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Q: Find the average value gave of the function g on the given interval. g(x) = 3x, [8, 64] gave =…

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Q: 2. Find the area bounded by a curve x = y - 2y? - 3y and the x- axis 3. Find the area bounded by a…

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Q: Find the total area of the shaded region. 1.5- 1- (9,1) x= 9y? 0.5- 0. 4.5 13.5 6.

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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: dæ4 evaluated at x = -1 dx evaluated at x = –1 dx? evaluated at x = -1 dx3 dªx4 evaluated at x = -1…

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Q: Find the average value fave of the function f on the given interval. f(x) = 18x – x², [0, 4] fave…

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Q: Find a formula for the nth term of the sequence (choose one of 2) The sequence 2,6,10,14,18, ..

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

Q: Use Newton's method to approximate a root of the equation x + x + 4 = 0 as follows. Let 1 = - 1 be…

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Q: Consider the function. x - 8 f(x) x + 3 Step 1 of 2: Find all values of x that correspond to…

A: The given rational function is: f(x)=x-8x+3      =x+3-11x+3…

Q: Solve the following problems. 2. At 1:00P.M, a thermometer reading is 70°F is taken outside where…

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Q: velocity function (in meters per second) is given for a particle moving along a line. v(t) = t2 - 2t…

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Q: 16. Interpretations of Integrals Determine the position function, s(t), of an object if the…

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Q: Given that u= and v= and that u.v= 199 determine the value of the constant A. Answer:

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Q: Find the slope of the tangent line to the graph of y = √x − 1 at the point (5,2).

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Q: メ-1 lim メ→( -2x

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Q: dy 5. Solve the differential equation = 7xy3 if y = 0.5 when x = 2. dx

A: Given query is to find the solution of the differential equation.

Q: Q3) Evaluate triple integral f, (x2 -y²)dz dx dy.

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Q: Find an equation of the tangent line to the graph of y = x^3 − 1 at the point where x = 2.

A: To find the equation of the tangent line at x=2.

Q: Calculate ri(t) · r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly and…

A: Given that,  r1(t)=6t i+9t2 j+5t3 k,  r2(t)=t4k

Q: 2. For the parametric curve defined by: x(t) = t2 + 4t + 2 y(t) = t³ + 2t2 + 4t + 1 (a) determine…

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Q: A piece of cardboard measuring 11 inches by 9 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 11 inches by 9 inches.

Q: For the polynomial -1/2x(3x + 1)*(x - 10)², find the following: a) the end behavior of the graph…

A: Given:    P(x) = --1/2x ( 3x + 1 )4 ( x - 10 )2

Q: What is the difference between contanity? Unforly contanity ?

A: This question is from real analysis & our topic is uniform continuity .

Q: Find the arc length L of the graph of r(t). r(t)= 4 cos(t)i + 4 sin(t)j + tk, 0 ≤ t ≤ 2π

A: The formula for the arc length is given by: L=∫02π(x'(t))2+(y'(t))2dt Here,…

Q: Find the arc length L of the graph of r(t). 1 r(1) = r} i + t j+ Vor² 2<t< 5 L =

A: We need to find arc length.

Q: In a recent survey, 52 said they had a dog, 64 said they had a cat and 25 both pets. How many…

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Q: If B = exp(r - 2), what is VxB?

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Q: Consider the following. dx Let u = 5x3- 1. Find du. dx - np Indicate how the limits of integration…

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Q: sin x dx 1. V2-cos2x

A: integration

Q: am dA y² dx + x² dy = / / ( - əx ду for the given path. hC: rectangle with vertices (0, 0), (2, 0),…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 4 1 lim t→+∞ \ 8t2 +9' 4t |(?, ?)

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Q: Describe the graph of the equation. (8 – 21) i + 13rj r = O It is a plane in 2-space through the…

A: I have appended the formula used in the solution part.

Q: Determine equation of the line in vector form, parametric form, symmetric form and scalar equation…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the limit sin 3x lim 9x

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bxº dx 10ax + bx10

A: Evaluate the indefinite integral

Q: dF Find given F(x) = (3s - 4) ds. %3D dx dF dx %3D

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Q: Find the arc length L of the graph of r(t). r(1) – ittj Vor? k. 1 r(t) = t i+tj 2 <t< 5 L = i

A: To find the arc length L  of the graph of r(t).

Q: Determine whether the series converges. If it does, find the sum: SUMMATION from n = 0 to infinity…

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Q: 1 Find Vf if f = 2 /x²+y² +z?

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Q: 9. Find the equation of the tangent plane to f(x, y) = x In(y) + x²y+3 at the point (x, y) = (2, 1).…

A: We have to find the equation of the tangent.

Q: For what values of the constant k does the Second Derivative Test guarantee that f(x.y)=x+kxy+y will…

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Q: S csc2xdx cosx O sinx+C O -cotx+C O -cotx

A: By using standard formula.

Q: g(b) Use the Substitution Formula, JKax) •gʻ(x) dx = [ | f(u) du where g(x) = u, to evaluate the…

A: The given integral,a) ∫-334rr2+22drb) ∫034rr2+22dr

Q: 9x² = 164 -8y² + 36x + 64y

A: The given equation is: 9x2-8y2+36x+64y=164...(1)

Q: Find Duf at P. f(x, y, z) = 6x°y°z*; P(1, – 2, 1); u = i %3D Duf = i

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Q: A cup of hot coffee is placed in a cold room. The temperature (in degrees Fahrenheit) of the coffee…

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Q: Find the derivative of f(x,y) = x +y in the direction of the unit tangent vector of the curve r(t) =…

A: The unit tangent vector T→t can be defined as the unit vector in the direction of the velocity…

Q: Given the differential equation y'' – 4y' + 3y = 0, y(0) = 0, y'(0) - 2 Apply the Laplace Transform…

A: L yn = snY(s) -sn-1y(0) -sn-2y'(0) -...-sy(n-2)(0)-yn-1(0).

Q: Let f(1) = 5I + 2. Using the definition of derivative at a point, %3D a. enter the expression needed…

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Q: Given 1 2 3 0 14 X y 5 6 0 W Find the value of "w". NOTE: Just give the answer for w. Answer:

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