b. f(x) = (x³ + 2x² + 4) (x 4 − 3) c. f(x) = = 3x²-6x+7 4x-1 d. f(x) = (4x³- 7x)7 -

Q: QUESTION 10 Suppose that the following function approximates the weight W (in lbs) of a particular…

A: weight w(x)=3x2, put x=3The weight w(x)=27 lbsExplanation:Step 1:The weight w(x)=3x2 represents a…

Q: Let u= (6,8). Find a unit vector that has the same direction as u A. (1,0) B. 11 11 u|1|1 = √(6² +…

A:

Q: A calculator may be used on the following questions. A particle moves in the xy-plane so that its…

A: Given that the acceleration vector for  time  is  and velocity vector at is .

Q: The circumference of a sphere was measured to be 89 cm with a possible error of 0.5 cm.   Estimate…

A: The objective of this question is to estimate the relative error in the calculated surface area of a…

Q: Find the series’ radius and interval of convergence

A: The answer is given below.Explanation:

Q: 1. Find the solution to y"-6y'+9y=0, y(1)=1, y'(1)=-2.

A: N.B:: According to our guidelines I have answered the first question. Kindly repost the second…

Q: Let f(x)=xe and f(")(x) be the nth derivative off with respect to x. If (10) (x)=(x+n) e*, what is…

A:

Q: Problem 3. In this problem, we will determine a closed formula for the the n-th partial sum of a…

A: Please refer below pages.If you have any doubts please feel free to ask.Explanation:Step 1:…

Q: Explain how to solve this question in steps.

A: False Explanation:We know thatA function f(x) is decreasing if derivative of f(x) < 0  i.e. f'(x)…

Q: Find the critical points for the function f(x, y) = 5x² – 10xy + 6y² – 6y - and classify each as a…

A:

Q: Use complex numbers

A: 81a4−64b4=(3a+22​bi)(3a−22​bi)(3a+22​b)(3a−22​b)​Explanation:Step 1:​ Let A=81a4−64b4​Step…

Q: Find the surface area of the cone frustum generated by revolving the line segment y = Frustum…

A: given line segment

Q: Please explain all your steps in detail for more understanding. Thanks

A: The objective of this question is to find the derivative of the function f(x) = 2e^(2x) at the point…

Q: Given vector = 57 +107; which of the following is a vector that is orthogonal to ? 0-10-57 O 201 +57…

A: The correct answer is:−20i+10j​Explanation:We determine which vector is orthogonal tov=5i+10j​by…

Q: format. D is the region between the circles of radius 4 and radius 5 centered at the origin. That…

A:

Q: Sketch the region of integration determined by the limits of integration and then switch the order…

A: InitiallyLimits areX=y/2 to X=√yAfter changing the limits of integration New limits areY=x^2  to  y=…

Q: At what points does the normal line through the point (1, 2, 1) on the ellipsoid 4x² + y²+42² = 12…

A: smaller x-value: (−15,−6,−15)larger x-value: (343​,326​,343​)Explanation:Given the equation of…

Q: Find the average rate of change for the function over the given interval. y=x3 + x2-8x-7 between x =…

A: given function

Q: f(x) = 1½ x² - ²x² + 3 +5

A: (1) critical points= (0,5),(3​,411​),(−3​,411​)(2) Increasing on (−3​,0),(3​,∞)(3) Decreasing on…

Q: Given that vectors = (3,5) and = (x, 1) are orthogonal; find the value of x. 05 56 53 O O

A:

Q: Let y=5x^2Find the change in y, Δy when x=1 and Δx=0.2   Find the differential dy when x=1 and…

A: The objective of the question is to find the change in y (Δy) and the differential dy for the…

Q: 1. Recall that all vectors have magnitude (length) and direction. Magnitude is a scalar, or a number…

A: The given vectors are

Q: Find the critical numbers of the function f(x)=-12x^5+15x^4+80x^3-3 and classify them. Round your…

A: The critical numbers of the function are,x=2.562,−1.562,0,0Hence x=0 is the point of inflection; it…

Q: Find the equation of normal to the function f(x)=x3−3x+1 at its local maximum point. I want a HUMAn…

A: The objective of this question is to find the equation of the normal line to the function f(x) = x^3…

Q: Calculate the integral, assuming that fo' f(x) dx = −2, f₁² f(x) dx = 6, f† f(x) dx = 9. (Use…

A: ∫12​f(x)dx=8Explanation:

Q: The arch of a bridge over a river has the shape of a parabola. The base is 40m wide and the maximum…

A: The arch of a bridge over a river has the shape of a parabola. The base is 40m wide and the maximum…

Q: Calculate the integral, assuming that ſ³ f(x) dx = 14 and √5 g(x) dx = 12. (Give your answer as a…

A: ∫05f(x) dx= 14 ∫05g(x) dx  = 12

Q: Help with cal question

A: The center of circle is (-4.5,0.5) The radius of circle is 4.8477Explanation:

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A: Consider the integral

Q: Given vectors = (5,-3) and = (-3, -6); find 4u - 4v. 0 = (8,36) O v = (32, 12) O=(-12,-32)…

A: The objective of this question is to find the result of the operation 4u - 4v, where u and v are…

Q: Question: Find the equation of the tangent to y= xsin2x at the point (π/4 , π/4). Thks! Please…

A:

Q: What is the equation of the tangent to the curve of the function: f(x) = 6x³ + 4x² +3x+2 when x = 1?

A: The given function is: f(x)= 6x3+4x2+3x+2At x=1, y=f(1)= 6+4+3+2= 15

Q: Find the interval of convergence of the power series. is a finite set of values, enter your answers…

A: The interval of convergence for the given series is (7,9].Explanation:

Q: n (α) Σ λε

A:

Q: I am needing assitance with the problem in the attached image, 3.2.

A: DNE ( does not exist)Explanation:Step 1:To find the one-sided limit as x approaches 2π​+ from the…

Q: 2

A: The maximum revenue that the business can earn is $2500 per month at a selling price of $25 per wind…

Q: What is the angle between the given vector and the positive direction of the x-axis? (Round your…

A:

Q: x+1, x0 Can also be displayed as: ) = [ x+1 when x 0]

A: find the continuity of the function

Q: Find the indicated partial derivative. R(s, t) = test; R(0, 4) R₁₂(0, 4) =

A: Final answer: Hence we getRt​(0,4)=1 The partial derivative Rt​(0,4) of R(s,t) with respect to t at…

Q: 2. Find absolute extrema of the function f(x,y) =x³-3xy +y³ on the region bounded by the following…

A: (a) (Note: All answers are listed below the explanation.)(b) The minimum value is -1, and the…

Q: Homework

A: ∫∫D​f(x,y)dxdy=−0.6363Explanation:Step…

Q: Explain how to solve this question in steps.

A: Option A is correct.  8Explanation:

Q: Find the extreme values of f on the region described by the inequality. (If an answer does not…

A: Maximum= 9(9+82​) Minimum= −32Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Given vector v = 2 + 87; which of the following is a vector that is orthogonal to ? 0-16+47 0-81-27…

A: The objective of this question is to find a vector that is orthogonal to the given vector v = 2i +…

Q: Question 15 4b. Find f" (3) if f(x) = -5x³- 4x² - 3 00 O-159 0-98 0-30x-8

A:

Q: help solve please

A: The objective of this problem is to find the rate at which the height of the water is increasing…

Q: For this series, decide whether it converges absolutely, converges conditionally or diverge. Justify…

A: By the Alternating Series Test, the series converges.Explanation:

Q: Biologists stocked a lake with 800 fish and estimated the carrying capacity (the maximal population…

A: Initial populaiton, P(0)=800.Carrying capacity, C=9600.Change in one year, P(1)-P(0)=1020.Now,The…

Q: Write an equivalent series with the index of summation beginning at n = 1. Σ Ο M n = 1 0 W n = 2…

A: To write an equivalent series with the index of summation beginning at .

Q: Homework

A: written solution provided.Explanation:Step 1: Step 2: Step 3: Step 4: