Find an equation of the line tangent to the curve r = sin 30 at the point where 0 =

Q: A line is parameterized by x = 5 + tand y = 6t. (a) What part of the line do we get by restricting t…

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Q: determine maximum/mininum local values and its saddle points for this function  f(x,y) = 3x^4 +…

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Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: R(x)=0.005x3+0.02x2+0.4x(a)daily…

Q: Area: 7A square centimeters

A: The length is 7/3 cm and breadth is 3 cm or vice-versa for the perimeter to be minimum

Q: 1. Jx cos 3x dx

A: Question 1 is solved. Solving more than 1 is against the policy.

Q: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

A: Let's find.

Q: Let, \(f(x)=4x^2-12x+10\). Find: (a) the x- coordinate of all critical points, b) the open intervals…

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Q: 3. Write equation of the tangent line to the graph of the function f(x) = ecosx at one of the values…

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Q: The evaluation of S S 3y³e*ydxdy is e - 1 O

A: Given: ∫01∫0y2 3y3exydxdy

Q: Find the antiderivative of the function 4x3 - 2x2 +x - 5 dx

A: This question is based on indefinite integral.

Q: 38. Determine the integrating factor of the linear differential equation y' - (1 + tanx)y = e cos'x.…

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Q: At which point or line is the graph of r = 2 sin 0 + 2 cos 0 symmetric ? Select one: O the pole O…

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Q: Find the center of x 2 + y 2 - 10x - 8y + 1 = 0. (5, 4) (-5, -4) (-10, -8)

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Q: determine which statement is true {(x,y)|y=√9-4x2} (A) not a function (B) function; domain: [-3/2…

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Q: 14x + 1250 The average cost for a company to produce x units of a product is given by the function…

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Q: Find T(t) and N(t) at the given point. r(t) = (t² – 11)i + tj; t = 11 T(11) : N(11)

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Q: 3 -18 )x are repeated real, 11 = -3 = dz and the Given the eigenvalues for X' = (C eigenvector is K…

A: Solve the following

Q: Integrate the following using partial fraction decomposition: integral sign  [(3x2+4x+56)  /…

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Q: Suppose that , g(t) dt = v2 g(t) dt 1. g(u) du 2.

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Q: 5- If Die is rolled find the probability that never appear 2 a) b): d) 3

A: A Die is rolled, the probablity that never appear 2

Q: Find the derivative of the function. f(x) = ex2 + 2 %3D f'(x)

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Q: x+2x2-3x x²+4x+3 2) Evaluate lim -6-1. x→ -3 Show every step.

A: We can solve this as follows:

Q: 10) Find T4(x), the degree 4 taylor polynomial of the function for f(x) = cos(5x) centred at c = 2n…

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Q: Let й -, й- where A and Bare some constants. Given that ü+ 50 = find the value of the product A.B.…

A: A. B=48

Q: Select the conic section represented by the equation. 2x + 5y - 7 = 0 ellipse parabola point…

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Q: Which of the following Cartesian equations is equivalent to the polar equation T= 4 cos 0? Select…

A: We can convert from polar to cartesian equation as below.

Q: The volume V of a right circular cylinder is given by the formula V= Tr h, where r is the radius and…

A: Given that the volume V of a right circular cylinder is given by the formula V =(pi)r2h, where r is…

Q: Q1 - A coin throw three times find: 1. Sample space 2. Probability at least head appear twice…

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Q: Evaluate the following indefinite integral: dx r2 +1

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Q: An open box of maximum volume is to be made from a square piece of material, s- 12 inches on a side,…

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Q: Find the sum A+B+C of the constants A,B and C appearing in the Taylor series expansion given below:…

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Q: Shown below is a graph of a line in the Cartesian plane. What corresponding polar equation? 2 -1 -1…

A: As we know that; The intercept form of equation of a line; xa+yb=1 Where; The x-intercept is at a,0…

Q: Radioactive Carbon-14 The percentage Pof radioactive carbon- 14 remaining in a fossil after t years…

A: Note: As P and b for the first question are not given in the data provided by you. Solved the second…

Q: dy Use an appropriate technique to find dx from x? + y? = (2x² + 2y² – x)*.

A: We can solve this as follows:

Q: 3 The triple integral L (x + 2y – z)dxdydz is equal to

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Q: 44. V 3(-4V3. –2V3)

A: Given  Vector

Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

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Q: 4- The number of element in the sample space when you flip 3 coins together c) 6 d) 12

A: We can solve this as follows:

Q: g Ca) : -8) (uring logarithmic differentiation) 2 +4 11

A: We can find the derivative using logarithmic differentiation as below.

Q: What are all values ofk for which x'dx = 0?

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Q: Vx-5 1) Evaluate lim 10. x+25 X-25 Show every step.

A: We can find the limit as below

Q: 00 n³n² COS 5n³ +3, 1

A: See the answer below

Q: 4. The function A(t) = 2000(1.)' represents the growth of algae in a pound after time t (in hours).…

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Q: The given matrix is an absorbing stochastic matrix in standard form. Idently R and S and compute the…

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Q: п(х — for -1)" n(x – 4)" 2n n3D0 8.

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Q: Use the properties to evaluate the integrals. S (1+) du 1.

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Q: Find the vector

A: The vector r=<a,b> is written as, r(i)=ai+ bj

Q: Q3.4:Choose the appropriate answer: 1-If P(A)=0.7 ,P(B)=0.2, P(AnB) = 0.5,then P(A U B) = c)2 a)0.6…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: Evaluate y' of the given functions: (х-4) y = x2

A: Here is the solution:

Q: The particular solution of the following equation by using the D Operator y" + 2y' + 3y = -2x + 3

A: