Find the curvature of the curve defined by (t) = (3 cos(t), 8 sin(t)) at t = π.

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A: the answer is y2=−16(x+2)steps to solve1. draw a diagram on graph paper based on information from…

Q: Choose the integral that represents the area of the shaded region.

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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

A: given function

Q: I am needing assitance with the problem in the attached image, 3.5.

A: f′(t)=−4t−9Explanation:

Q: Problem #4: The inverse Laplace transform f(t) = £¯¹{F(s)} of the function e-³(8s-7) F(s) +16 is of…

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

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

Q: Find the equation of the tangent line at the given point on the following curve. 2xexy = ex5+ yet? ‚…

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Q: Precalculus Question (6)

A: Answer (g):  No Answer (h):  YesExplanation:Question (g):No, it is not possible for the graph of a…

Q: 1.

A: The final answer is:x=−2,y=−9,z=1Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the derivative of the function. f(x) = 2-3x-x2 x² - 4 f'(x) =

A: Consider the function

Q: f'(x)= Let f(x) (5x2-8)7 (7x²+7) 15 =

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Q: y= -3 Cos (2π - 5x ) -1 , determine : • period , amplitude, range • three maxima • four minima…

A: Please see the attached images for a full solution. Thanks.Explanation:

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: 1. Use the Limit Comparison Test to determine if diverges. Show all appropriate work. iM 8 n=1 √n n2…

A: The objective of this question is to determine whether the given series converges or diverges using…

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: Mya Nelson earned $105.25 for a 40-hour workweek. During that week, Mya also receives tips of…

A: Mya Nelson earned $ 105.25 for a 40 hour workweektips amount=$ 155.25

Q: Help please

A: ​Center-Point: (2,4)Four vertices: (−4,4),(2,−1),(2,9),(8,4)​Explanation:Step…

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: Using triple integrals, set up the iterated integral that would determine the volume of the solid…

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Q: The total cost of a new automobile, including a 8% sales tax on the price of the automobile, is…

A: The sales tax on the new automobile is approximately $1,863Explanation:Step 1: To find the amount of…

Q: 7

A: The objective of this problem is to find the volume of the solid obtained by rotating the region…

Q: Please mark the answer clearly

A: (a)24−6t(b)e2t−24(c)−s26e−4s​(d)e−9s(s−2e18​−s24​)Explanation:

Q: Given the vector (1,3); find a unit vector in the same direction as o (1,3) O о 3 10 10 6'2 10 3/10…

A: The objective of this question is to find a unit vector in the same direction as the given vector…

Q: y=f(x) y= g(x) base view cross-section - 9 and below The base of a certain solid is the area bounded…

A: The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the…

Q: (a) f(x, y) = x²- xy + y²+9x-6y+ 10 (b) f(x, y) = (x² + y) ev/2 dues and saddle points of the…

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Q: 2. Use the Direct Comparison Test to determine if 1 + sinn converges or 10" diverges. Show all…

A: The objective of this question is to determine whether the given series converges or diverges using…

Q: 2. Use the Direct Comparison Test to determine if diverges. Show all appropriate work. iM8 n=1 1 +…

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Q: Q1 C7

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Q: for y=4 root x find the differential dy when x=2 and dx=0.3

A: The objective of the question is to find the differential dy for the function y=4√x when x=2 and…

Q: 2) Evaluate the following definte integrals: a) 4√-3V

A: Since you have asked multiple questions in a single request so we will be answering only first…

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: 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: 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: Use complex numbers

A: Final answer:The expression 81a2+5b2 factors into (9a+5​bi)(9a−5​bi).Explanation:Step 1:To factor…

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = √1-x2 f(x) = 1 + DO…

A: To find the Maclaurin series for f(x)=1−x2​1​, we use the binomial series expansion. By substituting…

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: In this problem you are asked to find a function that models a real-life situation and then use the…

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Q: The diagram below shows parts of the curve of y = x² and the line y = −x + 12. Find the area of the…

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Q: A medical researcher believes that the human immune system produces antibodies to a particular…

A: The rate of antibodies production is given as Integrate N'(t) with respect to t.

Q: Solve only 2

A: The objective of the first problem is to find the solution to the given second order homogeneous…

Q: Please see atrached. Thank you, and please circle your answer.

A: The objective of this question is to find the derivative of the function x^n, where n is a constant.

Q: Find the first four terms of the Taylor series for the function 2 tan(x) about x = П 4

A:

Q: (BC Topic) (Technology Permitted) A polar curve is given by the tangent line to the curve at Select…

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Q: Consider the function f(x) = −2x³ + 3x² +8 A) Find the x-coordinates of all critical points of f.…

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Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y, x = s + 2t-u, y = stu²…

A: Given: To Find: To find

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

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

Q: Question: d/dx (x^lnx) = ? Pls help me w this ques. Use detailed steps and explaination. Thank you.…

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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: Sketch the graph of a function g with the property that g'(x) 0 for x > -3. Choose the correct…

A: The objective of the question is to identify the correct graph of a function g based on the…