Find the equation of normal to the function f(x)=x3−3x+1�(ignore the symbol, its just 1) at its local maximum point.

Q: 3 f(x) = 1½ x 4 - ³ ³ x² + 5 - 2

A: (4) Inflection point (−1,415​),(1,415​)(5) Concave up (−∞,−1)and((1,∞)(6) Concave down…

Q: Which of the following represent a polynomial? (a) ---Select--- (b) (c) (d) -Select--- ---Select---…

A:

Q: which follwoing answers is correct ? show the answer and prove it. thank you

A: The answer is ∫12​(10−ey)dy.Explanation:

Q: A graphing calculator is recommended. For a camera with a lens of fixed focal length F to focus on…

A: a-) first option is correct All parts are solved below.Give helpful rating if it is…

Q: A townhouse is 10 meters wide and 15 meters long. It has a flat roof that is 20 meters high at one…

A: We need to find volume and average height.

Q: Pri ← → LTI Launch с b Ask a Question | bartleby…

A: The objective of the question is to find the exponential equation that best fits the given data. The…

Q: 10 1.0 CA Identify the graphs A (blue), B(red) and C (green) as the graphs of a function f(x) and…

A: To identify the graphs of .

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

A: Consider the integral

Q: Write the expression as the sine, cosine, or tangent of an angle. Then find the exact value of the…

A:

Q: Use P(x) = -1x++ 4x³ to answer the questions. (a) Find the x- and y-intercepts. (If an answer does…

A: (a) The x-intercepts are:- (0, 0)- (4, 0)The y-intercept is (0, 0).(b)y→−∞ as x→+∞y→−∞ as…

Q: ax For what values of a does the does the function ye satisfy the differential equation 3y"+5y=2y?…

A: To find the values of 'a' for which the function  satisfy thefollowing differential equation.

Q: 3 In the study of a nonlinear spring with periodic forcing, the equation y" + ky + ry³ = A cos ot…

A: The objective of this question is to find the first three nonzero terms in the Taylor polynomial…

Q: Use the figure to find the exact value of the following trigonometric function. cos (2a) cos (2a)…

A:

Q: The graph of the derivative /' of a continuous function is shown. (Assume 'continues to 00.) P y -4-…

A: (a) On what interval(s) is \( f \) increasing? The function \( f \) is increasing on the intervals…

Q: Sketch the D indicated and integrate f(x, y) over D using polar coordinates. f(x, y) = 2xy, x≥0,…

A: Sketch the D indicated and integrate f(x, y) over D using polar coordinates.f(x,y)=2xy,The polar…

Q: Each of the graphs below is of a polynomial. The windows are large enough to show end behavior. (I)…

A: (a) The minimum degree of polynomials are:(I)→3(II)→4(III)→4(IV)→5(V)→5 (b) The leading coefficient…

Q: A particle moves in the xy-plane so that its velocity for time 20 is given by the parametric…

A: A particle moves in the xy-plane so that its velocity for time  ia given by the parametric equations…

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: 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: Find the vector r(t0); then sketch the graph of r(t) in2-space and draw the tangent vector r(t0).…

A: The objective of the question is to find the derivative of the vector function r(t) at a specific…

Q: ABC is a triangle with AB = 4, BC = 12, and AC 13. Find cos(A). = Note: You are being asked to find…

A: The objective of the question is to find the cosine of angle A in a triangle ABC, given the lengths…

Q: 3 3 Consider the function f(x) = 23 x7 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

A:

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A:

Q: How do I find the derivative of y

A: y'= [1/ln(ln(x)) ]* [1/ln(x) ] * [1/x]Explanation:Step 1:Step 2:NOTE-We have used chain rule of…

Q: A function f(x) is defined as: 3 f(x) = x³-2x+ x2 At x = a, where −2 < a < 2, the tangent to the…

A:

Q: Evaluate D 1022/3-6 dA where D is the region bounded by a = -23² and a = = y³.

A: To evaluate  where D is the region bounded by .Note: Since you have posted multiple questions, we…

Q: Find m and 6 such that f is differentiable everywhere. f(x) = { x² X<2 mx+b, x72

A:

Q: Evaluate the function. -18 X=1 If y = f(x), find f(1). 18 1 Y=2 -10 10

A: • f(x) = -x + 3• f(1) = 2Explanation:

Q: Evalute the following integration: (x-4)dx x²-2x-15 x+9 X+9

A:

Q: 8 k=1 tan ¹k 2 k²

A:

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: ABC is a triangle with AB = 4, BC = 12, and AC 13. Find cos(A). = Note: You are being asked to find…

A: The objective of this question is to find the cosine of angle A in a triangle ABC, given the lengths…

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

A: m=84k.(xˉ,yˉ​)=(3,2885​)Explanation:Step 1:Step 2:Step 3:

Q: Provided that f(x, y) is continuous and the region R is given by a < x <b, cyd. Select all of the…

A: Option A and B are correct.Explanation:Step 1: Given that, a continuous function f(x, y) over a…

Q: A swimming pool is circular with a 30-ft diameter. The depth is constant along east-west lines and…

A: Given:A given swimming pool is circular with a 30 ft  diameter

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

A: We have seriesFrom n=1 to inf sigma(-1)n/n

Q: Answer can’t be decimals, please don’t give the decimal answer

A: (a).            (2,65π​) (b).             (−2,6−π​)Explanation:Step 1: Step 2:Step 3: Step 4:

Q: = (1-2)x' D X where D = 2(c-yd), X = 2λ(yx + y), (1-2)=C+Y where C = 2(d- yc), Y = 2λ(x + YY), where…

A: The analysis considers two scenarios: γ^2&gt;1 and γ^2&lt;1. For each scenario, the behavior of the…

Q: xy ds, C is the right half of the circle x2 + y2; = 4 oriented counterclockwise

A: ∫Cxy4ds,C is the right half of the circle x2+y2=4 oriented…

Q: Evaluate the integrals that converge, enter 'DNC' if integral Does Not Converge.\int_(-\infty )^7…

A: The value of the integral is ∫−∞7​x2+91​dx=31​(2π​+tan−137​).Explanation:Steps and explanations are…

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

A: ∫8027​dx=8027​x+CExplanation:

Q: dy ky, dt NOTE It can be shown that y=Cet is the family of solutions to the differential equation…

A: A. y = 4e^(7t)B.it takes approximately 0.4598 units of time for y to increase to 100 and…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Thickness of paint = 0.01cmDiameter of hemispherical dome is 70 meters

Q: Show that C=-λR.

A: Detailed answer shown belowExplanation:

Q: The area enclosed inside the polar curve r² = 14cos(20) is Select one: a. 28 O b. 14 O c. 14元 O d.…

A: The correct option is b. The area is 14 unit squared.Explanation:Kindly see attached photo for your…

Q: Answer the following questions about the function whose derivative is f'(x)=3x(x-5). a. What are the…

A: a)  A . X = 0 , 5  b) A. Increasing on intervals  (−∞,0) U (5,∞) and decreasing on (0,5) c)  llocal…

Q: Determine the truth value for each simple statement. Then use these truth values to determine the…

A: The given statements are

Q: f(x)=x/x^2-4 find the increasing/decreasing intervals, identify max or min, intervals where f(x) is…

A: answers are explained below in detailExplanation:

Q: Please answer parts a and b to the following problem

A: The objective of part (a) is to identify the errors in the proposed proof that uses the direct…

Q: Given that vectors = (-3,3) and = (x, 4) are orthogonal; find the value of x. 04 0-4 O 12 0-12 02 O…

A: The objective of this question is to find the value of x given that the vectors (-3,3) and (x, 4)…