X+3 Evalmating dx 5-4メ-メ2

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) x²…

A: The given curves are y1=x2+2x+5  &  y2=2x+15

Q: Evaluate the integral. (Definite Integrals 6 r dr 15) V16+ 3r2

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Q: 18. Determine if the equations are exact or not then solve for the general solution. a. (e*(x²y² +…

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Q: Find the limit. Use L'Hospital's Rule where appropriate.If there is a more elementary method,…

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Q: 3. Determine all the roots (real or complex) of the polynomial p(x) = 2x4+13x³+27x2+13x-15.

A: Since you have posted multiple questions. As per guidelines, we"ll solve only first question. If you…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the ezact answers in terms of i.j…

A: First find the magnitude of the vector and the find unit vector

Q: Find an equation of the plane through (-3, 8, – 7) that is perpendicular to the planes 6x – y +z = 4…

A: We need to find equation of plane.

Q: A projectile is shot from a cannon. The fixed parameters are the acceleratilon of gravity, g=…

A: We need to find time and approximation.

Q: Find the directional derivative of f at Pin the direction of a. f(x, y) = 3x³y*; P(5, 1); a = 7 i –…

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Q: f(x) = |x + 1| (-1,0) Prove that has no tangent line at

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Q: Find the demand function q = D(x), given the following elasticity conditions. E(x) = q = 205 when x=…

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Q: DIFFERENTIAL EQUATIONS Solve the following application problems. *show the every details of your…

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Q: Given that Vƒ(4, – 15) = 4i – 2 j, find the directional derivative of the function f at the point…

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Q: 6. Differentiate y with respect to x using A-method. x-3 a. y = X b. у %3D V4x + 3

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Q: Determine whether the series converges or diverges. If it converges, find its sum. 3m m=2 Select the…

A: The given series is 7/3m .

Q: Which of the following definite integrals are equal to lim 5k `sin –1+ ? n00 k=1 n n I. sin æda II.…

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Q: Differentiate the following functions. eX+e=* y D .y= 2

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Q: Solve the differential equation. dy = 5 ex-y dx Choose the correct answer below. O A. y= 5 e* +C O…

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Q: Σ E n=2 n·ln(n)

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Q: Find the area of the region bounded by the given pair of curves. Area inside the circle r = 3 cos 0…

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Q: If W = xyz with x = 2t*, y = 3t-, and z = 4t¬³, what is dw dt 24 O In(t)

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Q: Find the location at t = 3 of a particle whose path satisfies - (1- dr 7 14t 2t – 4 dt (t + 1)² r(0)…

A: To find the location at t=3 of a particular whose path satisfies.

Q: Use Lagrange multipliers to find the maximum and minimum values of ƒ subject to the given…

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Q: Solve the differential equation. dy = 5 ex-y dx

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 6j as…

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Q: Find parametric and symmetric equations for the line satisfying the given conditions. Through the…

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Q: If P, is (1, 2, –3) and P2 is (-4, 0, 5), find (a) The distance PP2 (b) The vector equation of the…

A: Given,             P1=(1,2,-3)             P2=(-4,0,5)

Q: Evaluate using Integration by Parts. (Use symbolic notation and fractions where needed.) xeSx+6 dx…

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Q: The graph of f' (x) is given below. On what interval(s) is the value of f(x) increasing? Glve your…

A: Graph of the derivative function is given, we have to find the increasing interval of f(x)

Q: If a ball is thrown vertically upward with a velocity of 80 ft/s. then its height after t seconds is…

A: We have to use simple derivative of the function to solve the problem

Q: Show that the lines L1 : x =1– t, y = 2t, z = 4+t and L2 : x = 1+ 3t, y= 3 – 6t, z = 5 – 3t are…

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Q: Determine if the following statement is true or false. The points P,(2, 0, 1), P2(3, – 2, – 3),…

A: We know that three points P1, P2, P3 lie on the same line if direction ratios of P1P2 and P2P3 are…

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+6j. NOTE: Enter the exact answers…

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Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y – 2z subject…

A: Solve the following

Q: Using the table below. Write all the possible idea that you may seen in the graph. (one sided limit,…

A: Given

Q: 2. Evaluate the following limits. 3x+5 e. lim x→+o 2x+1

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Q: A company determines that its marginal cost, in dollars, for producing x units of a product is given…

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Q: x dx (7x2 + 3)

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Q: (x³ +2x)" Find dy/dx, given the following: y = V2x-4 (2³ +2x)“ V(2r–4) 17 -36a²+10x-24 %3D (2x–4)²…

A: Quotient Rule of differentiation :  ddx (uv) = v.dudx-u.dvdxv2. dxndx=n.xn-1

Q: Show that the lines L1 : x = 4 – t, y = 2t, z = 5+t and L2 : x = 1+ 2t, y = 3 – 4t, z = 5 – 2t are…

A: To show that the lines L1: x=4-t, y=2t, z=5+t and L2: x=1+2t, y=3-4t, z=5-2t are parallel and to…

Q: 2х + 3 dx x² + 3x

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Q: 1. State the domain and range of {(x, y)|y = + 3}.

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Q: а. у %3D х-5 — 4х* + 5х-3 -10х — 20 4x4 + 5x-3

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Q: th (a) Write a nonrecursive formula for the n term of the arithmetic sequence a based on the given…

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Q: Compute the length of the curve r(t) = (21, In(?), r²) over the interval 1 < t < 7. (Use symbolic…

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Q: Maximize f(x, y) = 3xy Зху subject to x + y = 1

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Q: 2. Differentiate the following function: y = Jo tan 2x Hs dt. 1+t3

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Q: Calculate the Taylor polynomials T and T3 centered at x = a for the function f(x) = 17 In (x + 1), a…

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Q: Find the area of a triangle PQR, where P = (2, – 3, – 4), Q = ( – 6, – 2, – 6), and R = (5, 6, – 6)

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Q: Find an equation of the plane through the origin that is parallel to the plane 4x – 3y + 5z + 10 =…

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