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Q: The 3rd term of an arithmetic series is 34 and the 17th term is -8. Find the sum of the first 20…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: A pilot is flying over the ocean. He determines that the angles of depression to two ships are 54°…

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Q: 3. Find the equation of the tangent plane and the equations of the normal line to the surface z = In…

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Q: Find the vector component of v = (4, - 1, 7) alongb = (2, 4, -4) and the vector component of v…

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Q: sify whether f(x) is continuous or discontinuous at the point/s. If disco x – 2 x <-1 f(x) = { x² +…

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Q: HOMEWORK 2 The 3rd term of an arithmetic series is 34 and the 17th term is –8. Find the sum of the…

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Q: t. 0.5 -5 -3 -2 f -0.3 -1 -1.5 -2 Find the following limits, if they exist. 5. lim f(x) 6. lim f(x)…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: co sh?Ł

A: As we know,    cosht = exp(t)+exp(-t)2                  and               Laplace transform of ept =…

Q: Find the amount of an annuity with income function c(t), interest rate r, and term T. (Round your…

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Q: xel+x/2 dx V

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Q: 2. What is the extraneous root of 2 log3(x + 4) - log3(-x) = 2?

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Q: A car rental agency rents 210 cars per day at a rate of ​$40 per day. For each ​$1 increase in​…

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Q: Y=x(root2-x) Can someone explain why the domain is x=

A: The domain of the function is set of all possible input values for which function is defined.

Q: Determine the value of a, given that the line ax+y+1 = 0 is tangent to the graph of y= ax-6x+1 at x…

A: Given  y=ax2-6x+1find derivativey'=ddx(ax2-6x+1)y'=2ax-6+0y'=2ax-6at x = 1y'=2a(1)-6y'=2a-6

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

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Q: Find an equation of the plane through (4, 5, 7) that is - 2 = 5t, y +3 = 10t, z = -5t. perpendicular…

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Q: Determine whether the series is convergent, absolutely convergent, conditionally convergent, or…

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Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

A: Given problem:- Use a double integral in polar coordinates to find the volume V of the solid bounded…

Q: Convert the point with polar coordinates (4, to Cartesian coordinates. Enter exact values. The point…

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Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

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Q: a, = V 2n + 6" %3D lim an %3D

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Q: 2) Find the parametric and symmetric equations for the line through (1, –1, 1) and parallel to the…

A: Solved below

Q: Preview Activity 1.3.1. Suppose that f is the function given by the graph below and that a and a + h…

A: Use slope formula for finding the value .

Q: Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and…

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Q: 4. Solve the initial value problem 8+ 3y = sine 0 > 0, y(n) = -5. %3! de

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Q: A clothing company determines that its marginal cost, in dollars per dress, is given by the function…

A: Here we will find the cost of producing 201st through 260th dress,

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: 2) Verify that the function f(r) = In r satisfies the hypotheses of the Mean Value Theorem on the…

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Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

A: We have to find the total cost.

Q: iv)Find the acceleration after 1s? After 3s? v) Find the total distance travelled during the first…

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Q: Find the surface area formed when the curve f(x)=x^3 between x=1 & x=3 is rotated around the x-axis

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Q: Given the function,y a +3x which of the choices is the correct second step based on the four-step…

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Q: Find a formula for the slope m of the graph of f at the point (x, f(x)). Then use it to find the…

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Q: Find the derivative of 1-3)* (t3 -8) ,t # 2 2-t

A: Explanation of the answer is as follows

Q: Consider the series -3+ 5" n=0 To determine if this series converges, you could use O Divergence…

A: To test the convergence of the series

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = fx) 8.…

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Q: Find the intervals on which the graph of f is concave​ upward, the intervals on which the graph of f…

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Q: When a drug is intravenously administered to a patient on a continuous basis, the amount A (in…

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Q: evaruate 6 (i-1) 13. +=3

A: Open the summation for the given value  of i

Q: 2. [sin? x cos' x dx 4. [ cos’ 0 d0

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Q: c) Find an equation for the plane parallel to the plane 2x – y + 2z = -4 if the point (3, 2, –1) is…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 11 of the distance from which it 12 A Super Happy Fun Ball is dropped from a height of 5 feet and…

A: This is a problem related to sequence and series. Based on the general formula and concepts we will…

Q: Using the FOUR-STEP RULE, find the derivative of y= tan(x) %3D

A: Given query is to find the derivative of the expression.

Q: 4. P(1,-4,-5) and parallel to the plane 2r +4y- z 0. Also, sketch the graph of 2. Determine the…

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Q: show

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Q: Let f(x) 16 Using the definition of derivative at a point, f(9) f(z)- f(9) lim , enter 6. the…

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Q: y" tuy=3(sct

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Q: divergence. , (-1)"-1 R 2n Test the series for convergence or

A: Here we use the ratio test for convergenceFor a series ∑an  then limn→∞an+1an=L then (i)  if L&lt;1…

Q: Q2. 4. Given vectors P= 4i - 2j 5k: Q = -i+ 3j - 6k: find PxQ. Select one: O a. -3i + 19j - 1ok O b.…

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Q: -3x cos (5x)dx

A: