The Intermediate Value Theorem can be used to prove that the equation 2²-2-15-0 has at least one solution on the interval [4,6) O False O True

Q: 47. Evaluate: x(x² + 3)5dx A. (x²+3)6 + C 12 B. (x²+3)6 + C C. ²/(x²+3)6 + C D. (x²+3)6 + C

A: According to the company rule we can answer the first question and rest can be reposted.

Q: 6. If y = 3√x, then what is y'? 2 A. y' == x 3 B. y' = 2/2 x3 C. y' = 1/ x3 D. y' = ¹/2 x 3

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Q: 10.1.16 Question Help w a Given parametric equations and parameter intervals for the motion of a…

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Q: 7) x¹ 9-x ² dx X 3 2 2 where u-x ² dv = x √ 9-x² dx 2

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Q: need the answer quickl

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Q: ¯(x) = 6x - 4x x² +1 n [-3,0] on

A: Average

Q: If f is continuous on [0, 1], prove that f₁¹ f(x) dx = f₁¹ ƒ(1 − x)dx.

A: This question can be solved using properties of definite integrals.

Q: Use Euler's method to solve the following ODES wwwwwwww dy dx = -2y + 4e¯*, with h = 0.18 from x = 0…

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Q: · ƒ³3(x + 1)(x + 2)²(x² −1)dx with and without the even-odd theorems (show both solutions).

A: Solution :Without odd-even…

Q: 10 Determine the area above f(x)=x²+2x+3 and below the line y=11.

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Q: TYPEWRITTEN

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Q: 3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1)

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y=-2 about the…

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Q: 48. Evaluate: A. (x + 1)³/² + C 5 B. (x + 1) 5/3 + C C. (x + 1) 5/² + C D. (x + 1) 5/4 + C 49.…

A: As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And The common integral; ∫eax+bdx=1aeax+b+C…

Q: Find the area bounded by the curves y-x² = -3,x+y = 3 and y = 0.5x.

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Q: 9. Alabama Instruments Company has set up a production line to manufacture a new calculator. The…

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Q: √√f(x) x→ 3.h(x) 20. What is the value of lim A. C. - 12/2 6 B. -1 D. 21/2 5 I N|2 13 -?

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Q: Find the slope of the tangent line to the graphof the polar equation 1 r = at Ø= 1-sinø 6

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Q: x3-4x-10 x²-x-6 dx.

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Q: Find the distance from the point P(1, 2, −1) to the line passing through the points A(−2, −3, −5)…

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Q: Determine if the function f (x, y) = if (x, y) = (0,0) is continuous at (x, y) = (0,0). If not,…

A: Use limit to find wheather function is continuous or discontinuous.

Q: Ex: If w cos(uv), u = xyz, y = TT 4(x²+y²)' aw find at point (1, 1, 1). əx

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Q: line l: x = = and point P(1,0,1). ● Find the set of parametric equations of the line parallel to…

A: Both questions are solved.

Q: Given x - ³²+2y — In(y + 1), find the arc length for 0 ≤ y ≤4 8

A: The arc length of the curve x=f(y) for a≤y≤b is given by ∫ab1+dxdy2 dy

Q: [* [b3 - 3 3 dy

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Q: Find the area bounded by the curves x² + y = 6, y = x, y = -2 and x = -2.

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Q: Find the Area of the Surface obtained by rotating the curve about the x - axis X= (²+2),

A: The objective is to find the surface area.

Q: Solve the first order linear ordinary differential equation x sin x dy dx + (sin x + x cos x) y =…

A: Here, the given DE can be written as: xsin xdydx+(sin x+x cos x)y=xex⇒dydx+sin x+x cos xxsin…

Q: 1. Write the polar form of the following complex number Z = 3

A: We know that polar form of complex number z=x+iy is z=r(cosθ+isinθ) Where r=x2+y2θ=tan-1(yx)

Q: Find the area bounded by the curves x² + y = 6, y = x, y = -2 and x = -2.

A: First we draw the curves, y=6-x2.y=x,y=-2,x=-2.

Q: Find the volume generated by revolving the area bounded by y² - 4y - 4x + 4 = 0 and x = 1 about the…

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Q: Determine the center-radius Form of the equation of the sphere whose- diameter has endpoints at (2,…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 436. The plane that passes through point (4, 7, -1) and has normal vector n= (3, 4, 2)

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Q: A rectangular field having an area of 2500m2 is to be enclosed by a fence, and two additional fence…

A: Area=L×W=2500 m2 So,L=2500W The perimeter P=2L+2W+2W {to divide the field into three 2 fences of W…

Q: 4. Determine the Cartesian equation of the line that... a) is perpendicular to x=2+t, y=-3 + 2t and…

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Q: 5. Find the derivatives (a-b) and the limit (c): (2) ± √( 1 cos (1²) dt) (0) ² (154) dt dx 1 r2+x…

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Q: 9. y(y² + 1)dx + x(y²-1)dy = 0 Ans: + xy = c

A: We  are given the differential equation to be solved    =>       y(y² + 1)dx + x(y²-1)dy = 0

Q: S² z²√√(-z² + 1)5 dz

A: To find the value of the given integral.

Q: The limit below represents the derivative of some function f(x) at some number a. 4(3 + h)³- - 108…

A: This question can be solved by applying the concept of first principle.

Q: Given x = y²+2y 8 -In(y + 1), find the arc length for 0 ≤ y ≤3

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Q: Two vehicles start out traveling side by side along a straight road. Their position functions, shown…

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Q: ind g'(3) given that f(3) = -1 and f'(3) = 5. (a) g(x) = 2r³-7xf(x)

A: Topic:- application of derivatives

Q: WAN 1 2 3 4 The graphs of 4 functions are shown above, and the graphs of the derivatives of those…

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Q: Let The coefficient of x' in the Maclaurin series for f(x) is: Answer f(x)=9e2x-x.

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Q: Use the method of elimination to evaluate the determinants

A: Question number 16 has been solved as per the request of the student.     This question can be…

Q: An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to -1. Calculate the…

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Q: The domain of the function f(x)=x+7/x-5 is all real numbers except x=5. Express the domain in…

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Q: 19

A: We will solve the problem

Q: Use the slopes of tangents to determine whether the function f(x) = -6x²+36x is increasing,…

A: The given function f(x)=-6x2+36x at the point x=4.

Q: _11. If lim (x² +1) = 2, and x = 2.5, then x->-1 lim (x² + 1) is equal to. x-2.5 A. 5.25 C. 6.25 B.…

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