Which of the following numbers is a rational number? V25-1 V5 O the above the above the above None of these

Q: ey+y°.

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Q: Find an equation y = f(x) for the parametric curve c(0) = (cos(0), 10 cos(0) + 3 sin? (0) and…

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Q: Find or evaluate the integral by completing the square. (Round your answer to three decimal places.)…

A: Given problem:-

Q: Convert the polar equation r sing = 5 in Cartesian equation form. %3D O xy + y? = 5 x = 5 Oy = 5

A: Here we have to convert the polar equation into Cartesian equation.

Q: Use the Midpoint Rule with n = 4 to approximate the integral. 10 x² dx M4 =

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Q: Fnd the gradent vector feld o S(2,9) = VEz+ y. Provide your answer below

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Q: 27. Jul 16,0 =

A: Given data÷ Vector u is given by u=ucosθi+usinθj Or  u=<ucosθ,usinθ>

Q: | (In x)2 dx Use integration by parts.

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Q: 25 Simplify sec(arcsec 1/2 ). no solution -1/2 1/2

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Q: 10 Convert the Cartesian equation 2 xy = 1 in polar equation form. r²cos2θ = 0 cosθsinθ = 1/2…

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Q: If f(x) (t3 + 7t + 7)dt then f"(x) =

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Q: Find d3y dx3 of y = x³e-x

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Q: ven -5z'ydz - 2rzdy+ (z+ y)* dz where C is the helix parameterized by r (t) = (34, sin (t), con (t))…

A: To set up the given  line integral in terms of t.

Q: Use the new command from Example 3 above to find the volume of the parallelepiped formed by vectors…

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Q: ニ 2 2. dx | -r

A: The given integral  y=2∫-rrr2-x2dx  Can be solved using integration formulas given below…

Q: Find T(t) and N(t) at the given point. r(t) = (t – 2)i + tj; t= 2 T(2) N(2) =

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Q: Find the equivalent DE for the given family of curves All vertical parabolas

A: Find the equivalent DE for the given family of curves All vertical parabolas

Q: evaluate lim f (x) and lim f(x). X--00 -5 + 2e-* f(x) = %3D 5e-+6

A: f(x)=-5+2e-x5e-x+6limx→∞f(x)=limx→∞-5+2e-x5e-x+6             =limx→∞-5+2ex5ex+6…

Q: Consider the following series. n2 + 64 n = 1 1 Does the function f(x) = satisfy the conditions of…

A: This question can be solved using the concept of integral test.

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -105 feet per…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: The absolute max occurs att The absolute min occurs at t

A: Follow the procedure given below.

Q: In circle B with mLADC=43 find the measure of minor arc AC. B C. A The measure of arc AC =| %3D

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Q: Choose the graph of y= 2 arcsin x, - T S YS T 27

A: when x=0, y=0 at x=1 then y=π at x=-1 ; y=-π

Q: du is? x³ sin (x?) dx is evaluated using IBP, the value of v du When A sin (x2) 2 B none of the…

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Q: d d. [r1(t) · r2(t)] andr:(t) × r2(t)] first by differentiating dt dt the product directly and then…

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Q: The Cartesian equation, x = 4, is equivalent to the polar equation, 1 = 4 cose 4 r = cose 43 r =…

A: Answer is in step 2.

Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find the…

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Q: Find the area of the region. 1 y x2 – 2x + 5 y 0.4 0.3 0.2 -2 -1 1 2 3 4

A: It can be solved using integration.

Q: Evaluate the definite integral. I (1 i +e"j+ik)dt (el3 – 1) i – (e-l – 1) j +k i+ (e-l – + k el3 – 1…

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Q: g(t) = 2t3 + 3t² – 12t Find the intervals where g(t) is increasing and the intervals where g(t) is…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(x) = | cos (t*)dt.…

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

Q: Evaluate the integral. 4 2х e dx 4 2x e dx = (Type an integer or decimal rounded to the nearest…

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (1,…

A: Distance from a point  (x0,y0,z0)  to the plane ax+by+cz+d=0 is given by    ax0+by0+cz0+da2+b2+c2…

Q: 1. Sketch the region enclosed by the given curves: y = e*, y = x² – 1, x = –1, x = 1. Find the area…

A: (1)

Q: Find the solution of the following differential equation. Take the constant of integration to be…

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Q: 开3 Estimate the area under the graph of f(x)= 3x 3. between x= 0 and x =1 using each finite…

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

Q: A 25-year old woman burns 250 – 30t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: b- Lim (3x³+x²-2/x²+x-2x³+1)

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Q: (t – 1,t 2

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Q: x2 V1-x2 dx Use trigonometric substitution

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Q: Let an 4n + 1 (a) Determine whether {a} is convergent or divergent. If it is convergent, find the…

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Q: A ball is shot from the ground straight up into the air with initial velocity of 42 ft/sec. Assuming…

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Q: The rate of growth G, in thousands of dollars per year, in sales of a certain product is a function…

A: We need to solve growth model.

Q: x+x+1 Use partial fractions. 2x2+2+x3+x

A: The given integral is;  (x2+x+1)/(2x2+2+x3+x).

Q: 13. the , xydA, where ySxsy?}

A: First I have set the limiting double integral from given information and then solved it .Final…

Q: ² V1-x² dx x2 Use trigonometric substitution

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Q: Consider the following. -x2 – 4 f(x) = (a) State the domain of the function. all real numbers x…

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Q: [43 80 -60 Let A = Find an invertible matrix X and a diagonal matrix D such that [30 60 -42] D =…

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Q: Find the following Laplace and Inverse Laplace Transform of the function. 5. f(t) = e-4t (t-cos(t))

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Q: Convert the polar coordinates (1, 111) to Cartesian coordinates. O(/3/2, -1/2) O (1/2, -V3/2) O…

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