What are the characteristics of the graph of the tangent function?

Q: True/False Indicate whether the statement is true or false. 9. A normal vector to a line is parallel…

A: We have to state whether the given statements are true or false: Statements are as follows: 9. A…

Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a…

A: To find maxima/minima of the function: f(x,y)=x2+2y2-3xy with constraint g(x,y)=x+y-24=0

Q: alculate D(f ◦ g) for the fun

A: answer is in next step

Q: Using Sandwich Theorem 3n2 + 1 an = (-1)" n³ – 4 converges to 0 O converges to -1 O none of them O…

A: We have to find the limit by using sandwich theorem,…

Q: Evaluate the limit. 12 lim х — 5 - x-5 x2 + 2x – 35 Give your answer in exact form. If the limit…

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Q: Set up the definite integral required to find the area of the region between the graph of y = – 23x…

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Q: The current population of a certain bacteria is 5410 organisms. It is believed that bacteria's…

A: Given, Initial population (P)=5410 , Rate of multiples (R)=3 , Triplet in 9 minutes. Therefore n=9…

Q: A torus is formed by revolving the region bounded by the circle x? + y? = 49 about the line x = 8…

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Q: _ア-1 x² - 1' y(2) = 2 dx

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Q: 1 Find the length of the arc of y= from x = 1 to x = 3. 2x

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Q: Evaluate the iterated integral. 1 z y SS§ 9ze=v² dr dy dz

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Q: Let f(x) = 10x + ax² + e2×. Compute f()(x). %3D (Use symbolic notation and fractions where needed.)…

A: We need to find the 7th order derivative of the function f(x) given by

Q: Use the arc length formula to find the length of the curve y = 3x - 5, -2 SxS 3. Check your answer…

A: This question is related to Functions and curves, we will solve it using given information.

Q: If f(x) t*dt then 0. f'(x) ||

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Q: Find the directional derivative of f at P in the direction of a. f (x, y) = 17 tan Р(-18, 18); а %3D…

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Q: Question * Using the Nth term test for divergence 1 2n + 14 n=1 diverges since lim is equal to 1.…

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Q: uni vectors that stâtêd coi satisly th st cônditi NOTE: Enter the exact answers in terms of i,j and…

A: Given: u=-2i+7j

Q: - x)dx 1 X 2 х +x+1

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Q: Prove 2^1/n infinity n=1 is convergent

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Q: Find the linear approximation at x = 0 to each of f(x) (x + 1)?, g(x) = 1+ sin(2x) and h(x)= e2*.…

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Q: Use a double integral to find the volume of the indicated solid. 9. z = 9-2 y 2. y=2 4 X=4

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Q: Use the derivative of the function shown below to determine the open intervals in which the function…

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Q: Find the linear approximation at x = 0 to each of f(x) = (x + 1)², g(x) =1+ sin(2x) and h(x) = e2*.…

A: To find the linear approximation at x=0 to the given functions using the formula:…

Q: Use Green Theorem to Evaluate |y x²dx – x²dy where C is left half of x² + y² = 25

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Q: 3X C-6X)

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Q: Current Attempt in Progress Express the iterated integral as an equivalent integr with the order of…

A: we have to change the order of integration.

Q: 12. Find an equation for the tangent plane to the surface given by 2xy = 2z2 - ryz at the point…

A: Use tangent plane formula

Q: 3x 4x e, y = e", and Sketch the region enclosed by y = x = 1. Find the area of the region.

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. da dz dy = y -54 J-36 %3D

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Q: Let y = (2x + 2 sin(x))“. Find f(x) and g(x) so that y = f(g(x)) and compute the derivative using…

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Q: Evaluate the definite integral. 124 i + ej+t k dt (e" - 1) i - (e - 1) j + k o e-11-(-1)j +K i - (e…

A: see below the answer and calculation

Q: The graph of a function y f(z) is shown. C. At which point IS the following true (Only type the…

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Q: d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating d dt dt the product directly…

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Q: Question Help: DVideo

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Q: Find the area of the region enclosed by the rose r = 18 cos 30. NOTE: Enter the exact answer. A = T

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Q: for the following differential equation (assume zero initial conditions), write the state variables…

A: Solution: Given

Q: 3. If f and are continuous functions with f(3) 4 and lim 2f(x)-9(r)3D5, what is g(3)?

A: To evaluate the value of the function

Q: Consider the curve (y2 = 9 +x) that defines y as an implicit function of x. If P (xo, yo) is the…

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: 7x and y = 5x². Sketch the region enclosed by y Decide whether to integrate with respect to x or y.…

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Q: Evaluate (2x - y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 3

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Q: Find the area of the region inside the circle r = 12sinθ and outside the cardioid r = 4 + 4 sinθ.

A: Area

Q: The shaded region between the graphs of 2x2 + 20 and y = 3x – 15 is displayed - - below in orange.…

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Q: Find T(t) and N(t) at the given point. r(t) = 3 cos(t)i + 3 sin(t)j + tk; t= 2

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Q: Find the volume of the solid that results when the shaded region is 3 revolved about the indicated…

A: The region is bounded by y=3x2 and y=3x3 from x=0 to x=1 revolved about x-axis.

Q: Solve the differential equation. du 6 + tª dt ut? + u^p?

A: The given problem is solved below in detail.

Q: If f is differentiable at a number, x, then f is continuous at x.

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Q: 3 The series E converges if n=2 (n+ 1)P (n – 1)ª (a) p+q1 (c) p+q=1 (a) p+q=2 (e) -1<p+q<1

A: Solve the following

Q: Let f(x) = 10x6 + xx² + e2x. Compute f()(x). (Use symbolic notation and fractions where needed.)…

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Q: P(x) Let P(x) and Q (x) be polynomials with the degree of Q (x) greater than the degree of P(x) and…

A: Here we have given that P(x) &amp; Q (x) be polynomial such that degree of Q(x) is greater than P(x)…