(a) √ √²(1 + √I) dx (c) 2²√2²-25 dz dx (d) / cos²x dz dx

Q: Compute the derivative of r(t)=⟨t,t13,t3⟩

A: Given vector function isNote:There is a type error in the given y and z component. it is given as…

Q: when comparing equations 3 and 4. how was it determined that b = 1 and c = 1?

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Q: Evaluate the integral I. I 1 = f (e¹i + 3t²j + ln (5t) k) dt i + j+ k + C

A: The given integral

Q: y = (2x+5) (x-4) y = (4x³- 5x)³ 11. y = 10. ƒ(x) = 2x-1 x+6

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Q: Problem 5. A 10 ft ladder resting against a wall begins to slip. How fast is the top of the ladder…

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Q: Please don't provide handwritten solution ...

A: P.S. Double-check the solution.  Explanation:Approach to solving the question: Use the integral…

Q: Which of the following is the domain of f(x, y) = ln(9-x² - y²)? Ox² + y² ≤9 Ox² + y² ≥9 00< x² + y²…

A: To find the domain of the following function.

Q: Consider the function f(x) defined as follows: f(x)= if x < 2 and I f(x)=2x-1 if x ≥ 2. Determine…

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Q: Evaluate the integral I. I = I = = [( (e¹i + 3t²j + ln (5t) k) dt i + j+ k + C

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Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A: given integration

Q: Find a basis for the following ODE. y" - 2y" - y' + 2y = 0

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Q: Suppose that the supply of x units of a product at price p dollars per unit is given by the…

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Q: The graphs of the function F (left, in blue) and G (right, in red) are below. Let P(x) = F(x)G(x)…

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Q: - The management has decided to hire a new marketing director. Based on the table given and the…

A: Your answer is given below as.Explanation:To determine if increasing the sales amounts in hundreds…

Q: Determine the convergence or divergence of the series.

A: Please refer the attached solutionExplanation:Solution: Please feel free to ask any clarifications…

Q: Use cylindrical shells to find the volume of the solid generated by rotating the curve y = 2 ln(x)…

A: By using the cylindrical shells, to find the volume of the solid generated by rotating the curve…

Q: 3. Recall that a rational number r € Q is a number of the form r = where a, b € Z, b + 0. Decide…

A: The objective of the question is to determine the validity of two claims about rational numbers and…

Q: Test for convergence or divergence with the Direct Comparison Test.

A: The answer is given below.Explanation:

Q: (a) Use the tabular method of integration by parts to determine [(x – 2x+1)sin xdx (b) Show that π…

A: (a)

Q: For the equation given below, evaluate y' at the point (-1,-1). 2xy-3x - 5=0. y' at (-1,-1) = Submit…

A: Given,

Q: Mr. Wutz owns a hot dog business named 'Wutz upDogs.' The daily profit function, in dollars, when x…

A: The daily profit function in dollars is given by

Q: dont use derivitives

A: The objective of this question is to find the slope of the tangent line to the curve f(x) = √x + 3…

Q: Volume = f(x) = 5.75 [5.75 f(x) dx where 0 Now integrate to find volume • 53.78 f(x) dx = 0

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Q: Sketch a graph of f.

A: graph the given function

Q: The cost C' (in dollars) of manufacturing a number of high-quality computer laser printers is C (x)…

A: The cost C (in dollars) of manufacturing x numberof high-quality computer laser printers is…

Q: For f(0): the period is For g(0): the period is For h(0): the period is radians and the amplitude…

A:

Q: 9. Given the following graph, find the following. -3-2-1 3 2+ 3 a) Evaluate f(-1). b) Solve for f(x)…

A: Note As per guidelines we support only three sub parts of question. Kindly repost the next question…

Q: 14. Determine the equation of the tangent to y = x (x+3)² at x = -2

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Q: Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph…

A: By using cylindrical shells to find the volume of the solid formed by rotating the area between the…

Q: The arc of y = ln x from x = 1 to x = e is revolved about the y-axis to generate a surface.  Find…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: find the x-values (if any) at which I is continuous. which of the discontinuities are removable?…

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Q: Solve the given initial value problem. y'' + 2y' = 0; y(0)= -1, y'(0) = -10 The solution is y(t)=₁

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Q: Solve the following initial value problem for y as a function of x. 3x(dy/dx) = sqrt(x^2 - 4) , x >=…

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Q: The equation Q = 12e-0.055t gives the mass Q in grams of radioactive potassium-42 that will remain…

A: The objective of the question is to find the initial quantity of radioactive potassium-42. The…

Q: With U.S. Department of Health and Human Services data from 2002 and projected to 2024, the total…

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Q: Explain why f(x) is the inverse of g(x)

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Consider the following equations. y = -x² + 2x + 2 y = -x + 2 Sketch the region bounded by the…

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Q: In this problem, p is the price per unit in dollars and q is the number of units. If the weekly…

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Q: Use the limit definition to compute the derivatives at the given value of a: 1) f(x)= sqrt(3x-4) for…

A: The objective of the question is to compute the derivatives of the given functions at a specific…

Q: ind the derivative, r'(t), of the vector function. 8 r(t) = ( √t-7, 9, -3)

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Q: The following limit represents the derivative of some function f at some number a. 10 (1 + h) ¹⁰ - 1…

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Q: c. Let h(x) = 0.75 sin(0.9x). i. What is the period of h? ii. What is the amplitude of h? Preview

A: h(x)=0.75 sin (0.9x)

Q: Q/ Find the Integral of the following: 1- fx sin x dx 2- ((1+tan²x) dx 3- [cos 2x dx

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Q: Verify that y= sin 2t+4cos 2t is a solution to the initial value problem 4y" + 16y=0; y(0) = 4,…

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Q: Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by Y…

A: The volume is 5162​π≈101.7876.Explanation:Step 1:Step 2:Step 3:Therefore, the volume is…

Q: The graph of a periodic function f is shown below. 4 √3 2 1 -1 f(0) 1.57 3.14 4.71 6.28

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Q: Determine the convergence or divergence of the series.

A: The given series is convergent.Explanation:For any query at any step please ask.

Q: 2. (a) (b) Consider f(x) = 10 (x − 1)(x² + 9) Decompose f(x) = = dx. 10 (x − 1)(x² +9) more space,…

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