#2.) S sec secx tanx sinx (secx) dx

Q: If n is a prime number greater than 3, what is the remainder when n² is divided by 12?

A: The objective of this question is to find the remainder when the square of a prime number greater…

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Q: Multiply both sides by (x² + 1)² and combine like terms. x² + 6x + 1 = (Ax + B)(x² + 1) + Cx + D =…

A: The given equation

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A: given the area of the region. We need to find the given integration value.

Q: Use symmetry to evaluate the following 12. 1200 2x³ 2x5 dx

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Q: 1. Evaluate each of the following derivatives. You need not simplify your answer. (a) √t (2-1)³ dt d…

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Q: a = (-5,3,7); <6,-8, 27

A: The given vectors are

Q: 1 Consider the functions f(x) = 7x + 1 and g(x)= 7(x-1). (a) Find f(g(x)). (b) Find g(f(x)). (c)…

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Q: If f(x) = f t¹ d t then Use '^' to enter exponent for example, x^2 for X -x² Enter an integer or a…

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Q: Trust Fund A deposit of $20,000 is made in a trust fund that pays 5% interest, compounded…

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Q: Find the general anti derivative of the function f(x)=8x^9-3x^6+12x^3

A: Given,.

Q: If c is a positive constant, find the area of the region enclosed by the parabolas:  y=x^2-c^2…

A: If c is a positive constant, then to find the area of the region enclosed by the parabolas:in terms…

Q: needed, enter the values as a simplified fraction. (Examples: 1/2, -14/3) any operation is undefined…

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Q: Current Attempt in Progress Find the total area between y = 9 - x² and the x-axis for 0 ≤ x ≤ 4.…

A: This is question of application of integrationHere is function is given We have to find area between…

Q: What is the unit sphere's equation in spherical coordinates? p=1 2 p² + 0² +6² = 1 p=2 cos p p = 2…

A: The objective of the question is to identify the correct equation for a unit sphere in spherical…

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 4! 1-3-5-1-3-5-7…

A: The ratio test states that

Q: 20. Use the graph of y² = 9x + 9 to determine what type of symmetry the graph displays. 3r

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A: The given function is.The aim si to verify the Rolle's theorem on the given interval.Rolle's…

Q: A particle moves with acceleration function a(t) = 5 + 4t − 2t2. Its initial velocity is v(0) = 3…

A: A particle movoes with acceleration function  Its initial velocity is  and initial displacement is…

Q: Provide an appropriate response. Divide the interval [0, 8] into four equal subintervals and draw in…

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Q: Z 0.68 (0). -0.68 -19.00.00 Drag the surface to rotate 0.68 Drag the surface to rotate t 0.00 .68…

A: From this picture, we can easily get the required traces

Q: Use Newtons Method to find the third approximation -x3, for the root of f(x)= x^3-x^2-1=0 Hint is…

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Q: Evaluate the integral: /9 - x² = dx (A) Which trig substitution is correct for this integral? 0x = 9…

A: Given indefinite integral is

Q: Use the limit definition to find the slope of the tangent line to the graph off at the given point.…

A: By using the limit definition to find the slope of the tangent line to the graph of  at the given…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Find the exact area, in fractional form, under the curve y = 4x³ over the interval [0, 5].

A: we have given function

Q: c) y" +10y' + 25y = 0

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: (b) Find the total area between the graph and the x-axis between x = -4 and x = 2. Round your answer…

A: The graph of  for  is given below.(b) To find the area between the graph and the x-axis between .(c)…

Q: Find the present value of a continuous income stream F(t) = 30 + 6t, where t is in years and F is in…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Evaluate the Iterated integral I SS (3y² + 4x) dady

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Q: F(x, y, z) = (2xz + y²) i + 2xy j + (x² + 6z²) k C: x = t²2, y = t + 2, z = 2t - 1, 0≤t≤1 (a) Find a…

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Q: 10. f(x) = e² 12. h(m): 2 化 Vm

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Q: 1. y'(t) − y(t) = 1, Ans. y(t) = e' - 1 y(0) = 0

A: given IVP

Q: #1.) cotxdx √9-in sinx ત્ર

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Q: II. Differentials Recall, the DERIVATIVE values represent SLOPE values on a given function. Slope =…

A: A derivative of a function is a representation of the rate of change of one variable in relation to…

Q: Apply the trigonometric substitution x = √3 sec(0). When determining the lower limit, you will have…

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Q: Verify Green's Theorem by evaluating both integrals an √ 7² dx + x² dy = √ √ √ (²x- ax for the given…

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Q: Question A particle moves along a line with a velocity v(t) −3t² + 3t +4, measured in meters per…

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Q: -example 3- Use an appropriate linear approximation to approximate the value of √26.2. Draw a…

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Q: Use Newton's method to estimate the two zeros of the function f(x)=x*-x-17. Start with xo = -1 for…

A: Newton-Raphson method:-

Q: 1. The value of a parcel of land bought for speculation is increasing according to the formula t1/4…

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Q: Which of the functions below are one-to-one? Assume that you are considering the domain of each…

A: Find the one-to-one function and domain of the given functions

Q: Given: (x is number of items) Demand function: d(x) = 532.4 -0.6x² Supply function: s(x) = 0.5x²…

A: we need to find equilibrium quantity between the two given equations

Q: Your velocity is v(t) = ln(t² + 1) ft/sec for t in seconds, 0 ≤ t ≤ 2. Find the distance traveled…

A: Velocity is v(t)=ln⁡(t2+1)ft/sec for t in seconds, 0≤t≤2.

Q: Use upper and lower sums to approximate the area of the region using the given number of subinterval…

A: finding the area using upper sum and lower sum.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Given that the region bounded by the curves

Q: A particle is moving in straight line and the velocity at time t is given below: v(t) = 2-2t. Find…

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Q: Write a function f(x) that has the given characteristics. f(-6) = f(8) = 0; f'(1) = 0; f'(x) 0 for…

A: The given conditions are .The aim is to find the equation of the function .

Q: Graph the function y=-2x³. +6x² +2 by identifying the domain and any symmetries, finding the…

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