Find the most general antiderivative F(x) given the function below. f(x) = -10 sec² (x) - 6 csc² (x) Provide your answer below:

Q: 1. Convert the following general form to standard form of parabola. 4x²-24-40y-4-0 b. x²-2x-6y+25=0…

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Q: Consider the function f(x) = 2 – 5x², −5 ≤ x ≤ 1 - The absolute maximum value is and this occurs at…

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Q: The function f(x) = 2x³ - 45x² + 300x + 9 has one local minimum and one local maximum. Use a graph…

A: Topic - Local extrema's of a function We are given an equation, f(x)=2x3-45x2+300x+9And it's known…

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Q: Determine the vertex, pocus, directrix and axis of symmetry of the parabola with the given equation.…

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Q: 1. xe3xdx

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Q: (b) Let rzi+yj + zk, and let r= ||r||. If f is a differentiable function of one variable, show that…

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Q: 4 16-y² •LIV (1 − g? _ g) dedy. 2. Use polar coordinates to evaluate

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Q: nd the value of f(e¹0). e¹⁰) e¹0) =_

A: We have to find the value of f(e^10)

Q: Evaluate the integral below taking as the region bounded by y = x and y = x². ]] (3x (3x + 1)dxdy

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Q: n^3/n^3

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Q: A water tank in the shape of an inverted circular cone has a base radius of 2 m and height of 3 m.…

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Q: 35-40 Find the horizontal and vertical asymptotes of each curve. You may want to use a graphing…

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Q: If the rate of change of a population is directly proportional to the square of the population and…

A: If the rate of change of a population is directly proportional to the square of the population and…

Q: 2) Evaluate the definite integral cos a dx. Round your answer to 4 decimal places.

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Q: Use linear approximation, i.e. the tangent line, to 1 1 as follows: Let f(x) = and find the…

A: We need to approximate value.

Q: A box with a volume of 8m³ is to be constructed with a gold-plated top, silver-plated bottom, and…

A: Given:         Assuming the box is a cube.         The volume of cube = side³           side3=8…

Q: If sin x = sin y = a and cos x = cos y = b, then cos (x - y) is equivalent to A. OB. C. D. b²-a² b²+…

A: Given sin(x)=sin(y)=acos(x)=cos(y)=b

Q: Let Give the 2,1 entry of 4-¹. a) 0-¹ b) 0¹/2 c) 03/2 d) 0-5 e) 0-2 f) O None of the above. 02 2 A-1…

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Q: Find the next three numbers in each sequence. Then classify the sequence as linear growth,…

A: Given , two sequences below a) 2,5,10,13,28,21,26,_,_,_ b) 3,6.5,10,13.5,17,20.5,_,_,_ we need to…

Q: COMPLETE STEPS AND SOLUTION [NO SHORTCUTS], SIMPLIFY IF POSSIBLE 3. Find the differential equation…

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Q: What is the x-coordinate of the point of intersection for the two equations shown below? ما الإحداثي…

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Q: Problem 10. (a) an = n³ n³+1 Determine whether the sequence converges or diverges. (ln(n))² (c) cn =…

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Q: K A Coast Guard Station Able is located L=200 miles due south of Station Baker. A ship at sea sends…

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Q: Find the slope of the following lines.

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Q: 6. 2 S²³ x5 ln x d

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Q: to x years is Ix = -0.000354x 3 + 0.00452x²³² + 0.848x²-34.9% + 20,000 age 0≤x≤ 95.2 Find the rate…

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Q: Determine whether the integral is convergent or divergent. 100 (x - 6)³ 8 S² O convergent O…

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Q: An object is projected directly upward from the ground with an initial velocity of 128feet per…

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Q: Question 1 [ a) [ b). Consider the function f(x)=x²+3x+c Find the domain of f(x) in terms of c on…

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Q: Find the critical points of the function x3 ² + 2x² - + 2x² - 12x. 3 Use a comma to separate…

A: for critical points  f'(x)=0d dx(xn)=nxn-1

Q: The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of…

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Q: raph of the function f(x) = x³ + 2x - 1. So, the point (2,1) lies i (f¹)'(2). (Here f-1 denotes the…

A: Given query is to find indicated function.

Q: Use polar coordinates to find the volume of the solid bounded by the parabolas z = 3x² + 3y² and z =…

A: The solid is bounded by the curves:z=3x2+3y2        and          z=4-x2-y2

Q: Calculate all four second-order partial derivatives of f(x,y) = 5x²y + 3xy³. fxx (x, y) = = fxy(x,…

A: Given, f(x,y)=5x2y+3xy3

Q: Consider the following. e-10x = 2 (a) Find the exact solution of the exponential equation in terms…

A: As we know that lnem=m lne=m  as lne=1

Q: 2) Solve the given Variable separable DE 1) x cos² y dx + tany dy =0

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Q: Calculate 25 j by writing it as a difference of two sums and using one of the Power Sums formulas.…

A: To find:- ∑j=76250j

Q: 3. The area of a circle increases at a rate of 47 cm²/s. How fast is the radius changing when the…

A: We can find the required answer in the below steps using the given data.

Q: 8. Find an equation of the parabola with vertex at (-1,4) and y=5 as the line of directrix. Draw the…

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Q: For what values of the numbers a and b does the function f(x) axebr² have the maximum value f(1) =…

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Q: Suppose wexy + yz² while x(s, t) = s+t, y(s, t) = cos(s), and z(s, t) = est. Determine Əw Əw and Əs…

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Q: Solve for Higher Order L.D.E

A: To solve the given higher order differential equation

Q: intervals on which the graph of f is concave​ upward, the intervals on which the graph of f is…

A: Given query is to find concavity of the graph and inflection points.

Q: Esc [3] Use a first derivative test with a well written conclusion to state the local min and max…

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Q: 1. Determine the type of conic section that each general equation will produce. Show your solution.…

A: As per the rules, we are supposed to answer the first question and rest can be reposted.

Q: 2. Obtain the general solution by the indicated technique: separation of variables 2.1…

A: 2. According to question,2.1 Given Differential equation,2a2-r2dr =r3 sin θ dθ,We have to solve this…

Q: ) Obtain the differential equation of the family of plane curve described and sketch at least 5…

A: We have to find the differential equation of the family of plane curves, that is "straight lines…

Q: 23. y = 2 x² + 1 x² - 1 3

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Q: Let f(x,y) = 2x^2 + xy −y^2. Prove that the directional derivative of f(x,y) at point x = (3,−2) in…

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