Find the limit. NOTE: Enter the answer using round brackets. t² + 3 1 = lim t+oo 8t² +9' 5t, (?, ?)

Q: per ale hey sepalating 4. A line passes thru (5, 11) and cuts a right triangle with the coordinate…

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Q: The graph of a function f is given. Use the graph to estimate the following. y 5 (a) All the local…

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Q: Use Newton's method to approximate a root of the equation z + c + 3 - 0 as follows. Let I, = -1 be…

A: Let's find.

Q: x-2 lim 3x+5+2x' +2*

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Q: solve the following equation 2sin3x+sin2x+1=0, on the interval 0<x<2pi

A: 2sin(3x)+sin(2x)+1=0Let f(x)=2sin(3x)+sin(2x)+1 , 0&lt;x&lt;2πThe graph of f(x) is shown below:

Q: 2. Use the following partial graph of f(x) to answer the next question. f (x)' 10. The value of (f…

A: First we find f(x). Here f(x) is straight line which are passing through the point (4,0) and (0,6).…

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…

A: Follow the procedure given below.

Q: 2 Compute limx→14-x2 1 + X-1

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Q: n 9 = k=1 Note: Your answer should be in terms of n.

A: Solve the given

Q: 16 1 1 1 1 0 0 1 A : -1 1 1 Given the matrix A, find the determinant, adjoint and inverse.…

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Q: 4) A degree 3 polynomial function, P(x) has zeros x 2, x = 1, x = m and a leading coefficient of 1.…

A: Here, the polynomial P(x) is of degree 3 and has three zeros x=2,1 &amp; m and the leading…

Q: Find the number of distinguishable permutations of the letters in each word below. (a) tilted (b)…

A: This is a problem related to permutation and combination. Based on the general formula we will…

Q: Consider the vectors. 6i- j, -8i + 4j (a) Find the dot product of the two vectors. -52 (b) Find the…

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Q: Question 1 of 8 - /5 View Policies Current Attempt in Progress Find the arc length of the parametric…

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Q: Ginen the point P=(x,y) m @ - (a) find the distance ra/x²+y? the origin O = (0,0) to amol simplify r…

A: See the answer below

Q: 6. The initial population of a town was 12000. After 5 years the population increased to 38000…

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Q: Evaluate y' of the given functions: 1 Find y"'for y (x+4)3

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

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Q: approximate sin 85° Sin a to 4 decimal poths. Compart to ne exact value if you using P(x) of me…

A: Here, to find the Taylor polynomial of the function f(x)=sin x around the point a=π2 which is given…

Q: +² = x² dx

A: We have to solve the given differential equation

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

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Q: 9. A and B are unit vectors with an angle of 120° between them. Determine 3A +2B and it's direction.

A: We have to find the vector addition.   A→+B→=A→2+B→2+2A→B→cosθ

Q: Select the conic section represented by the equation. 13x 2 + 5y 2 - 6x + 3y - 5 = 0 circle point…

A: We can select the conic section as below.

Q: Find the area of the region bounded by the graphs of the equations. y = Vx -1, y = 2, y = 0 , x = 0…

A: We have to find the of the  region bounded by the given equations.

Q: Find two positive numbers that satisfy the given requirements. The sum is S and the product is a…

A: Given that the sum of two number is S

Q: 19x + 50 The average cost for a company to produce x units of a product is given by the function…

A: We have to solve above question and find the change average cost

Q: Find all partial derivatives of w = x sin(yz) – z In(xy)

A: To find all the partial derivative.

Q: determine which statement is true   x + 2y^2 + 20 = 0 (A) not a function (B) function; domain: R…

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

A: We can solve this as follows:

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

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

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Q: 5. Evaluate sin y - dy dx y

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Q: Find dy/dx: rsinx 1. у %3D Sm* 3t2 dt

A: I am attaching image so that you understand each and every step.

Q: Use Chain Rule to find ds given w = Vr² – 2y + z² and r = cos (st), y = -2s Int and z = s –

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Q: Consider the polar equation defined by r= 5 cos(2 sin 6), where 0<0< 2x. Determine the missing…

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Q: 9-x2 dx x2 Evaluate:

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Q: Convert the rectangular equation to an equation in cylindrical coordinates and spherical…

A: We have to convert the given equation.

Q: 3. Find the area bounded by a curve y? = 6x + 36 and the y - axis 4. Find. the area bounded by y =…

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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: 00 n³n² COS 5n³ +3, 1

A: See the answer below

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8ry 2y+1,…

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Q: Let C(x) =x +4x+1 dollars be the cost function, where the x represents the quantity. The !3!…

A: 1) Here, to find the 11th item.  Now, the cost of x quantity is given by: C(x)=25x2+4x+1

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: Find an equation of the tangent line to the graph of the function at the given poin y = x²ex - 2xex…

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Q: A radio transmission tower is 211 feet tall. A guy wire is to be attached 6 feet from the top and is…

A: We have to solve above question and find length of wire As per bartleby guidelines we have to solve…

Q: Below is a graph of f(x) = sin x. Find the total area trapped between the curve f(x), the x-axis,…

A: Follow the procedure given below.

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Given that å = i+ 53 -3k and b = 3ỉ – 23 +k are vectors in 3D. Find the value of ả x b and b xả…

A: Given; a→=i→+5j→-3k→, b→=3i→-2j→+k→

Q: 37. v = (60, 11}

A: Unit vector n→ in the direction of a vector v→ is given by, n→=v→v→, where v→ is the length of the…