Given the power series (x + 4)" n =0 n! Find the "Interval of Convergence" for the series. - 22 - 18 A 5 B X = - 4 -6 < x < -2 (D All Real Numbers 7 E 2 F) -5 < x < -3

Q: (2x² + 5, if x 5 Consider the function h(x) = Find the value of B such that h(x) is continuous at x…

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Q: Find the area of the given triangle. Round your answer to the nearest tenth. Do not round any…

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Q: Given two vectors ữ and i that form an angle of 60 degree when joined tail to tail. And given that |…

A: Let's find.

Q: Let f be integrable on [-a,a]. If f is an even function, then f(x)dx is equal to a -a 2 f(x)dx

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Q: sify whether f(x) is continuous or discontinuous at the point/s. If disco x – 2 x <-1 f(x) = { x² +…

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Q: Sketch the following function and classify the points of discontinuity. y = x for a -2 Input the…

A: Let's find.

Q: . Integrating factors found by inspection.: y(x² – y² +1)dx–x(x² – y² -1\dy = 0

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Q: 3. Evaluate the following series: 1 а. с. 4n n=1 11 1+ 2" b. d. 3n n=0 n=1

A: To find the sum of the given infinite series.

Q: e* cos (7e*) cos (4e*) dx Evaluate: --cos (3e*) -cos (11e*) + C (A 22 B 6 (3e*) +cos (11e") +c cos…

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Q: Evaluate the definite integral by choosing the appropriate substitution. You must show your work. 8T…

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Q: A pilot is flying over the ocean. He determines that the angles of depression to two ships are 54°…

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Q: dx 3. S7 ex – 49 4. fx² Cot-(x) dx

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Q: POPULATION DYNAMICS Assume that the population of the greater roadrunner in the Guadelope Desert was…

A: Given that: K=750, r=0.25. Initial population N0=250.   Population formula is = Nt=K1+K-N0N0e-rt.…

Q: Intermediate-Value Theorem from Intermediate-Zero Theorem? b. Right-Hand Continuity from Left-Hand…

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Q: The total revenue and total cost functions for manufacturing Items are: TR(q)=-5q²+80q and…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Using the FOUR-STEP RULE, find the derivative of y= tan(x) %3D

A: Given query is to find the derivative of the expression.

Q: How many man hours are required to load a freight car with 40 tons of product packaged in 100-lbs…

A: Total load=40 tons 1 ton in US=2,000lbs 40 tons=80,000lbs

Q: Which of the following is the general solution to the differential equation

A: Integrating factor of the differential equation of the form dydx+P(x)y=Q(x) is given by,I.F=e∫P(x)dx

Q: Which of the following is an infinite limit? lim f(x) = o lim x→f(x)x=a g(x) = c0 lim f(x) = a %3D…

A: we have to check which of the following is an infinite limit. we say that a limit of a function…

Q: For the function f(z) = 3x- 2x +2, f(r + h) - f(x) evaluate and simplify: 4: Find the value of the…

A: Here, f(x)=3x2-2x+2

Q: 9) Find the point on the line y = 3x - 4 that is closest to (2, 1).

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Q: ||r(t) × r"(t)|| ||r"(t)||* Use the formula k(t) to find k(t). r(t) = t°i + t°j K(t):

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Q: I'll

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Q: secotaned0 2sec0+3

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Q: Suppose S is a smooth surface parametrized by r(u, v) over D = [0, 1] x [0, 1] with ru = and rv = .…

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Q: Conics Find the equation of a parabola that has focus at (-4,0)and directrix x

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Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j NOTE: Enter the exact…

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Q: 2- find an equation for the line through P and perpendicular to L and find the distance from P to L…

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Q: Show Complete Solution. A particle moves according to the function f(t) = t³- 9t2 + 15t,t20, where t…

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Q: Consider the series -3+ 5" n=0 To determine if this series converges, you could use O Divergence…

A: To test the convergence of the series

Q: Compute for the net area bounded by y = 0.75x2 - 3x and the x-axis (note: 1 box/gridline equal to 1…

A: Here, form the given figure: A=∫04(0-(0.75x2-3x))dx=∫043x-0.75x2dx

Q: b. ƒ(x) = x² ln x + sec x; find f"(x). c. f(x)= x³ sin x; find f(4)(x).

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Q: Let ū and i are unit vectors such that the angle between them (when joined tail to ail) is 30°, then…

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Q: Given that f(x) = z"h(z) h( – 1) = 2 h'(– 1) = 5 Calculate f'(- 1).

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Q: 3. Determine the derivative of each of the following. a) y = e-*sinx b) y = 2* + 3* c) f(x) = xcos2x…

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Q: Find an equation of the plane that passes through the point P(4, 6, 3) and has the vector n = (1,6,…

A: I have stated the used formula in the solution.

Q: 8xー3x+x dx

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Q: Consider a triangle ABC like the one below. Suppose that B=122°, a= 29, and c=59. (The figure is not…

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Q: By substituting y=xv, solve the given differential equation, (2xy+ x²) dy = 3y² + 2xy with dx the…

A: The given DE is: 2xy+x2dydx=3y2+2xy⇒x22yx+1dydx=3y2+2xy⇒2yx+1dydx=3yx2+2yx⇒dydx=3yx2+2yx2yx+1

Q: Solve for the derivative of t y =2 V3-z Previous

A: This is a basic differentiation problem

Q: Pdz 214

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Q: tan zdr

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Q: Solve by integrating factors found by inspection: y (x2 - y2 + 1)dx - x (x2 - y2 - 1) dy = 0

A: To solve: y(x2 - y2 + 1)dx - x(x2 - y2 - 1)dy = 0 ⇒yx2 dx- y3 dx+ y dx - x3dy +xy2dy +xdy = 0

Q: Find the derivative of the function using y = sin3x using 4 step rule. a. b. Find the first…

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Q: х ах 13. S- (6х-x2-5)2 3

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Q: 5y+10=4y-10

A: 5y+10 = 4y-10 Now add 10 to both sides then we have, 5y+10+10 = 4y-10+10 5y+20 = 4y Now subtract 20…

Q: co sh?Ł

A: As we know,    cosht = exp(t)+exp(-t)2                  and               Laplace transform of ept =…

Q: O »(x) = Given the differential equation y' = 8x + 4 y' and y (0) = 1 and its next few implicit…

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Q: particle is moving with the given data. Find the position of the particle. a(t)= 2t+3 , s(0)=4 ,…

A: Given query is to find the position function.

Q: (1-2=) dr

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