Determine the slope of the tangent line, then find the equation of the tangent line at t = 16. x = √t, y=4t Slope: Equation (slope-intercept):

Q: QUESTION 3 Let a = 0 and a = 2+a for n=0, 1, 2, 3, ... 0 n+1 n ,a i. List out the first 7 terms aa6…

A: Step 1:i).To find the first few terms of  the sequence…

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Q: 56- find the intersection area between the cardioid r = 1 - sine and the cardioid r=1+sinA

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A: Certainly, let's delve into each part with more detail:a) Showing x = 0  is an irregular singular…

Q: 84. If g is a twice-differentiable function, where g(1) = 0.5 and lim g(x) = 4, then g'(x) dx is 818…

A: Step 1: Given that the function g is twice differentiable and g(1)=0.5 and limx→∞​g(x)=4 To solve…

Q: Given log A=3.227 and log,B=0.201, evaluate log AB. A. 3.026 OB. 16.055 O C. 0.649 OD. 3.428

A: The objective of this question is to find the value of log AB given the values of log A and log B.

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A: a.)PART 1To get the area for R3, we are tasked to divide the curve into 3 rectangles, therefore, we…

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A: Step 1: Step 2:

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A: The objective of this question is to find the component form of the vector PQ+4RS. This involves…

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Q: Evaluate (x-5y+z)ds, where S - Sz 10 x, 0 ≤x≤ 10, 0y ≤ 10.

A: Step 1: Step 2:

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A: The first step is to sketch the region enclosed by the given curves y = 3x and y = 6x^2. The curve y…

Q: Use Stokes' Theorem to evaluate b F(x, y, z) = xyi + 3zj + 6yk, F. dr where C is oriented…

A: Thank you

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A: Step 1: Given                       The parametric equations of the line are:…

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A: Step 1: Let g(x) be equal to the transformed expression −21​(x−2)5+16. The transformed function is…

Q: (c) Find the exact volume of the solid that lies under the surface z = 8-2-y² and over the unit disk…

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Q: 3. Suppose a≥ 0. Compute the Laplace transform of the function t/a, ifta; ga(t) = = 1, if ta [Hint:…

A: Step 1: Step 2: Step 3: Step 4:

Q: Use geometry (not Riemann sums) to evaluate the following definite integral. Sketch a graph of the…

A: Given that ∫06​f(x) dx  where f(x)={53x−1​ if x≤2 if x>2​ The graph of f(x) is B For 0≤x≤2 f(x)=5…

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Q: Test the series for convergence or divergence using the Alternating Series Test. 1 In(5) In(7) In(8)…

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Q: Determine whether the series converges, and if so find its sum. 1 = DNE =1 (k + 4) (k + 5) (Enter…

A: For any query with the solution please ask in the comment box.

Q: do correctly , see pic for prob

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Q: dy . Use Logarithmic Differentiation to find for the function given below and simplify. dx y =…

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Q: Use Stokes' Theorem to evaluate JC F(x, y, z) = xyi + 3zj + 6yk, × F. dr where C is oriented…

A: Step 1:Step 2:Step 3: Step 4:

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A: The given integral is:∫02π​​2cos4x dx The number of sub-intervals is n = 4. Recall the Midpoint…

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Q: Write in logarithmic form. 5² = 25 OA. log 52=25 OB. log 255=2 OC. log 225=5 OD. log 525=2

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Q: 27

A: We are given the integral ∫2x3(x4+1)dx Part A.Rewrite the integral by multiply out the integrand…

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