Consider the following curve. 1 + x 4 + ex Find y'(x). y'(x) = y = 1 Find an equation of the tangent line to the given curve at the point ( 0, :(0, -½-). y =

Q: dx + 7) Evaluate Sexy² vertices (0, 0), (2, 2) and (2,0) 2x²ydy where C is the triangle with

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Q: 11) If the Taylor series of a function has the general expression xn f(x) = En=on! The corresponding…

A: To solve the following problem

Q: What type of roots does 3x² - Imaginary Real, Rational, and Unequal Real, Rational, and Equal Real,…

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Q: 40. Solve forx: -3+ tan² x=0

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Q: Determine the general solution of the non-homogeneous differential equation y + y = sinx.

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Q: Write Sk 1.13+2 14+3•15+...+ Write SK+1- (Type your answer in factored form.) 1.13+2+14+3•15++=…

A: To evaluate:  ------------------------------------------------------------------------------- Basic…

Q: X 16. Determine the equation of the tangent to the curve y=30* at the point with x-coordinate.

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Q: If f(x)= f'(x) = = tan z sec x -4

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Q: Find the equation of the line through the point (-5, 4) and perpendicular to the line y = 2-5.…

A: In this question, we want to find a equation of the line perpendicular to the given line passing…

Q: (c) sin 13л 15 COS Зл 15 COS 13п 15 sin 3п 15 Answer: sin 10п 15 = sin (2) 3 2п √√3 =

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Q: 11 . (870), they y equals; c) 3 mx 7) + y = x² lux, (X>0), they q) 3+hX D) 3+3nX B) 3+2nX E) 2+X+X

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Q: dy y=-3 tan(-x-4) 17.Determine the derivative dx for

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Q: Find the exact value of cos( O 1 V2 O √3 2 0 -13 O 12 2 큼 -9 4

A: We can find the exact value in the below steps.

Q: Write Sk k: 4+8+12+...+ -0-0 Do not simplify.) Write SK+1. k+1:4+8+12+...+4(k+ 1) = Simplify your…

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Q: 09. C-1 28-1 $²-8-6 (e³ (t-1) + e-2(t-1)) u₁ (t) C. (e-3(t-1) + e²(t-1)) u, (t) <-8 e 0} (1) A. (t)…

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Q: lifted to the top of a 25 meter tall building by a rope with density 0.1 kg/m. However, the bucket…

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Q: What is the exact value of the definite integral?

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: 5) Find the divergence of (√x² + + z ²) kî + yî + zk)

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Q: Differentiate the function. f'(x) = f(x) = x7³ − x + 8

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Q: your answer State the leading term of x4 + 3x6 - 7x⁹ - 10. The leading term is -7 × Edit

A: To find leading term

Q: Use integration by substitution to solve the integral below. Use Cfor the constant of integration.…

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Q: 7. Which of the following is the Laplace transform of S In (²-¹) A. E. 1 s(s+1) B. In None of the…

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Q: Consider the following function: Step 4 of 4: Enter the x-values of any local minima, maxima, and…

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Q: Find the indicated sum. 4 Σi(i+5) i=1 4 Σ i(i+5)= (Simplify your answer.) i=1

A: S=∑i(i+5)i=14

Q: Question 4 moriro 4. Simplify the following. Show all details and leave your answer with only one…

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Q: 16) Sinx-cosy-2=0; dy = ? A) -cot X c) CosX siny B) -cot y d) -cscy cos X E) 2-COS X siny

A: given 16) sinx - cosy - 2 = 0

Q: for v= -1/2 cos (2x) where is -1/2 coming from? In the final answer, where does 1/4 come from?

A: Solution ⇒    Given function  ∫udv=∫x×sin⁡(2x)    here  u=xanddv=sin⁡(2x)…

Q: 11- Iraqi's population grows at an annual rate of 3%. The population in 2022 is 40 M. What is the…

A: Given query is to find the population in 2030.

Q: Use Stokes' Theorem to find the circulation of F = 4y? +7zj + 7xk around the boundary of the surface…

A: According to question,Given vector,F→ = 4yi→ + 7zj→ + 7xk→z = 64-x2 + y2for z≥0.

Q: Suppose c is inversely proportional to the square of d. If c = 8 when d = 2, find the constant of…

A: Function

Q: Convert from radians to degrees: 5n - b. 18 10

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The cost function for a particular product is given by Cx) - 0.0001x³ +0.018x² +26.7x + 190 dollars,…

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Q: Use Right-endpoint Rule with n = 5 to approximate ²x x√x+2dx to 4 decimal places.

A: INTRODUCTION:  The height of the approximating rectangle is calculated using the right endpoint of a…

Q: For the function f(x) = 2x³-18x²+4: (a) Find the critical numbers of f(if any); (b) Find the open…

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Q: Consider the function f(x, t) = x³e-, where c is a constant. Find the indicated partial derivatives,…

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Q: Find the area of the following region. The region inside the inner loop of the limaçon r=5+10 cos 0…

A: Please see the below picture for detailed solution.

Q: Sketch the graph of the following function and determine whether the function has any absolute…

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Q: Find the general solution to the system of ODE's x'= Ax, where -4-3 -1 - A =

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Q: Find two points where the curve x² + 2xy + y² = 53 crosses the x-axis. The tangents to the curve at…

A: We need to determine slope.

Q: Let (u, v) be the inner product on R² generated by A = 1=[ A and let u = (3,-4), v = (-4,5). Find…

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Q: 36. Evaluate cos 20, given cos 4 sin == 0 5 = 3/5 ar

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 4 Suppose that f(x, y) = 2x² + 2y¹ − 1xy Then the minimum is

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Q: Use trigonometric substitution to evaluate the integral (a) arcsin(r)+C 9x 9 - x² √9-x² (b) 9x + C…

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Q: Find the area between the graph of y = 5 - 5x^(2/3) and x-axis and −1≤ x ≤ 8 using properties of…

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Q: Find the area of the region bounded by the graphs of the algebraic functions. f(x)=x² +34x+289 g(x)…

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Q: Find the length of the loop of the given curve. x = 6t - 2t³, y = 6t²

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

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Q: Differentiate. y' = у 4x 3 - tan(x)

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Q: 4. Trace the curve: y² = x²−4x−12 x²-2x-3

A: for x intercept put y=0for y intercept put x=0y2=x2-4x-12x2-2x-3

Q: 12) y = 2-X; dy 3x+1 A) -7 (3x+1) dy = ? ² B) 6X-5 (3XH) 2 c) (3x+1) D) = ¹ 3+2X

A: NOTE: Refresh your page if you can't see any equations. . take derivagive