Question 7 Find the area enclosed by the curves y=2r², y=2x.x=- and x = 1 A) 45/51 B 65/89 59/76 D) 49/96

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: x Algebra In Exercises 19 and 20, for what values of x and y are the triangles congruent by HL? 20.…

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Q: 12. L(s? – 1) sds 13. (1² – #) dt

A: ∫xndx=xn+1n+1+C , C is a constant for any real number n.

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: This question is related to infinite series, we will solve it using given information.

Q: Find the particular solution of the following ODE given that y(0)=0 and y'(0)=3: d'y dy +10 +25y = 0…

A: Explanation of the answer is as follows

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x3…

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Q: Evaluate: da Væ2+4

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Q: Recall that csc(x) and cot(x) = sin(x) cos(x) sin(x) d4 cot(x) The ratio dx csc² (x) is a constant…

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Q: 4х+5 f(x) = %D 9-3х А. х 3 -1 B. x =0 С. х 3 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: m²-m Find S (m1) dm

A: Given; I=∫m3-m-1mdm   As we know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule;…

Q: 10 Consider the function f(z). 6. Let F(r) be the antiderivative of f(z) with F(1) 0. Then F(z)

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Q: Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y.…

A: To find the area of the region enclosed between the two curves.

Q: Find the curvature of ƒ(x) = ln cos x, < x < 2 -- 2°

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Q: Evaluate the definite integral. ra?/3 xVx6 + a2 dx (a > 0)

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Q: 8) Find the linearization of f(x) = 6 + X+1 tan 4 dt at x = 0. 1.

A: On solving this we will get

Q: r1(t) = 3ti + 3tj + t°k, r2(t) = t'k d [ri(t) r2(t)] = dt

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Q: 3 Ay 10- Find equation of tangent line at the point (0, 7) for Cos (7x - y)

A: Solving

Q: Find the particular solution of the following ODE given that y(0)=7 and y'(0)=0: d’y dy dx -+3-10y=0…

A: To find the particular solution of ode

Q: .3 dx

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Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: Given problem:- Find exactly T(t) and N(t) for x = et cost, y = et sint, z = et for t = 0

Q: Formulate a linear programming problem that can be used to solve the following question. An airline…

A: We need to give constraint equation.

Q: 4. sec 4x tan 4x dx

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Q: Evaluate the integral. HINT: [Use a shortcut.] e 8x - 1 dx

A: Using substitution ,

Q: 2 Find the general antiderivative of f(x) = 5x* + 4 + C

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

A: As per given  We have to solve above question  Given  V(t)=t2-2t-8

Q: Find the area of the blue region. It is the area under the curve. 8 y = 3 x + 1 4 y =7– x 2 4 6 8.

A: This question can be solved using the concept of area under curve.

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

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Q: 10 9. Consider the function f(x) %3D Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(x)

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Q: x In x dx

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Q: 2. Solve x? – 6ax+ 2 = 0, where a>1 is a constant. -

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Q: x-1/2 d) -dz e) 5e5x 2x1/2 x-5/2 dx x-3/2 e5x f)

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Q: For 3 random distinct positive real numbers: • the sum of the two smaller numbers is 12 less than…

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Q: Graph the feasible region. x + y 2 3 -x + y 2 1

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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: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

A: Find Maclaurin series.

Q: The demand curve for a certain product is given by p(q) = 541 - q. The supply curve is given by p(q)…

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Q: Solve the following problems. 1. A thermometer reading 18°F is brought into a room where the…

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Q: 5. Use the Laws of Logarithms to expand the expression. x + 2 3 (a) log (b) In y (c) log. x(x² + 4)

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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: In this question we have to find point and nature of given vector.   Option d is correct.

Q: ||r'(t) × r"(t)|| ||r'(t)||³ Use the formula k(t) = to find «(t). r(t) = e""i+ e'j K(t) =

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Q: 6. A particle is moving along a straight line. After t seconds the distance the particle has…

A: Here, the acceleration a of the particle is given by:…

Q: 36 – x2 – y? and S2 be t Let Si be the hemisphere with Cartesian equation z = 6 – upper nappe of the…

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Q: dx 1-x2

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Q: 1-

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Q: Find a power series representation for the function. Determine the interval of convergence. (Give…

A: Given f(x)=58-xwe know that the power series11-r=∑n=0∞ rn

Q: y = 2 ||

A: We have to find the derivative of the function y = 1-x2ex2

Q: Find the unit tangent vector and the length of the indicated portion of the curve: (a) r(t) = (6 sin…

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Q: Given that 5i is a zero of p, write the polynomial in factored form as a product of linear factors:…

A: Given that the polynomial is a6-11a5+65a4-331a3+1024a2-1400a+600 and 5i is a zero of the polynomial.…

Q: f(x, y) = ln(x + y)

A: for the first order partial derivative we have to find fx = derivative of f with respect to x fy =…

Q: Evaluate the limit sin 3x lim 9x

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