1) Find the exact value of each trigonometric expressions. (sin (-) b) cse (sin- (-)) a) cos-1

Q: A math course has two midterms and a final exam. Midterm 1 is worth 18% of the final grade, midterm…

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Q: The following puzzle was put on the board. We are two natural numbers. Our difference is 30, and our…

A: We have to solve the puzzle

Q: Assume that the linear cost model applies. If the total cost of producing 1600 items at $15 each is…

A: here we want linear relation  for 1600 item cost for each is $15 1600*15 = $24000 so extra is 24410…

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all…

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Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

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Q: ciderivative of F(X, for x = 0.784 and y = 0.7. Note: Use

A: We have to find the value of C according to the given information

Q: Use scratch paper to complete the table below, and estimate the value of the lim,0* f(x) where f(x)…

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Q: A bacteria grows using the given model: dB/dt = 0.2B(1 - (B/100)) ; B(0) = 5 Find B(t). Find the…

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Q: Consider the following. u = -6i – 2j - 4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find…

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Q: Use implicit differentiation to find dz/dx and dz/dy. yz = 2 In(x + z) dz ax ze dy II II

A: Consider a function f(x,y,z) .Then to find ∂f∂x ,differentiate f with respect to x taking y and z as…

Q: Match the integral expression on the left to its suitable transformation on the right, after using…

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Q: 5. Solve: x4-log2 x = 16 %3D

A: To solve the following equation.x4-log2 x=16

Q: The coefficient of Ssin(x) in the antiderivative of is 15/32 (use fraction form not decimal no…

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Q: The population P(t) of a bacteria culture is given by P(t)=-1,500t2+60,000t+10,000, where t is the…

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Q: 2. ts): Find the absolute maximum / minimum values of the function f(x) = x(6-x) over the interval…

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Q: n(-5)" converges or diverges. n! Use the ratio test to determine whether n=16 (a) Find the ratio of…

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Q: Using the simplex method solve the linear programming problem. maximize z= 8x1 + 10x2 + 7x3…

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Q: Write an expression, of the type A log(x • B), for the transformed logarithmic function shown below:…

A: Given query is to find the function for indicated graph

Q: Find a polar equation in the form r= f(θ) of the hyperbola with eccentricity e= 4 such that one of…

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Q: Differentiate the function. ((5y + 1)3 Vy2 + 1 G(y) = In G'(y) =

A: Solve the following question

Q: Determine the value of the arbitrary constant of the antriderivative of F(X) = x-In(x) given the…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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

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Q: (c) If 0 < k < n, prove the formula n(n - 1) -- (п - k+ 1) k k! (d) A class contains 10 students, 6…

A: The difference between permutation and combination is that A permutation is a method of arranging…

Q: The length of a rectangle is increasing at a rate of 7cm/s and its width is increasing at a rate of…

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Q: The r.m.s. value of f(t) = t² across [1,4] is %3D

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Q: pdf. Carefully sketch a function which has the following sign charts. + + f' x=0 x-2 f" x-1 +

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Q: Using two or more complete sentences, describe how you can find a vector parallel to 6 = (-3,2).

A: This question can be solved using the concept of parallel vectors.

Q: Evaluate the integral of the following sin42xcos³2x dx

A: We will evaluate the integral.

Q: STUDY GUIDE Question 11-Find the coefficient a of the term in the expansion of the binomial. a.)…

A: The given question has been solved in detail.

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: ind the distance between the point and the plane. (Round your answer to three decimal places.) (5,…

A: We have to find the distance of the plane

Q: Find the relative maximum /minimum values of thefunction S(x) = -2 r+2 State where the function is…

A: Solution is given below:

Q: Let y = 5x + 4c +3. If Ar 0.1 at z 5, use linear approximation to estimate Ay

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Q: True or false: 1. Is the limit of f(x) as x approaches c always equal to f(c)?  2. Limits of…

A: topic - limits

Q: Determine whether or not the following are continuous functions. Sketch the graph

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Q: Consider the following. x +3 2-x- 12 f(x) = Find the x-value (if any) at which fis not continuous.…

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Q: Late dx sec2 x (b) [*. dx /1 – tan² x VT(x+4) |

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Q: SAQ 2: If f(x) = then using the table of values show that lim f(x) does exist %3D X-1 and find the…

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Q: f(x) = x- 50x² + 4 (a) Find the interval on which f is increasing. (Enter your answer using interval…

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Q: S(-uP +2u7 + uP)du No appropriate Match Question 6 S(-u° -2u7 - P)du Match the integral expression…

A: Solving the problem by finding the proper substitution.

Q: 1 dx, x > 2 x2 Vx2 – 4

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Q: Q8. The general solution of the differential equation dy x-1 %3D -2 is dx y+2' Y #

A: Given query is to find the solution of the differential equation.

Q: Use Forward and Backward differentiation to calculate f' (1) as accurately as you can. Let h = 0.08…

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Q: Find the derivative of the function. y = cos( V sin(tan(3x)) y' =

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Q: What is 56÷4

A: 56 divided by 4=14

Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y – 2z = 5 4x - 20y - 4z =…

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Q: Write an equation for the transformed logarithm shown below, that passes through (2,0) and (-2,3)…

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Q: Find all zeros of f(x) = x° – 7x + 12x – 6. Enter the zeros separated by commas. Enter exact value,…

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Q: mp must make an angi must a 15-foot ramp make with the ground to reach the same window? 30° 16° O…

A: Given query is to find indicated angle.