Continuity of Functions on an Interval Determine if the given function is continuous on each of the given intervals. A.f(x) 3x3+4x2-x + 6 [-4, 4] 2. (0,9) 1.

Q: What is an antiderivative of **+2, x2+1 .. x + arctan x-5 2x +3 x + arccot x x + 2arctan x +1 A. D.

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Q: road length (in kilometers), T is the total county land area (in hundred-acres (Ha)), U is the urban...

A: We will find the number of accidents. 

Q: Find the area enclosed by the x-axis and the curve y = -x² + 9.

A: Given, We have to find the area enclosed by the x-axis and the curve y=-x2+9.  

Q: 9. An object is shot upwards from ground level with an initial velocity of 3 meters per second; it i...

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Q: Find the tangent plane to the equation z = x + 3y – 5y at the point ( – 5, – 5, 125) 2 Z =

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Q: (b) Given the first-order differential equation as below: (x² +3y² +5)dx+(6xy +6y+3)dy = 0 (i) Ident...

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Q: Linear differential equation hith constart coefficients. 3 D = n- 4R+ 6) y

A: Given: D4-4D3+7D2-4D+6y=0

Q: Question 11 Зсos3x-1 To evaluate f scos - dx, the integrand can be transformed to 1-sin?x A.) [(3cos...

A: We put 1-sin2x=cos2x and then solve it. Follow 2nd step.

Q: Find the indicated angle ?. (Use either the Law of Sines or the Law of Cosines, as appropriate. Assu...

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Q: Question 10 Evaluate f - x3+27 dx. x+3 x3 A.) 3 + 9x + C x3 В.) 3x2 + 9x + C 2 C.) 3x2 + - 9x + C D....

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Q: If f(-2) = 2, write an ordered pair that must be on the graph of y = f(r + 4) – 3

A: Ordered pair represents the position of a point. X axis represents the left or right position , if l...

Q: 19. Find the total area between the parabola y = x² - 4x, the x-axis, and the ordinates x = -2 and x...

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Q: L:(sin x – 1) dx + ,cos x + 1) dx =? c)-1 а.) -89 b.) -91 d.) - (1 +)

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Q: 47. For the equation: y= Vx? + 20x dy ay using the chain rule dx a. Find а. b. Find the slope of the...

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Q: Š F(x)dx = 5, f(x)dx = 2, and f(x) dx = -1, find ſ f(x)dx. If %3D а. — 2 b. 2 с. -3 d. 3

A: Topic:- integration

Q: Y= --+ C1e2* general solution to the DE y"=2y+x Find C1 with the given + Cle2x 3 condition y (1) =1/...

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Q: Find all values for the function y = EMX a solution to the DE: y" - y" – 6y' = 0 %3D

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Q: Match each property (a)-(d) with one or more graphs (I)-(IV) of functions. 4. (II) 4. 4 (I) 4. (IV) ...

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Q: (sin x – 1) dx + (cos x + 1) dх %— 0. D.) - (1+) А.) —89 C.)- 1 В.) —91

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Q: Let X be the set {5, –6, 2}. For the first three parts of this problem you are asked to define a fun...

A: Consider the set 5,-6,2. The function is f:X→X and the relation is u~w⇔w=fu.   a) The relation is re...

Q: A series RLC circuit is shown in Figure Q4 (b) where R= 4Q, L = 0.5H, C= 0.1F,E(t)=10 V and i(0) = 0...

A: Given: R=4ΩL=0.5 HC=0.1  FE(t)=10 V

Q: Show Intro/Instructions Suppose f is a quadratic function that has roots at 3 and x = 6, and f(0) = ...

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Q: M(x,y) dx + (xe*y – 4xy + 2) dy = 0

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Q: Find the second-degree Taylor polynomial for f(x) = 4x² – 8x + 8 about æ = 0. %3D P2(x) = What do yo...

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Q: 2x+4 f(x) = (3x + 7) e.

A: Given query is to find the derivative of f(x).

Q: rmula to the corresponding graph. 2-

A: We have to choose the correct answer from the given options according to the given information

Q: 2. (D2 + 3D)y = -18x; y = 0, Dy 5 when x

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Q: pard New Tab 3 HELP CENTER -/9.09 Points] DETAILS LARPCALC11 5.2.020. Verify the identity algebraica...

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Q: True of false? Explain why or why not. a. The functions r(t) =〈cost,sint〉and R(t) =〈cos(t2),sin(t2)...

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Q: If labor (x) costs $235 per unit, materials (y) cost $169 per unit, and capital (z) costs $60 per un...

A: Given that: Labour costs $235 per unitMaterials y cost $169 per unitCapital z costs $60 per unit.

Q: Use the limit definition to compute the derivative of the function f(x) = 5x- at x = 3. (Use symboli...

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Q: (sin x 1) dx + (cos x+ 1) dx = C.)-1 D.) - (1+) A.) -89 В.) -91 A B в) А

A: Given:       ∫-π40sinx-1dx+∫0-π4cosx+1dx Apply sum rule:         ∫fx±gxdx=∫fxdx+∫gxdx      =∫-π40sin...

Q: (x+6)dx 4. S (æ+2)?

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Q: Question 19 An object is shot upwards from ground level with an initial velocity of 3 meters per sec...

A: Here ,              We have given that an object is thrown vertically upwards with an initial veloci...

Q: In Problems 17-34, find f' (x) and simplify. 17 fl .. 10 T U.2x, -2X 5. J(x) = 6e¯ 26. flr 28 (4+ 3)...

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Q: C 12 A 34 37 В

A: The given triangle has side lengths,AC=12, AB=37, BC=34

Q: 19. Find the total area between the parabola y = x2 - 4x, the x-axis, and the ordinates x = -2 and x...

A: We can use integration to calculate the area

Q: (sin x – 1) dx + (cos x + 1) dx = C.)-1 D.) - (1+) А.) —89 В.) —91 |

A: Using formula  ∫ Sin x dx = - Cos x + C ∫ Cos x dx = Sin x + C ∫ xn dx = [xn+1/(n+1)]+C   ∫(Sin x - ...

Q: (D² – 2D + 1) y = e*/x3

A: Given ,(D2-2D+1)y=exx3The A.E. is, m2-2m+1=0(m+1)(m+1)=0⇒m+1=0 or m-1=0⇒m=-1,-1Therefore C.F.=(C1+C2...

Q: If f(x) = Vr, match each formula to its corresponding graph. the graph in red 1. g(x) = -f(2x) 2. h(...

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Q: 2. Find the indicated values. f(g(3)) f(x) 9(x) 51 54 S(8(1)) g(S(1)) 4- 4- 8(5(0)) 3 S(S(5)) 2- 2 S...

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Q: (2xy-tany)dx + (x² – xsec*y)dy = 0; y(1) = *

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Q: 2. An area is bounded by the curve y = 8/(x² + 4), the x-axis, and the lines x + 2 = 0 and x-2 = 0. ...

A: Given, The curve bounded by y =  8/(x2+4) and x axis (y=0) And lines x+2=0 and x-2=0 x= -2 and x=2

Q: Find the distance from the point to the plane.   (4,1,8)​, 7y+5z=0

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Q: (a)Odd degree polynomial functions have opposite________ .  (b) When we multiply two functions toge...

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as...

Q: Live equation ar differential with constat coefficients dx -3x 3x = -9ゼー1 5. | dt? dt

A: We have to find the general solution of differential equation

Q: Evaluate the integral fw(2w +3)² dw A.) w+4w3+w² + C B.) w+2w3+9w² + C C.) w2(w²+4w+9/2) + C D.) 2w ...

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Q: Find an equation of the tangent plane to the surface at the given point. 4x2 + 2y? + 4z2 22, P = (2,...

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Q: 9. An object is shot upwards from ground level with an initial velocity of 3 meters per second; it i...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: what is the effective annual yield if a deposit of 1000 grows to 2200 in 9 years? round answer to tw...

A: We know that A = P(1+r)t         where A = future value                  r = interest rate or effect...