Question 2 What is the value of f(x)=3*+1 -2 for f(-1)? A -2 B -1 C 1 D 2

Q: Consider the vector field F = (x³y¹, x¹y³) Is this vector field Conservative If so: Find a function…

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Q: Use the given zero to find all the zerus of the function function 12 3 Jor f(x)=x²³² + x^² + 9x+9…

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Q: A truck rental company rents a moving truck for one day by charging $21 plus $0.10 per mile. Write a…

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Q: Determine the quadratic function whose graph is given below. -10 (-1,7) -5 (0,-5) -10- -20- (3,7) 10…

A: a graph of quadratic function is given.

Q: Using known power series, find the Taylor series of f(x) = e-x² + cos x centered at a = 0 and state…

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Q: The table shows monthly payments on a $1000 loan. Monthly Payments (dollars) per $1000 Loan Interest…

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Q: f" (x)= x(x-1)²(x + 2)³ g" (x) = x(x - 1)²(x + 2)³ + 1 h" (x) = x(x − 1)²(x + 2)³ - 1 The…

A: For any function R(x), At its inflection point, R''(x) = 0 Therefore, at the inflection points of…

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 0.…

A: given function f(x,y)=xy3-x2

Q: 45° P = |P|=49 a Find the component form of the vector shown above.

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Q: Use Separation of Variables to find the general solution. 3y': = x sec (y) (Express numbers in exact…

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Q: In k (a) Given the infinite series k k=3 property that f(k)= ak for all positive integers k ≥ 3. (b)…

A: (a) Given the infinite series ∑k=3∞ ln kk, then to find a function f with  the property that fk=ak…

Q: Determine the directional derivative of f(x,y)=x² + x cos(3y) at (1,0) in the direction of (3, 4).

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Q: Let f(x)= = 9 sin x 4 sin x + 2 cos x Then f'(x) = 9/(2(2sin(x)+ cos(x))^2) The equation of the…

A: Given that , fx=9sinx4sinx+2cosx find f'x and equation of tangent line.

Q: A company determines that its weekly online​ sales, S(t)​,in hundreds of​ dollars, t weeks after…

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Q: A. Find an equation of the line that satisfies the given conditions. Through (−4, −5);  slope − 7/2…

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Q: find the derivative y' of each of the following c)y=xsin^k(12x) where k is a positive integer

A: y=xsink12x

Q: Solve f(x) = g(x). What are the points of intersection of the graphs of the two functions? f(x) =…

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Q: At an annual rate of 6.7% how long will it take the consumer price index to double? Round to 2…

A: Let principal amount = P Let final amount = A Let interest rate = r let time = t

Q: a. Write row 8 of Pascal’s triangle, and explain how you found it.  b. Write the 11th row of…

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Q: The velocity (in m/s) of an object moving along a straight line is given by (see photo)   Find the…

A: The velocity (in m/s) of an object moving along a straight line is given by vt=18t4 To find the…

Q: A cylinder is inscribed in a right circular cone of height 4 and radius (at the base) equal to 6.…

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Q: Exercise (b) Write a formula that gives the amount of protein in a mixture of a pounds of alfalfa…

A: 25 pounds of alfalfa and 40 pounds of wheat mids, we have to find how many pounds of protein are in…

Q: Calculate R8 for f(x) = 10 − x over [3, 5]. R8

A: f(x)= 10-x Over [3,5] We have to calculate R8

Q: i tried putting in the answers and it showed the amplitude and midline as correct but marked the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use Separation of Variables to find the general solution. 2 (1 + x²) y = x³y (Express numbers in…

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Q: A car rental company charges 60 dollars per day, 10 cents per kilometre driven, and a 40 dollar…

A: Given query is to calculate the cost function.

Q: Consider the following function. 3 |x ³³ 11 f(x) = X 0.5 0.9 0.99 0.999 -5 (a) Find the domain of…

A: Consider the graph of the function

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: se Green's theorem to evaluate line integral 2 √9+ x³ dx + 6xy dy where C is a triangle with…

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Q: The Taylor polynomial P(x) about 0 approximates f(x) with error En(x) and the Taylor series…

A: The solution is shown in step-2

Q: Determine the volume of the solid in the first octant bounded x + z² = 4, and the plane y y the…

A: Consider the provided information, The cylinder x2+z2=4. And the plane z+y=2. Find the volume of the…

Q: Farmer Ed has 9,500 meters of fencing, and wants to enclose a rectangular plot that borders on a…

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Q: Find the length of the curve: r(t) = i + 14tj + 7t4k over the interval [1,5].

A: We need to find length of curve.

Q: 3. Determine the coordinates on the unit circle for the following angles (given in radians). 0= 5.22…

A: Question number 3: Given: θ=5.22 radians We are required to find: The co-ordinates on the unit…

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Q: 1. Convergence of a sequence and its series. Given: 90 gn Determine: A₁ An = (a) whether (An) is…

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Q: 6. Suppose that h(x) = g(f(x)) is a function where f(1) = 2 and f'(1) = 3, g(1) = 7, g'(1) = -4,…

A: Given thath(x)=g(f(x))f(1)=2, f'(1)=3, g(1)=7, g(2)=6, g'(2)=1We need to find tangent to h(x) at…

Q: Find the real zeros of the quadratic function using any method you wish. What are the x-intercepts,…

A: The given function is;  f(x)=x2+x-5

Q: Let A(z) = f(t)dt, with f(x) shown in the graph below.

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Q: . Consider f(x)=3-4x² + 12x + 1. Find both the absolute maximum and absolute minimum of the function…

A: fx=x33-4x2+12x+1

Q: 5. Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3-x² and…

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Q: ζο (c) (k+1) k 3k

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Q: Approximate the area under the curve graphed below from x approximation with 5 subdivisions. 4 3 2 3…

A: We are given with the graph  we need to find the area using left endpoint approximation

Q: 8 Σ (—1)k+1xk k

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Q: Suppose that f(x, y) = y√³+1 on the domain D = {(z,y) | 0 ≤ y ≤z≤ 2}. a Then the double integral of…

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Q: Evaluate 1.² F. dr where F = (0, –4y, 2x), and C is given by 7(t) = (t, sin(t), cos(t)), 0≤t≤π

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Q: apply the Limit Comparison Test to determine whether the given series converges or diverges. In n 8T…

A: ∑n=1∞ln nn

Q: Find the area under the graph of f over the interval [1,6].   ​f(x)= x+5, for x≤5 15−12x, for x>5…

A: find area of the given function over the interval [1, 6] .

Q: Use Separation of Variables to find the general solution. 30x² y³ y' - = 0 (Express numbers in exact…

A: We need to solve D.E. by using variable separation method.

Q: Find an antiderivative F(x) with F'(x) = f(x) = 5 + 24x³ + 21x6 and F (1) = 0. Remember to include a…

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