If f(x)=x³√x), then ƒ (4) (16) =

Q: Consider the given function, f(x) = -2.x² - 4x-2. (a) State whether the graph of the parabola opens…

A: Please see the below picture for detailed solution.

Q: Find the general term of the series and use the ratio test to show that the series converges. 1.22…

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Q: b. find as a function of x. dy dx 220. y= (3x-2)6 y = (3x² + 1)² 221. y=

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Q: If ds dt a. b. dr dt dr dt the surface area, S, and radius, 7, of a sphere are changing with respect…

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Q: 4) The cost function in dollars is C(x) = 10x + 540, the demand equation is p what price will…

A: This is question of calculus  here use application of differentiation  further calculation is given…

Q: Identify the location and value of any relative maxima or minima of the function. If there is more…

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Q: A curve in the zy-plane is given by parametric functions z (t) and y (t), where d=2-In (t+t+1) and 4…

A: Given velocity function

Q: The perimeter of a college athletic field is 96 meters and the length is 12 m more than the width.…

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Q: Calculate the Taylor polynomials T₂ and T3 centered at x = a for the function f(x) = 11 ln (x + 1),…

A: To calculate the Taylor polynomials T2 and T3 centered at x=a for the function  fx=11 lnx+1, a=0

Q: Consider the given function m (x) = 2(x-1)²-8. (a) Determine whether the graph of the parabola opens…

A: Since the student has posted many sub-parts of the question and has mentioned to solve  parts (d) to…

Q: Find the equation for the tangent plane to the surface z = √√y-x at the point (0,4,2). Use a…

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Q: Find the value of n so that the expression is a perfect square trinomial. Then factor the trinomial.…

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Q: Use the graph of f given below to determine the following: -4 -3 X -1 y -3- 15 0 -6- -7 -8- -9- 1 2…

A: From figure we see that the function f is increasing on (-1, infinity)

Q: Determine the global extreme values of the function f(x, y) = x³ + x²y +9y² on x, y ≥ 0, x + y ≤ 2.

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Q: Find the particular solution to the differential equation (1+x²)(1+ y²) = xyy' given the initial…

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Q: Find the derivative of the function. g(x) = (1 + 5x)5(5 + x − x²)8 g'(x) = || X

A: To find the derivative of the following function. gx=1+5x55+x-x28

Q: Let ƒ'(x) = el/a) f(x) = -3 ln(3x)

A: Given query is to find indicated derivative.

Q: In the suspension bridge above, the two large cables connected to the two towers swing down in…

A: The vertex form of the parabola  y=ax-h2+k Let the left tower be located at the origin 0, 0.…

Q: Find T, N and B for the curve r(t) = (4 cos(5t), 4 sin(5t), 2t) at the point t = 0 Give your answers…

A: To find T→, N→, and B→ for the curve r→t=4 cos5t, 4 sin5t, 2t at the point t=0.

Q: -4x f(x) = 4e¯4 ln(x).

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Q: efer to the Venn diagram to the right for events A and B in an equally likely sample space S. and…

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Q: Find the length of the curve. I r(t) = 6i + 2t²j + 5t³ k, 0≤ t ≤ 1

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Q: Identify the equation as separable, linear, exact, or having Integrating factor that is a function…

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: Assuming that there is an unlimited demand for these products and that the manufacturer wants to…

A: Given, No. of employees available for manufacturing the parts = 12 No. of employees available for…

Q: Find an equation of the tangent line to the curve at the given point. y = (1 + 5x)¹2, (0, 1)

A: To Find : Equation of tangent line to the curve y=(1+5x)12     at point (0,1)

Q: sinkx Find the constant (K) if the function f(x) = {x k² + x, x < 0 x≥0 is continues at x=0

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Q: Solve and write interval notation for the solution set. Then graph the solution set. 2x-23 -0.8 or…

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Q: Which of the following sets of vectors are linearly independent? 1.]. [ 2 2 3 2 2 -0-0 23 0 HD

A: See this solution in below.

Q: whole shipment if 1 or more in the sam The probability the shipment will be re (Simplify your…

A: Given: A shipment of 30 inexpensive digital watches, including 8 defective  To find: The probability…

Q: Differentiate f(t) = 1 + e (2t) 2

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Q: What is the equivalent radian measure for the degree measure? Select True or False for each…

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Q: Now we evaluate the numerator at these values, to check if it is also 0. At x = -1/2, the numerator…

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Q: Find the area between y = 2 sin x and y = 9 cos x over the interval [0, π]. Sketch the curves if i…

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Q: A street light is on top of a 10 foot pole. Joe, who is 6 feet tall, walks away from the pole at a…

A: we can solve the questions .

Q: Find the area of the given region. Use a graphing utility to verify your result. (Round your answer…

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Q: The terminal ray of angle B, drawn in standard position, passes through the point (-4, 3√/5). What…

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Q: Below you will find a set of exercises that include the thematic axes stated at the beginning of…

A: To find out which supplier is the most economical for each work, we need to calculate the total cost…

Q: Find the critical point(s) of the function. f(x, y) = x³y + 12x² - 8y +4 (Give your answer as a…

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Q: Find the area of a triangle PQR, where P = (-3, 5, 2), Q = (-6, 4, 1), and R = (1, 3, 4)

A: Please see the below picture for detailed solution.

Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

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Q: Find an equation of the tangent line to the graph of the given function at the specified point. x² 1…

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Q: Part 1: The derivative at a specific point Use the definition of the derviative to compute the…

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Q: Determine the derivatives, dy da dy da dy a.y=log3 (7) → : In (7³) c. y = ln (7x) → d.y = log3 (2)→…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: What is the probability that a number selected at random from the first 1,000 positive integers is…

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Q: A water balloon is thrown upward from a window that is 75 meters high with an initial velocity of 19…

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Q: If g(x) + x cos(g(x)) = x6, find g'(0). g'(0) =

A: Topic = Derivative

Q: Solve the following DE. ( Variable Separable )  x2(y+1) dx+y2(x-1)dy=0

A: Here we have to solve the differential equation.

Q: K dt ²-10t + 29

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Q: ion The population of rats, R(t), in a small town's sewage system t years after the beginning of the…

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Q: = 8 cos 7. A particle is moving along the x-axis with a velocity of v(t) x = 2 when t = 0. Find the…

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