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Q: 1+x² What is the slope of the tangent to the curve y=- 2x when x = 3?

A:

Q: Test for convergence or divergence with the Direct Comparison Test.

A: Refer to explanation section Explanation:

Q: Find the limit, if it exists, or type 'DNE' if it does not exist. J lim (x,y)→(0,-4) ev1x²+5y²

A:

Q: | √3 36 - 9x²dx

A:

Q: velocity (feet/sec) 30 20 10 10 20 30 time (seconds)

A: The given figure

Q: 8 a) sin(3x) dx b) 69 0 (x-2)² dx c) S L5xdx d) f/²In x dx

A:

Q: Remaining amount (gal) 20- 18- 16- 14- 12- 10- 8- 6- 4- 2- 0+ -O 1 -~ 2 3 4 5 6 Elapsed time (days)…

A: The minimum rate of consumption is 0 gallons per day, this occurs after 6 days. Explanation:Step…

Q: Consider the helix r(t) = (cos(4t), sin(4t), -2t). Compute, at t = : A. The unit tangent vector T…

A: Given that

Q: Marginal Revenue for Gaming Mice The quantity of Sensitech laser gaming mice demanded each month is…

A:

Q: Given: x-2, if x #-2 |3kx+5, if x=-2 Calculate k so h(x) is continuous. h(x)=

A:

Q: e) lim x-2- 4 A) - B) ∞ C) 0 D) DNE E) none of these

A: We need to find out the limit.

Q: Find all functions whose derivative is −11sin (x). Your computer is able to provide a hint that…

A: The given derivative of thenfunction is

Q: (20%) Use the following principle of differentiation y' = (y) = (y + Ay)− Y = lim Ay _ dy d = lim dx…

A: Solution is following in explanation step.

Q: How many ordered sequences are possible that contain two objects chosen from eleven? ordered…

A: Total objects  need to be chosen  to make possible ordered sequencesusing the formula of permutation…

Q: Determine the line of intersection of the two planes: x+y-z-2=0 and 2x-y+3z-1=0. Write the…

A:

Q: 3. Let f(x)= x+ - 8x2. What are the critical number(s)? a. X = = 0, x=-4, and x = 4 b. x = -2 and x…

A: Given a function f(x), critical numbers of the function f(x) are the values of x for which f'(x)=0…

Q: Question 1 A spherical tank with a radius of 3 metres is half full of water as sho Figure 1. It has…

A:

Q: Start with a line of length 19. Fold it twice to make an open topped rectangle. What is the max…

A: The objective of the question is to find the maximum height, length, and area of an open-topped…

Q: At how many points on the interval [0, π] does f(x) = sinx + sin2x satisfy the Mean Value Theorem?

A:

Q: Test for convergence or divergence with the Direct Comparison Test.

A: The given serie is convergent. Explanation: To apply the Direct Comparison Test, compare the given…

Q: Solve the integral by u-sub 4/3-e^x dx

A:

Q: Write an equation for the function whose graph is shown to the right. The graph shows a…

A: The shape of this graph matches a parabola, which is a rounded curve that opens upwards or downwards…

Q: Sketch a graph of f.

A: graph the given function

Q: b) [x³√9-2x dx (let u = √2x i.e. u=x√√2 )

A:

Q: Use variation of parameters to find a general solution to the differential equation given that the…

A:

Q: Consider the function. Find g'(x). g'(x) = Find g"(x). g'(x) = g"(2) = (+)-1 (²) = g(x) = 2x4 - 4x³…

A:

Q: Use cylindrical shells to find the volume of the solid generated by rotating the curve y = 10 ln(x)…

A: The region is bounded by the curve  and x-axis for

Q: Consider the function f(x) = at x = 0.8. Compute the value of f(0.8) and P₂(0.8) Round your answer…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) J tan-¹(7x) 1+ 49x² dx

A: The given integral is

Q: Hi, this is incorrect ?

A: To find a positive value of  such that the average value of  over the interval  is 20.

Q: Donald boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple…

A:

Q: Find the fourth degree Maclaurin polynomial for the function. f(x)= 1 x+2 Select one: O a. O b. -…

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Q: How do I find the hight of the building?

A:

Q: 5. Let f(x) = 3x³ + 2x + x+ 1 x²+x-2 . What types of asymptotes does f(x) have? horizontal and…

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Q: y = tan 8' [0, 2]

A:

Q: For y = f(x) = 7x4, find f(x₁ + Ax) -f(x₁) Ax = f (x₁ + Ax) -f(x₁) Ax 9 given x₁ =2 and Ax= 3. ...

A: The given function is To find:-  , given

Q: Match the functions with the graphs of their domains. | 1. f(x, y) = √√√x²y³ 2. f (x, y) = e 3x-y…

A: 1 - A2 - C3 - B4 - DExplanation:Step 1:Step 2:Step 3:Step 4:

Q: A cube with sides 7 inches long is covered with a coat of fiberglass 0.6 inch thick. Use…

A: Let the side of the cube is  inchesThe volume of the cube is

Q: a. S 1 x(M - x) -dx

A: According to the bartleby guidelines we are supposed to do the first one of multiple questions…

Q: Compute f(g(x)), where f(x) = x and g(x) = 8x - 5. d dx To compute f(g(x)), first find f'(x) and…

A: Given Formulas we use:

Q: Find dy. y=x² (13 - 1 1) 8 dy = (Simplify your answer.)

A:

Q: Use the dual method to solve: Minimize z = 8x1 + 5x2 + 12x3 subject to x1 + x₂ + x3 ≥ 37 3x1x2 + 3x3…

A:

Q: 1. Prove that for n € Z (any integer n), n²n+5 is an odd number.

A: To proveFor  (any integer n),  is an odd number.

Q: Consider the concentration, C, (in mg/liter) of a drug in the blood as a function of the amount of…

A: The required answer is given below.Explanation:

Q: Let f(x)=x² 900) = Sinces and 400)=√x evaluate the following a) Domain of gof ナ functions 6) Range…

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Q: Find a basis for the following ODE. y" - 2y" - y' + 2y = 0

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: 8a) For what value(s) of x does f(x) not have a tangent? 8b) At what value(s) of x is the function…

A:

Q: Find if the series converges or diverges.

A: Answer: the series divergesExplanation:Method 1: Method 2:  Note: there is is various way to prove…

Q: c. Car D must sweep out 27 radians to complete one full lap, and we know it sweeps out 7 radian per…

A: