-T - r(t) = (√√t² — 1, log (t² − 3t + 2),-

Q: ou have the formula y = 3x + 12. Calculate x then y = 45

A: An equation is defined as a statement that shows that two mathematical expressions are equal."Since…

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A: We know that the formula(f+g)(x)=f(x)+g(x)

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Q: y = Fan (x)

A: The function is,

Q: 39. So In x x2 dx

A: ∫ lnx / x  limit 0 to 1

Q: Evaluate the surface integral. √√x xyz dS, S is the cone with parametric equations x = u 7 cos(v), y…

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Q: Let F(x) = (x − 2)² + 1 tan (x-2) Find lim F(x). x+2+ lim F(x) = x+2+ x < 2 2 ≤ x

A: Given:We are required to find:

Q: a. If A commutes with a b [86] 0 a A = 0 1 [8]. 0 for some a and b. A = b. If A commutes with - [aa]…

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Q: The information in the following problem allows you to construct 1 triangle. A = 30°, a = 1 m, b = 2…

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Q: Assuming annual compounding, find how long it would take for the general level of prices to double…

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Q: (49-12)3/2 +6 - dt

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Q: 32. f(cotx - tan x)² dx

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Q: Graph-2 log4 Answer Code: Veritcal Asymptote: x=0 6- 2 15 X (x+4) ) +2 PointA (0, 0) PointB(0, 0)…

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Q: Let u(x) = sin(x) and v(x) : u'(x) = v'(x) = f' = u'v - uv' v² = x¹6 and f(x) 16 = x = u(x) v(x)

A: Given that   u(x) = sin(x)    v(x) = x16   and f(x) = (u(x))/(v(x))

Q: (c) (d) S. 25 ∞ 2x³ dx 1 -2x +4 dx

A: c) d)

Q: 6. Show that for any cubic function of the form y = ax³ + bx² + cx+d there is a single point of…

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Q: Use the Law of Cosines to solve for the largest angle in the triangle with the given measures. Round…

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Q: How do I convert that anwser to an interval notation?

A: Find The Interval of Convergence of the Power Series :

Q: The equation of motion of a particle is s = 2t³ - 9t² + 4t +4, where s is in meters and t is in…

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Q: Find the average of the squared distance between the origin and points in the solid cylinder D=…

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Q: Evaluate (sin x) sec x d dx

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Q: Find the area of the surface obtained by rotating the curve y = √x, 0<x< 1 about the x-axis.

A: To find:-

Q: 3. Use logarithmic differentiation to find an equation for the tangent line to the curve y = x at…

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Q: Multiple choice. Part E. (csc x) d dx (A) csc²x (B) csc x cot x 1 (C) 2 1+x -1 (D) tan x (E) None of…

A: The given derivative .We have to find the given derivative.

Q: Consider the following. Use the figure to sketch a graph of the specified vector UIV u-v y U-V P U-V

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Q: How did you get the 1 over x^2 in the denominator: -x(8+ 1/x^2)?

A: We have to find the limit of the function:    when x approaches to infinity.

Q: Answer 4 (c) and (d)

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Q: olve the equation 8cos8+4=10. Express the answer in degree measure and approximate the angular…

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Q: Chris Lynch plans to invest $500 into a money market account. Find the interest rate that is needed…

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Q: To find the vertical component of a vector (a. b) the following formula can be used: cos@=; True O…

A: we need to find the given statement is TRUE or FALSE.

Q: How many solutions does the following equation have on the interval [0, 2]? 4cos28=8cos²20 4 9 0 8

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Q: Verify the following identity: sin(a+B) + sin(a - B) = 2sinacosß Use the paperclip button be

A: We use the sum to product formulas to prove the given identity.

Q: Find the derivative of the following function. A=560(1.795)

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Q: Find the length of the curve x(t) = et cos(t), y(t) = et sin(t) for 0 ≤ t ≤ 3. Give an exact answer,…

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Q: a) Create the vector & parametric equations for the line, L2 that passes through the L₁ x 3-2t : = y…

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Q: X 17. S + x) dx -)dx 6 2² CSC

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Use Stokes' theorem to evaluate F. dr. F(x, y, z) = zexi + (z - 9y³)j + (x - 5z³)k, C is the circle…

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Q: Show that the differential form in the integral is exact. Then evaluate the integral. (0,3,1)…

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Q: Compute the derivatives by any method (do not oversimplify): g(x) = sin x cos x ex

A: given g(X) =use the product rule

Q: 12. Find a Taylor series representation for the function f(x) = sin(x) about a = 2 (a) 1 - (x-7² 2!…

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Q: 5. Which measure of central tendency offers the most significant advantages? Explain your position.

A: Which measure of central tendency offers the most significant advantages? Explain your position.

Q: Find the arc length of the function f(x) = x³ +1 on the interval [0.1, 1] Dal

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Q: Use suitable sum-to-product formulas to rewrite the following expression in terms of tan3x. sin 2x +…

A: Given:We are required to:

Q: Find the area of the surface. the helicoid (or spiral ramp) with vector equation r(u, v) = u cos(v)i…

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Q: Describe the following graph. Your description should include each of the six categories. AV Q Q G

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Q: What is lim h(x)? x-1 Provide your answer below: h(x) 2sin (x) In (x5)

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Q: Determine which set of vectors is not orthogonal. v = (-10,0), w = (0,5) v = (0,1), w = (0,1) O O v…

A: If two vectors are orthogonal then the dot product of the vectors is 0.

Q: Multiple choice. Part F. If y = x (A) sin x (B) 95! ,95 95 d' y 95 100! 5 (C) -X 5! 2 dx (D) 0 (E)…

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Q: Solve the differential equation by variation of parameters. 2y" - 4y + 4y = ex sec x y(x) =

A: