Which represents the Midline? (B) (C) (D) (A)- O A O c D

Q: 12. Suppose that r(t) = 5+502, where t is time in hours. How far does the bus travel in 1 hour exact...

A: GIVEN v(t)=5+50t2 where t is the time in hour

Q: please

A: Please refer to the image below

Q: 3-20 Find the limit. x² - 9 3. lim 4. lim + 2x - 3 x - 9 5. lim + 2x - 3 6. lim x² + 2x - 3 31-3 (- ...

A: Solution is given below:

Q: 2. Given: f(x)= x' +4x? – 2x+9 g(x) — х? +2 %3D h(n+2)= 2h(n+1)– 3[[h(n)]° h(1) =1 and h(3)= 5 f(-5)...

A:

Q: 2. For each of the following statements, determine if they are true or false. In either situation, e...

A: Find your answer below 

Q: (x + 6)dx J (x + 2)² 4 In(x + 2) + +C x +2 4 -In(x + 2) + C x +2 Option 1 Option 2 4 In(x + 6) + + C...

A: Evaluating the indefinite integral

Q: Find an equation of the tangent line to the curve y=3arccos(x/2) at the point (1, pi)

A: Given that equation y=3cos-1x2To find : equation of tangent line at point 1,πSolution :equation of t...

Q: (7) (y sec 2x + sec x tan x)dx + (tan x + 2y)dy = 0 (8) () ds + () dt = 0 (9) (2x³ – 3x²y + y³) = 2x...

A:

Q: (1 + cos x)y’ = sin x(sin x + sin x cos x – y)

A:

Q: If sin(0) : 3 and 0 is in quadrant IV , then find (a) cos(0) (b) tan(8) (C) sec(0) (d) csc(0) (e) co...

A:

Q: dx

A: Let  x-2 = t  Differentiating both sides dx= dt  

Q: Evaluate: 1- cos(x) 3x2 lim Express your answer in 4 decimal places.

A: According to question,Given limit,limx→0 1- cos x3x2

Q: Find the corresponding angle measure in radians. O A. - 45° OA. 4 7T O B. 4 OC. 3 元 OD.

A:

Q: Use the method for solving Bernoulli equations to solve the following differential e + 7y = e*y¯? dx...

A:

Q: Evaluate the following. Show solution using the basic formulas. 1. S(3x² – 8x + 7)dx

A: Let I=∫ 3x2-8x+7dxApply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdxI=∫ 3x2dx-∫ 8xdx+∫ 7dxTake the constant o...

Q: If f(x) = 5dt then f'(x) =O

A:

Q: dx S (2x+1)vx

A:

Q: If a function f(x) is continuous on the interval [a..b] and sign of f(a) = sign of f(b), then: There...

A: Bolzano's theorem: According to this if f is continuous on        [a b]And if f(a) and f(b) has oppo...

Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), E (0,4,0), and (0,0,2)

A: The vertices of the tetrahedron are (0,0,0),(1,0,0),(0,4,0),(0,0,2).  x varies from x:0→1y varies fr...

Q: B. Find the general equation of the following conic with the given properties. 2. A hyperbola with f...

A:

Q: dy (13) 2+ 3y = 3x²e¬3* dx

A:

Q: For the piecewise-defined function f whose graph is shown, find the following. (If an answer does no...

A:

Q: n this calculus word problem, that deals with linear vs angular speed, there is a patrol car. It is ...

A: Given: It is parked 50 feet from the a warehouse. the light revolves on top of car at rate of 30 rev...

Q: V. HIGHER DERIVATIVES AND CHAIN RULE 2. y = x²(x – 1)³(2x – 5)² 3. f (x) = V1 + V1-x

A:

Q: S In(x² + a) dx

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Q: Obtain the differential equation of the following by eliminating the arbitrary constant(s): 1. xy+ x...

A:

Q: . Find the domain of the inverse of the function f(x) = −3√4− x  + 5.

A:

Q: 45. Suppose x. ifx 1/n for every natural number n, f(x) ={0. otherwise. b) Does lim, 0f(x) exist? If...

A: Given :f(x)=xx=1n ∀n∈ℕ0otherwiseTo check :limx→0f(x) exists?Formula :By Archemedian property ε>0 ...

Q: 1 Evaluate dV, where E lies between the spheres x2 + y2 + z2 = 9 and x2 + y? + z2 x2 + y? + z2 36 in...

A: we want to find the triple integral ∫∫∫E1x2+y2+z2  dVwhere E lies between the sphere x2+y2+z2=9  and...

Q: dy (10) (8у — х?у)+x- ху? — 0 dx

A:   Note:- Since you have asked multiple question As per our policy, we will solve the first question ...

Q: A function value and a quadrant are given. Find the other five function values. Give exact answers. ...

A:

Q: +[2yln [2yin (3 3y²dx 3siny dy = 0 ;when x = 1, y = 0 5x x2+3x x+3,

A:

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y = sin x(sin x + sin x cos x- y)

A: According to question,Given differential equation,1 + cos x y' = sin x sin x + sin x cos x - y

Q: 12. Find a polar equation for the hyperbola with focus at the origin, directrix x = -2, and eccentri...

A: Polar equation of hyperbola is      r=ed/(1+esinthetha) 

Q: 5. This is the graph of the function f. The dashed lines represent the asymptotes. Select the x-valu...

A:

Q: determine the value of k which will make h' (π/4)=6 when h(x)=In(cosx)+kx. a. 6 b. 5 c. 0 d. 7

A: Given, hx=lncosx+kx We have to find the value of k for which h'π4=6  

Q: 16 3. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the ty...

A:

Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

A:

Q: Find the area of the sector of the circle. r= 28.35 ft, 0=24.401° O A. 345.28 ft2 O B. 171.14 f? O C...

A: We can find the area of the sector as below.

Q: Evaluate the limit and justify each step by indicating the appropriate Limit Theorem(s). please sle...

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Q: - 2 lim,→8- х — 8 X

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Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at x = 2 and roots of multiplicity 1 ...

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Q: (a) Let A = {1,2,3}, B = {3, 1,2}, and C = {1,1,2,3, 3, 3}. What are the elements of A, B, and C? Ho...

A: Find your answer below 

Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

A: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

Q: An open box having a square base and hold a volume of 32 cubic inches. What dimensions will require ...

A:

Q: 68. Let Jr dx. %3D (a) Show that J1 = -e-x²/2. (b) Prove that Jn = -x"-le-x*/2 + (n – 1)Jn–2. %3D (c...

A: Solution is given below:

Q: Evaluate the integral: 7x/2x² – 5 dx ○ 중(222 -5)1 + O 중(2a22-5)- +C 7 21 o 글(272-5)-++C (2a² – 2 + C

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Q: 2.

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Q: The functions f and g are defined as f(x) = 5x – 2 and g(x) = - 7x². f and a) Find the domain of f, ...

A: The given functions are f(x)=5x-2  &  g(x)=-7x2

Q: plve y - 4y = (x – 3) sin 2x, the method of undetermined coefficients.

A: We are asked to solve the differential equation.