T 12.Given h(x)=xinx find the equation of the tangent line at x == 2

Q: Find the Taylor series for f(x) = cos(x) about a = k I'm

A: The given function .The aim is to find the Taylor series for  about .

Q: Find the area under the given curve over the indicated interval. y=x²; [3,5] The area under the…

A: y=x2, [3,5]

Q: Evaluate the indefinite integral as a power series. /₁ +30 dt 1-3 C + Σ( n = 0 What is the radius of…

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Q: Evaluate the definite integral a) Find an anti-derivative b) Evaluate 4 f If needed, round part b to…

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Q: If all the derivatives of f are defined, and f(3) = 2, ƒ' (3) = −1, f" (3) = 6, ƒ"" (3) = 15 The…

A: Given,

Q: Find the length of the spiraling polar curve r = 7e20 for 0 ≤ 0≤ 2π. Round the results places. The…

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Q: Sketch the region enclosed by the curves y = 1- cosx, y = sinx, x=0, x= π/2. Find the area, A, of…

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Q: function given 6x^2 ln(x), x>0  use interval notation to indicate where f(x) is concave up. use…

A: We need to find concavity intervals and inflection points.

Q: The curve graphed below has equation y Q7.1: y = 3 1+ 4x² (x,y) X Find the dimensions of the…

A: We have given the equation of the curve where . Also the rectangle has one corner at (0,0) and the…

Q: Evaluate the integral by making an appropriate substitution. sin 11(x)cos(zx) dx = i

A: I have appended the formula used in the solution procedure

Q: Find, where y is defined as a function of x implicitly by the equation below. x² + x¹y³ = -3 Sorry,…

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Q: Elizabeth must choose between two job offers. The first job offers $51,000 for the first year and a…

A: Elizabeth have two job offers.First job offers  for first year and a  raise after each year.Second…

Q: Find the indefinite integral. (Use C for the constant of integration.) /(- 800 (0.04p - 1)3) Now…

A: To solve:

Q: Is the series convergent or divergent? If convergent, is it absolutely convergent? M8 n=1 (−1)n √n

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Q: Walt goes for a 12-min walk. His pedometer shows his speed, v(t), in miles per hour, for 1-min…

A: 1 min interval

Q: he general solution of the linear system ÿ' = Aÿ is etermine the constant coefficient matrix A. -188…

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Q: Use the form of the definition of the integral to evaluate S L.² (₁. (4 - 2x) dx the properties of…

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Q: Question What is the first derivative of h(x) = = 4(x³) ? Provide your answer below: h'(x)= =

A: Here we have given a function h(x).

Q: a) find the linearization L(x) of f(x) at x=a.  b) how accurate is the approximation L(a + 0.1) =…

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Q: Find the indicated term of the sequence. The eleventh term of the arithmetic sequence-10, -14, -18,…

A: The arithmetic sequence is given byTo determine: The eleventh term of the arithmetic sequence.The…

Q: A graph is defined by the equation 3x²-√√2xy + y² =3. Part A: Find dy dx Part B: Find the equation…

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Q: Solve the equation. 2 9-9 sin 0 = 6 cos ²0

A: 9−9sin⁡θ=6cos2⁡θsin2⁡θ+cos2⁡θ=1cos2⁡θ=1−sin2⁡θ

Q: Find the cost function for the marginal cost and fixed cost. C = Marginal Cost dC dx = +√√x 70 X +…

A: The marginal cost is

Q: Write the following logarithmic equation in its equivalent exponential form. y = ln(7) The equation…

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Q: Find the points on the curve x = t² - 4t+7, y = t² + 18t – 8 that have: A. a horizontal tangent line…

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Q: Solve the following triangle. A = 20°, B=10°, a=2 0 C≈ (Simplify your answer.) ba (Type an integer…

A: A=20 degreeB=10 degreea=2

Q: Question 什 -10-9-8 -7 -6 Find lim f(x) given the graph of f (x) shown above. X-2 Select the correct…

A: From given graph

Q: Evaluate the integral: fe²* sin 3xdx

A: The given integral .The aim is to evaluate the given integral.Formulas used:

Q: Find the area of the shaded region. f(x)=x² - 4x³ + 12x², g(x) = - 3x +90 (-2,96) -5 100- 19 -10-…

A: find the area of the shaded regionf(x)=x4 -4x3 + 12 x2 , g(x) = - 3x + 90

Q: When using the Richter scale, all earthquakes are compared to a zero-level earthquake whose…

A: When using the Richter scale, all earthquakes are compared to a zero-level earthquake whose…

Q: Consider the solid created by rotating the region under y = 1/x for 1 ≤ x <∞o about the x-axis.

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 6 [[P+…

A: Let assume,

Q: Evaluate the integral ³ arctan (1)dx O tan¹ (3)- O(2√3-3)π + ln(2) O None of these O(2√3-3)π-In(2) O…

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Q: Consider the following dose-response curve: 540 R(x) = 1+539e-0.22 where x is in milligrams.…

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Q: Solve the triangle

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Q: est rate (compounded each year) t years after opening with $P is given by A(t) = P (1 + 100/…

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Q: Find the area of the surface over the given region. Use a computer algebra system to verify your…

A: We have to find the area of the surface over the given region.

Q: Find the length of the curve y=x^2 from x=0 to x=2

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: he surface area of the surface = (u cos v)i + (u sin v)j + (u)k, 0≤u ≤ 2 and

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Q: b) g(x)= arcsin(x²)

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Q: Convert the point (x, y, z) = (2, −3, 1) to spherical Give answers as positive values, either as or…

A: Convert the point (x,y,z)=(2,−3,1) to spherical coordinates.Using spherical…

Q: Let f(x) = -20 +7x² - 3x Determine the critical values of f. If multiple such values exist, enter…

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Q: Find the area between the curve and the x-axis over the indicated interval. 3 y=x: [1, 10] The area…

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Q: write a differential formula that estimates the given change in volume or surface area. then use the…

A: The volume of the sphere is .The aim is to find,The change in volume when the radius changes from…

Q: Which of the following differential equation is a variable separable type of differential equation?…

A: A differential equation is said to be a variable separable type if it can be expressed in the…

Q: Find a power series representation for the function. f(x)=x8 tan-1(x³) *(x) =Σ( n=0 xon+ 9(-1)n 2n…

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Q: A Let f be the function defined above. For what value of c, if any, is f continuous at x = 3 ? B (C)…

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Q: b= A = B= U a < o Use the right triangle and the given information to solve the triangle. a = 5, c=…

A: Given data regarding the question

Q: Evaluate. Assume u> 0 when In u appears. √x¹¹ ex¹² dx √x¹¹ ex¹² dx = (Type an exact answer.)

A: