Where is f(x)= x³ differentiable? (interval)

Q: Find the derivative of y with respect to the independent variable. COS y = 10 cos ( OA. -10 COS TO…

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Q: Evaluate: ffdxdydz 0 - 12/1 0 1 0/1/201 0 -1

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Q: Solve the initial value problem: dy dz 9y, y(0) = 1

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Q: Choose the normal vector of the tangent plane to the surface defined by at the point (-4, 2, e88). O…

A: Given problem:- Find the normal vector of the tangent plane to the surface defined by…

Q: Solve the initial value problem: y(x) 5x dy 6y√x² + 1 = 0, da y(0) = -5

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Q: F. (DERIVATIVES OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS) 1. Find f'(x) if f(x) = 3e². 2. Find g'(x)…

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Q: Let F(x) = = (x − 3)³ − 4 cos (x-3) Find lim F(x). x 3 + lim F(x) = x+3+ x < 3 3 ≤ x

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Q: 10 20 30 (a) Draw the tangent line at each labeled point. y 5 4 3 2 1 O y st 5 4 3 2 1 10 20 30 10…

A: Please see the below picture for detailed solution.

Q: x(t) = L−¹ x(t) = L−¹. x(t) = L−1 .2 S² + 5 (3s² +9) (7s² - 5s +6) s² (s + 2) -4s² - 4s - 4 (s +…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: b) dx c) √₁² (3x² +4x−2)dx

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Q: -(4x³y - 16)dy = (6x²y² – 10)dx. A) Show that the differential equation is exact. B) Solve the…

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Q: Which of the following are the tangent lines perpendicular to y = x, to the curve x + y² = 8? Oy=x+8…

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Q: Determine whether The given series M8 k=2 ខណៈ k=2 1 √k-1 1 √k-1 converges using the Comparison Test…

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Q: A university is trying to determine what price to charge for tickets to football games. At a price…

A: We need to find price and no. of people.

Q: 1. The two graphs below (X & Y) show two functions from our library of common functions. For each…

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Q: Integrate Ja giả Select one: OA. 2-x dz Ina-Inx+5| + C OB.Inx-lnx +51 +C OC. In x-lnx + 5+ C OD.…

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Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

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Q: Solve the initial value problem for 0 < t < and y(π/2) = 15. Put the problem in standard form. Then…

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Q: lim cot 1 -1 8418 1

A: A detailed solution is given below.

Q: Question 35 If z = x arctan 0 - 4 OFF O undefined ◄ Previous (²).find əz əx at x = 0, y = 1, z = 1.

A: To find the partial derivative of z with respect to x.

Q: rface at the given point. mal line to the surface at the given point.

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Q: 6, 8)

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Q: 6. J 4 x4-1 -dx

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Q: The function w gives a person's weight t weeks after she begins a diet. Write a sentence of…

A: Since you have posted multipart questions. As per guidelines we"ll solve only first three parts.. If…

Q: Question 38 The critical point of f (x) = (sin x) (cosa) on the interval (0, π/2) is at x = Ono…

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Q: The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and…

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Q: Sdr Select one: O A. OB. O C. O D. (2x-1)³ V + √2x−1+C 3 +√√2r-1+C +√√2r-1+C + √√√2r-1+C (2z-1)³…

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Q: if u=f(x,y), x=g(w) and y=h(w), using chain rule, what is ∂u/∂w?

A: Silution : Given that u = f(x,y)

Q: A particle is moving with acceleration a(t)=30t+8a(t)=30t+8. its position at time t=0t=0 is…

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Q: Which of the rectangles below are both left and right rectangles? 10- 8- 6- 4- 2- 0- 0 8 CD 0000 05…

A: Rectangle which is both left and right rectangle is the rectangle which touches the function from…

Q: Sketch the graph of y=x+4 and give the exact coordinates for both the x-intercept and the…

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Q: Find the area of the triangle with vertices P(1,3, —5), Q(0, 0, 0) and R(4, 5, 1). NOTE: Enter the…

A: The triangle with vertices P1,3,-5, Q0,0,0 and R4,5,1

Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations.…

A: We have to find area of given region.

Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: The given geometric sequence: 32, 38,332,.....

Q: Evaluate S ○ In O Divergent ○ In 11 O 6 In 11 6 dz 2²-25 16

A: Given problem :- ∫6∞6x2-25dx

Q: 2. Find the area of the region enclosed by the parabola y = 2 - x² and the line y = -X.

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Q: Rewrite the expression as an equivalent expression that does not contain powers of trigonometric…

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Q: Use the Comparison Test or the Limit Comparison Test to determine whether the following series…

A: We need to choose correct option.

Q: Evaluate: ffefdxdydz 0-1/1 O 01/12 O-1 S

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Q: Given that the graph of f(x) passes through the point (5,10)( and that the slope of its tangent line…

A: Given , The graph of f(x) passes through the point (5,10) and that the slope of its tangent line at…

Q: Which of the following is a valid triple integral?

A: Which of the following is valid tripple integration

Q: u⃗=5i⃗−j⃗− k; v⃗=−i⃗+5j⃗+8k.  Find the projection of u ⃗ onto v :⃗

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Q: Use a triple integral to find the volume of the solid bounded by the graphs of the following…

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Q: What is the integral of f sin² x cos²x dx? O cos(z) sin³ (2) cos(z) sin(z) + 4 4 O sin(4x)+4z 32 +C…

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Q: Two poles are connected by a wire that is also connected to the ground between the poles. The first…

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Q: Evaluate the limit: limo* [cos(3x)]= O e-3 03 e 01 ◄ Previous

A: To evaluate the limit.

Q: Write the first five terms of the geometric sequence. a 1 = 6; r = 3

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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Q: Evaluate cosh² x dx }(sinh2n +2) + 0 +x + C O2e²x +4z + C 8 O None of the choices cosh(z)sinh(2)++C

A: We can solve this as follows:

Q: if: z = cos 0+isin prove that: 1) 2+1 z+1 2)221 +1 = itan 0 z² = Z

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