1. Which equation can be solved by referencing the graph below? secx = tanx+1 tanx=cscx Otanx+1=cscx tanx secx 12 112 14 3112 7:4 2m 94 50/2

Q: 6. The function f(x) is defined by the graph. State the value of each: c) lim f(x) = x →-1 d) f(4) =

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Q: What is the smallest value of the number n so that the graph of the following function have a…

A: f(x)= (-2x4+1)/(6xn-3x2-1)We have to find smallest value of n for f(x) has horizontal asymptotes

Q: A region bounded by f(x) = 5 - x, y = 1, and x = 1 is shown. What is the volume of the solid formed…

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Q: Find the Volume V(S) of the solid S generated by given R: R is the region bounded by y=6-x² and…

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Q: 3. integrate mathematical statements into grammatically correct expositions. Assignment: Find all…

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Q: 4 For the function f(x,y,z) = 3 + xy² – 4z², find f, fy, and f₂

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Q: In how many ways can an investor select four mutual funds for his investment portfolio from a…

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Q: 6. Determine values for a, b, and c such that the function f(x) = x³ + ax² + bx+c has a y-intercept…

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Q: Below is the graph of a function. Which of the following could be a graph of its c 3 2 1 -2 T3/ 1 2…

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Q: 6. Twenty mathematics textbooks must be stacked in a row on a shelf. There are 5 identical calculus…

A: This is question of permutation and combination.Here we have to use of both Further calculation is…

Q: Q2. The number N of bacteria in a culture at time t is given by N = 2000 (30+ te -70). 1 Determine…

A: The number of bacteria in a culture is given by We need to find the largest number of bacteria in…

Q: For the function f(x,y,z)= In (3x +2y +9z), find fx, fy, and f₂.

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Q: If sin t = 3, and t is in quadrant I, find the exact value of sin (2 t), cos (2 t), and 3' tan (2 t)…

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Q: Find the area of a shape that is enclosed by curves y^2=4x and x^2=4y.

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Q: Simplify the following expressions. sin x sec x sec² x-tan²x+cot² x sin² x cos 2x-cosx sin 2x+sin x

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Q: By using double integrals, find the surface area of the portion of that lies inside the cylinder x²…

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Q: Use Simpson's Rule with n=6 to estimate the length of the curve y = 3 sinx, 0≤x≤ π Round your answer…

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Q: 8. Find y'if y = x³ +sin (x)

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Q: 3. Determine vector and parametric equations of the plane with Cartesian equation 3x - 2y + z + 6 =…

A: Given equation is 3x -2y +z +6 = 0

Q: Evaluate the integral. √(-8si + 5s²j + 2k) ds = a(t)i + b(t)j + c(t)k (Use symbolic notation and…

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Q: Find the derivative of the function at Po in the direction of A f(x,y) = - 4xy-4y², Po(-5,4), A=…

A: Given :- The function To Find :- The derivative of the function at P0  in the direction of A.

Q: The per capita growth rate of a population of cells varies over the course of a day. Assume that…

A: Given differential equation

Q: Find Vf at the given point. f(x,y,z)=x² + y² - 3z²+z Inx. (1,4,3) Vf|(1,4,3)+(+(k (Simplify your…

A: Given:We are required to find:

Q: Determine the interval(s) on which the function is (a) increasing, (b) decreasing, and (c) constant.…

A: Graph is given.

Q: For the following lines: L₁: x =− 3 + 3t, y =− 1 + 4t and L₂: 2 a) Determine the point of…

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Q: Determine the Cartesian equation of the plane containing these lines: y+10 z+2 L₁: = +70 = 23² and…

A: Normal vectorof the plane would be perpendicular to both the lines L1 and L2. So, parallel to L1xL2.…

Q: Use the graph of y = f(x) to answer the question. For what values of x is f(x) ≤0? -17 (-2,3)…

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Q: Assuming - 2x³ + 4y² + 6xy = 0 defines y as a differentiable function of x, use the theorem dy dx -…

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Q: Evaluate the integral. (Give your answer using component form or standard basis vectors. Express…

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Q: Assignment: Find all exact solutions to the following equations: 2e (3x+5) cos(x³ + 1) = 0 Include a…

A: We will set each factor on the left side of equation equal to zero to solve the equation.

Q: Find the general solution to the differential equation y = x¹ tan(y) y = sin-1 [cer³15] Use the…

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Q: Calculate 1 10 1 x² dx.

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Q: The following table gives some of the values of g(x), g'(x), f(x) and f'(x): Use the table to find…

A: Question 1)We first need to find the derivative then apply the values from table:-Now, we find the…

Q: For what value of the number k is the following function continuous at r=2 if x 2 f(x) = = (A) 3…

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Q: The graph of y = f(x) is graphed below. What is the end behavior of f(x)? 6.4 5.6 4.8 4 3.2 2.4 1.6…

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Q: Jane is taking a history class. The teacher states that the population of a country is shrinking at…

A: Size of the population, P = 10e0.5t

Q: Let f(x,y) = x² − xy + y² − y. Find the directions u and the values of Df(1, -1) for which the…

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Q: Let f(x, y) = 125-3x²-2y2² Evaluate f(0, 3)

A: f(x,y)=sqrt(125-3x2-2y2)Find f(0,3)

Q: Find a parametrization of the tangent line to r(t) = (ln(t))i +t-¹¹j + 8tk at the point t = 1. (Use…

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Q: Questions #8 to #12 pertain to the accompanying Venn diagram. 8. If n(AUB) = 40, what is the value…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curve about the…

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Q: 5π Determine the exact value of sin- 12

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Q: Determine the exact value (no decimals) of the slope of the tangent line to πT f(x) = −2 sin x at…

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Q: What is the formula for the total distance traveled by an object with a velocity v(t) = sin(t) on…

A: To find the formula for the total distance traveled by an object with a velocity  on the interval .

Q: Find the transition matrix from B toB'  B = {(1, 0, 0), (0, 1, 0), (0, 0, 1)}, B' = {(0, 0, 1), (1,…

A: Given :- To Find :- The transition matrix from B toB'

Q: By considering different paths of approach, show that the function below has no limit as…

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Q: Find a parametrization of the tangent line to r(t) = (ln(t))i +t-¹¹j + 8tk at the point t = 1. (Use…

A: Given that ,find the parametrization of the tangent line at the point .

Q: Find the solution of the differential equation r' (t) = 5r(t) with the initial condition r(0) = (2,…

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Q: True f must be continuous in its domain? or false: If f(x) is differentiable in its domain then

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Q: Find all the second-order partial derivatives of the following function. v=2yet²-6y W

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