11. Find the cosine of the measure of the angle between A and B.

Q: LIMITS 1. Evaluate the following limits, if they exist. If they do not exist, but approach too,…

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Q: Find the derivative of the function (2y – 1)3 Vyt +1 G(y) = In G' (y)

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Q: 1. Determine if each series converges or diverges, you can use any of the tests discussed in class.…

A: a) ∑n=1∞3nen-1b) ∑n=1∞1+3n2nc) ∑n=3∞3n-14n

Q: Find the values of constants a, b, and c so that the graph of y = ax° + bx + cx has a local maximum…

A: Given problem:- Find the values of constants a, b, and c so that the graph of y = ax3 + bx2 + cx has…

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Q: Find the equation of the tangent line at the given point on the curve. 2x2 + 2y? 29y-y e 58x/5, .2…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Use the Ratio Test to determine the radius of convergence of x" Σ Vn : 11" n=1 Then determine…

A: Let's find.

Q: S(x + e*)²dx

A: Solving the problem by finding the value of the integration.

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t 15)…

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Q: Find the derivative of the function y = (cos(x))" .

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Q: (a) Find an equation of the tangent plane to the surface at the given point. хуz %3D 6, (1, 2, 3)…

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Q: x2 (a) Find a power series representation for f(x) = 1 + x3 °

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Q: Suppose that L is a location function of an object, given as L(t) = We will compute the 3t + 7…

A: We can solve this as follows:

Q: Find the average value of the function J (1) = VI +1 from x =0 to x = 3.

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Q: Use any method to evaluate the integral. 3 x*dx 2 Vx + 25 3 x*dx S- 2 Vx +25

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Q: Evaluate the integral. |cos *x sin xdx Scos 4 cos "x sin xdx =

A: To find the value of given integral .

Q: for what Vather of the constant (k) that the funstion fayt=x+kxy +y will havei 2. a- Saddle Point…

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Q: 3 6 Evakuate the determinant for the followeng matrix 5/ 1 OAR OC.

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: The objective of the question is evaluate the vector with given magnitude and same direction vector.

Q: Use properties of exponents to write the function in the form f(t) = ka', where k is a constant.…

A: Solving the problem by finding the simplest form of the given expression.

Q: X- Sin Find d2y/dx2 without eliminating the parameter. 16) x = 1 - 10 sin t, y = 1 + 9 cos t, t n7…

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Q: 253 4x

A: Given query is to find the value of the integral.

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Q: fine Use FTC-1 to find the derivative of the function g(y) dz 1+ %3D

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Q: Question 16( Evaluate the definite integral, where Tis a even integer. * cos edr Blank 1:

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Q: Evaluate the integral by interpreting it in terms of areas. (10 – 5x) dx

A: Explained below

Q: Determine the area bounded by

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Q: a) L{te-3t cos 3t}

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Q: x – 2 Let g(x) = x + 3 (a) Find the third degree Maclaurin polynomial of g.

A: Solution: So what we need to do to get the desired polynomial is to calculate the derivatives,…

Q: 13. Prove that the three points (-3, 2, 4), (6, 1, 2), and (-12, 3, 6) are collinear by using the…

A: To solve the following problem

Q: Find the derivative of the function y = In(5e – 9xe "). y = ||

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Q: in a river and wants to know how long it will take him to get 10km up ing location. The speed of the…

A: We will find the time taken to go 10 km Upstream.

Q: - 1)*dx

A: ∫02 (x-1)2dx ∫02 x2 -2x +1dx [x3/3 -x2 +x ]02 8/3 - 4+2 -0 8/3 -2 (8-6)/3 2/3

Q: Find the area of the surface generated when the indicated arc is revolved about the x-axis.…

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Q: Apply some trigonometric identities, then integration by

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Q: Find the volume of the solid that results when the region enclosed by 4x 0, x = 1, and y = 0 is…

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Q: Evaluat each Integral. For definite integrals, give exa Only, S X (2-5x)*dx dt

A: Topic:- definite integration

Q: Verify that the function f(x) = x² – 8x + 5 satisfies the three hypotheses of Rolle's Theorem on the…

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Q: 7. Find A + 5B 8. Find 2A - C 9. Find 7C - 5D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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Q: Consider the following planes. -6x + y + z = 6 12x - 2y + 6z - 36 (a) Find the angle between the two…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: 4x + 5y = 10 x-1/5 = y+1/-4 = z-7 now make x in y form x-1/5 = y+1/-4 -4x +4 = 5y+5 4x =-5y -1 put…

Q: 25. Prove analytically that the four diagonals joining opposite vertices of a rectangular…

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Q: a) Coffee is being poured into the mug as shown in the figure at a constant rate (measured in volume…

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Q: Show that 2x° dx = [; 2r° dx + f zr* dx + [,2x° dx %3D

A: Given that,    ∫142x2dx=∫122x2dx+∫232x2dx+∫342x2dx

Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. 2x x* +7 xp-…

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Q: 1 is 1+a A power series representation for za+1 for | – z| <1 а. n=0 Ob. Σ 22n for |– a| < 1 Oc. z"…

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Q: Verify that the function f(x) = In(5x) satisfies the three hypotheses of the Mean Value Theorem on…

A: Given: f(x)=ln(5x) Notice that the function f(x) is continuous in the interval [1, 8] and…