(If an answer does not exist, enter DNE.) (2,30) 20- 20 |(2,5) (9,9)

Q: The function f(x)=1+8x+72x^-1 has one local minimum and one local maximum. This function has a…

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Q: hello can someone please help me with this calculus question, thank you!

A: The objective of this question is to determine all values of p for which the series Σ (from n=1 to…

Q: VII) Solve the rational inequality. Express your answer using interval notation. 4x 1. x²-4 I- -3 2.…

A: 1.xϵ⟨−2,0]∪⟨2,∞⟩ 2.xϵ⟨−2,3] 3.xϵ⟨2,4⟩   Explanation:

Q: 6

A: Area = 7.0759Explanation:NOTE: We will use radians in this problem. The hint mentions the two parts…

Q: Find the gradient of the tangent to S(t): = 5t +7 +2 at the point where t = −1.

A: The objective of this question is to find the gradient of the tangent to the function S(t) = 5t + 7…

Q: So D 2e/y dA where D = {(x, y)|1 ≤ y ≤ 2, y ≤ x ≤ y³} What is the value of 2e4 Oe-2e 4e Oe-4e None…

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Q: Given that y = mx - 8 is a tangent with a positive slope, to the function f(x) = x²-6x + 8, find the…

A: The objective of the question is to find the slope 'm' of the tangent line to the function f(x) =…

Q: Consider the following. f(x, y, z) = 4x (a) Express the triple integral (b) Evaluate the iterated…

A: ∫−11​∫01−x2​∫02−z​(4x)dydxdxb)value of this iterated integral is 0 Explanation:

Q: Homework

A: Volume V = 58.9049 Cubic unitsExplanation:Step 1: Step 2: Step 3:

Q: hello can someone please help me with this calculus question, thank you!

A: The objective of this question is to determine all values of p for which the series Σ (from n=1 to…

Q: A Evalute the following integration: . W (x-4)dx x²-2x-15 X+9 de (x²-1)(x²+4) A = -1 R= (=0 D=4 X+9…

A: The objective of the question is to evaluate the given integrals using the method of partial…

Q: Let g be the function given by g(x) = x²ex, where k is a constant. For what value of k does g have a…

A: A real-valued function  f(x) of one variable x has a critical point at x=a , if the function is not…

Q: Given that y = mx - 8 is a tangent with a positive slope, to the function f(x) = x²-6x + 8, find the…

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Q: A cylindral drill with radius 3 cm is used to bore a hole through the center of a sphere with radius…

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Q: Use the divergence theorem to evaluate      S F · dS,  where F(x, y, z) = z2x i +…

A: The objective of this question is to evaluate the surface integral of a vector field using the…

Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of this question is to find the cardinality of the power set of a given set A. The…

Q: Rather than the linear relationship of Eq. (1.7), you might choose to model the upward force on the…

A: The objective of the question is to derive a closed-form solution for the velocity of a parachutist…

Q: Please mark the answer clearly

A: a)  9t + sin(3t)U(t − 2π) + e8(t−4π)U(t − 4π)b) F(s) = s29​+s2+93​+s−8e−32π​Explanation:a) To…

Q: Find the series’ radius and interval of convergence

A: ​Interval of convergence =(−1,3)Radius of convergence, R=2Sum =3−x2+2x4​​Explanation:Step…

Q: 20. Given that f(0) = 12 and following graph, write the formula for a polynomial func- tion of least…

A:

Q: The circumference of a sphere was measured to be 80 cm with a possible error of 0.5 cm. Use linear…

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

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

A: The objective of this question is to find the equation of the normal line to the given function at…

Q: Consider the function f(x)=2x^2 - 4x^4 (a) Find where f is concave up and f is concave down in…

A: The given function is

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: 1. Identify each of the following functions as, Linear, Quadratic, Cubic, Power, Rational, or as a…

A: d) f(x)=x5e) f(x)= x3(x-2)(x+3)f) f(x)=x3

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 objective of this question is to find the height of the arch at a distance of 12m from the…

Q: Only do Q2

A: The solution is given by: x=2−5​−23​t,y=21​−2t​,z=t Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the gradient of the tangent to S(t):(Sorry for the break for this just need to block the stupid…

A: The objective of the question is to find the gradient of the tangent to the function S(t) at the…

Q: The cross section of a drainage is parabolic in shape. When the width of the water surface is 10…

A: The objective of the question is to find the width of the water when the maximum depth is 3 metres,…

Q: Convert the Cartesian coordinate (3,-3) to polar coordinates, 0 0

A: P=(3,−3)(x,y)=(3,−3)

Q: The second directional derivative of f(x, y) is D²Rx, y) = Du [DRX, Y)] If f(x, y) = x3+5x2y+ y³ and…

A: the second order directional derivative of f(x,y) is 27.76Explanation:Step 1: Step 2:Step 3: Step 4:

Q: A ping-pong ball is moving along a track so that its position at time t is give by the vector ,…

A: The position vector of a moving ball at time t is given bywhere, andy(t) is unknown.Both x and y are…

Q: Consider the iterated integral below. Sketch the region of integration by the limits of integration…

A: ∫02​∫05​∫04−y2​​ysin(z2)dxdzdyExplanation:

Q: 1. Verify the following trigonometric identities. (a) sin x tan x = secx- cos x sinx sinx - Cos X…

A:

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

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

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: f'(0) = Let f(x)=7e+2 + e¹.

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Q: If f(x) = 2. e*, find f'(1).

A:

Q: Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). √ √ 9 ( 1…

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Q: Calculate the double integral. 11x sin(x + y) dA, R = 8-01 ×

A: Given:To find:Evaluate the integral

Q: 3. SALES The monthly sales at an import store are currently $10,000 but are expected to be declining…

A: The monthly sales at an import store are currently $10,000 dollars but are expected to be declining…

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: HELP ASAP

A: The answer is given below.Explanation:

Q: A tank contains 200 gallons of water in which 300 grams of salt is dissolved. A brine solution…

A: The initial value problem for A(t) is .To find the amount of salt in the tank at time t by solving…

Q: I am needing assitance with the problem in the attached image, 3.3.

A: The derivative of f(x) is f′(x)=2x+1.Explanation:Steps and explanations are as follows:In case of…

Q: Let f(x, y) = 4x² + e¯y². Find critical points and classify them as local maxima, local minima,…

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Q: 3 2 e. 12 = y³ + x² •

A: Consider the function

Q: Help

A: ​y=498x2​+3​Explanation:Step 1:​x(t)=7t​ (i)y(t)=8t+3 (ii)​Step 2:​From (ii)t=8y−3​Substitute value…

Q: Precalculus Question (7)

A: The answers are as follows: 3. a. The complex conjugate of 1-2i is 1+2i. b. The complex conjugate of…

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