Obtain the Maclaurin series expansion (up to 6 terms) and compact form of the function: f(x) = 2sinh x

Q: Solve the triangle below. Re 6. 37 R

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Q: 1. Find the limit of the following: ** - 11х* +37х* +6х' - 297х +621x - 405 x* - 11x* +47х* -114х* +...

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Q: x²+2 dx x+2

A: We can solve the integral as below.

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Functi...

A: Slope will be same and there will be 2 equations. 

Q: (2xy + 1)dx + (x² + 4y)dy = 0 (17) (18) (6xy + 2y² – 5)dx + (3x² + 4xy – 6)dy = 0

A: 17)   Given that 2xy+1dx+x2+4ydy=0  Here  M=2xy+1,       N= x2+4y Therefore     ∂M∂y=2x,            ...

Q: Question 23 Give the coordinates of the center of the circle with the equation x²– 6x + y²=12-4y. Bl...

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Q: faywyn = fæwwyy fææryy xyx xxxYy True False

A: Given :

Q: Find the partial fraction decomposition of the function. Write answer in simplest form. x² +x+1 a) f...

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Q: Solve in detailed solution A. Í (4x³+x) v4x²+1dx B. (x+2) Vx+3dx

A: Let I=∫(4x3+x)4x2+1dxI=∫x(4x2+1)4x2+1dxI=∫x(4x2+1)(4x2+1)1/2dx I=∫x(4x2+1)32dx Put (4x2+1)=udifferen...

Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the eq...

A: Given: V(t)=14550e-0.169t

Q: Find the point(s) on the parabola x =y closest to the point (0,3)

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Q: Suppose the sales tax rate of Pagadian City is 7% of the purchase price. If the price of the digital...

A: Topic:- parsentage   

Q: 7. Evaluate the integral I | sin(9.r² + 4y²)dA by hand, using an appropriate change of variables, wh...

A: The given question can be solved as shown in step2

Q: Question 4 The inventors of Calculus were Sir Isaac Newton and_ A Friedrich Gauss B) Gottfried Wilhe...

A: Carl Friedrich Gauss is known for his contributions to number theory, geometry, probability theory, ...

Q: Write the exponential equation in logarithmic form. For example, the logarithmic form of 23 = 8 is l...

A: We can convert to logarithmic form as below

Q: f (x, y) = 4xy² + 5a°y fzy (1, 1) = hx

A: Given: - The function is, f(x,y)=4xy2+5x3y To find: - The value of fxy(1,1)=

Q: Consider the vector function r(t)=⟨t,t^2,t^4⟩ Compute r′(t)=⟨  ,  ,  ⟩ T(1)=⟨  ,  ,  ⟩ r′′(t)=⟨  ,  ...

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Q: Find f(x) = x2+2 when f1(3)

A: Given that: f(x)=x2+2

Q: 4. Find and completely simplify the 6th term in the binomial expansion of: (2x - "

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Q: Question 9 = sin20 +C, then f (0) =-cos20. 2 A True B) False

A: topic - derivative

Q: (x-y)dx+(x-y+2)dy=0,Solve For Homogeneous DE

A: Given differential equation is (x-y)dx+(x-y+2)dy=0 Solve homogeneous DE

Q: Question The graph of the polynomial f(x) is given below. If f(x) has degree 4, find the factored eq...

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Q: f A is 3 × 3 and det(2A-1) = -3 = det(A³(B¯1)"), find det B. 32 a) 을 (b)을 (e) (d) (e)을 83 34 23 83 (...

A: Topic:- matrix algebra

Q: t f(x) = 2x - 3 and g(x) = x + 5. %3D a. 2. g(x) = 2( x + 5) = 2x + %3D b. 5 g(x) = 5(_) = 5x +, %3D...

A: Given f(x) = 2x-3 and g(x) = x+5                a)     2.g(x)=2(x+5)                    = 2x+10 b)  ...

Q: Find a set of basic vectors {ü, i} in R“ so that every vector in the solution set of the equations c...

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Q: Let ä = = (8,1, –4) and b = (5,-2,1). Find à + b, 4à + 2b, là\, and là – b\ %3D

A: a vector = <8,1,-4) and b = <5,-2,1>  Find , a+b, 4a+b, |a| , |a-b|

Q: nsider the graph of J belov y = f(x) (a) Analyzing the graph, if g(x) = f(x), then is decreasing for...

A: Given query is to find the indicated interval.

Q: Define function rules f(x) = 2 Vx-1 by using the limit rule f'Cx) lim f(xth) - FCx) %3D

A: Topic:- calculus

Q: Question Evaluate the following limit using L'Hospital's rule. 1 lim 4x cos 6x4 Provide an exact ans...

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Q: Find the 10th term of the arithmetic sequence -2,1, 4, ... Answer:

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Q: 11. Scientists can determine the age of ancient objects by the method of radiocarbon dating. The bom...

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Q: DIRECTION: Solve the given differential equation below with clear solution y" – 6y' + 15y = 2 sin 3t...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary...

Q: Write the function g(x) (in blue) in terms of the function f(x) (in red). 2 -3 -2 6. -1 5.

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Q: Find the values of 'a' and 'b' that make the following piecewise function differentiable everywhere....

A: We have to find value of a and b for given Questions.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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

Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3).

A: Equation of a plane containing 3 points is x-x1y-y1z-z1x2-x1y2-y1z2-z1x3-x1y3-y1z3-z1=0  

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Given that: limn→∞nne-8n

Q: Prove: 0 =- 1 Proof 1: sin x tan xdx = [ cos x 1 u = cos x dv = sin xdx sec x du = sec x tan xdx v=-...

A: Solution is given below:

Q: Find the limit of the infinite sequence. 27,93 1 1 Enter dne if the limit does not exist. If the lim...

A: Given query is to find the limit of the sequence.

Q: 21 - v oX

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Q: Find the linearization of f(x, y, z) = at the point (3, 2, 8). (Express numbers in exact form. Use s...

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. Ma...

A: Use component form for the vector and use the given value 

Q: sin? x 1- 1-cos x =-COS X

A: Here we have to use the basic trigonometric identity sin2θ+cos2θ =1 and we know that  a2-b2= (a+b)(a...

Q: Problems 24-27 concern g(t) in Figure 2.29, which gives the weight of a human fetus as a function of...

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Q: 4

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Q: Find g(x)= -x2+ 5x - 2 when g1(2)

A: First calculate g'(x) then put x = 2.

Q: Evaluate dy/dx at x = 2.5, correct to 3 significant figures, given y= (2x^2+3)/In 2x

A: Given ;

Q: Question 19 Find the focus of the parabola 4x +24=8y-y?. A (-1,– 2) B (-3, 4) (-음4) D (-6, - 2)

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Q: Match each graph to its corresponding function. 1. f(x) = Væ graph in blue 2. g(x) = Vx – 2 graph in...

A: Answer: The solution is as given below : 

Q: Evaluate the inverse Laplace transforms of the following: 2 1 4 1. s+9 s- 5 20 1 2. s+3 5s -3 6s-5 3...

A: Given : 1)  L-1{2s-1s+9+4s-5}2) L-1{20s+3+15s-3+7s6}   NOTE: Since you have asked multiple questions...