches long. Determine how far the tip of the minute hand ...

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Q: (b) Explain why the integral e- *x* dx is convergent.

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Q: 3. Slope of a line fr a) Calculate the slope of the line shown in the table. b) f(x) -3 -12 -2 -5 -1...

A: (a) From given table

Q: solve for orthogonal trajectories y^2=4x^2(1-kx

A: For finding orthogonal Trajectories :step 1 : Let f(x,y,c)=0 be the equation of the given family of ...

Q: y= h(x) 2+ 1+ + -1 -2 1 2 -1 Identify all of the values of c for which h(c) is a local maximum of h....

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Q: In Problems 1-6, determine the largest interval (, b) jor which Theorem 1 guarantees the existence o...

A: NOTE: Refresh your page if you can't see any equations. . on the right-hand side, we have ​ here we...

Q: 33. For what values of x does the graph of f(x) = x +2 sin x have a horizontal tangent? %3D

A: We need to find values for which the function have horizontal tangent.

Q: Use a 45°-45° right triangle to find the exact value of the following trigonometric expression. cos ...

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the radius of the circle i...

Q: 3, 4, 5, 6, 7, 8, 2, 10 and 11 A vertical plate is submerged (or partially submerged) in water and h...

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Q: A helicopter is heading N 33° E (i.e. direction angle of 57°) with an airspeed of 17 mph, and the wi...

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Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1

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Q: (D²+1) y 4 see X . ニ

A: 1. We know, ∫secnxdx=n-2n-1∫secn-2xdx+secn-2xtanxn-1   Given differential equation, D2+1y=sec4x........

Q: Example 2: The position of a particle moving along a coordinate axis is given bys(t) = t° = 9t? + 24...

A: Given that: s(t)=t3-9t2+24t+4, t≥0

Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: We have to find the differential equations of the family of curve that

Q: Consider the following integral: dx I = Vx - x² a. Use the substitution u = x - ; to show that I = s...

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Q: 12) In Problems 12 through 14, given [ xa ]'= a xa-1, where a is any real exponent. =(x-1) =. Find A...

A: According to bartleby guidelines I can only answer the first question only question (12). Please rep...

Q: Calculate by using integration by substitution, sec? V5 (4) tan 17 dx What was your substitution? u ...

A: For the following problem,

Q: Explain why the integral e'dx is convergent.

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Q: Set up the definite integral that gives the area of the region. Y1 = x2 + 2x + 4 Y2 = 2x + 8 dx -2

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Q: 3\k-1 Determine whether the series E=1l-) 4 converges and if so, find its sum. 7/2 4/7 714 5/7

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Q: ckdown RODLL ND. Find the centroid (center of mass) of the top half of the unit circle. See the pict...

A: See the details solution in below

Q: A rectangular garden of area 480 square feet is to be surrounded on three sides by a brick wall cos...

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Q: A vulcanizing shop has a trapezoidal drum that is 5 meters long, 1.5 meter wide at the top, 1 meter ...

A: Given information:  length of the tank, L=5.0000mwidth of the tank at bottom, wB=1.0000mwidth of th...

Q: differential

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Q: Problem 2 Evaluate the integrals. (a) •1//2 4 dx 1/2 (b) V3/4 dx 1+16x2 (c) | tanh (x) dx (d)

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Q: Problem 4 Show that arcsinh(x) = sinh(x) = In (x+ V/x² +1). %3D int: Let y = sinh¬' (x). Then x = Iv...

A: Topic:-  trigonometry

Q: Find the the arc length of y = 3x² – 2 from x = 0 to x = 4 No decimal entries. Find the exact value....

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