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In Exercises 29–36, use technology to evaluate the given expression. Take

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Chapter 5 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
- Can you help explain what I did based on partial fractions decomposition?arrow_forwardSuppose that a particle moves along a straight line with velocity v (t) = 62t, where 0 < t <3 (v(t) in meters per second, t in seconds). Find the displacement d (t) at time t and the displacement up to t = 3. d(t) ds = ["v (s) da = { The displacement up to t = 3 is d(3)- meters.arrow_forwardLet f (x) = x², a 3, and b = = 4. Answer exactly. a. Find the average value fave of f between a and b. fave b. Find a point c where f (c) = fave. Enter only one of the possible values for c. c=arrow_forward
- please do Q3arrow_forwardUse the properties of logarithms, given that In(2) = 0.6931 and In(3) = 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations. (Round your answers to four decimal places.) (a) In(0.75) (b) In(24) (c) In(18) 1 (d) In ≈ 2 72arrow_forwardFind the indefinite integral. (Remember the constant of integration.) √tan(8x) tan(8x) sec²(8x) dxarrow_forward
- Find the indefinite integral by making a change of variables. (Remember the constant of integration.) √(x+4) 4)√6-x dxarrow_forwarda -> f(x) = f(x) = [x] show that whether f is continuous function or not(by using theorem) Muslim_mathsarrow_forwardUse Green's Theorem to evaluate F. dr, where F = (√+4y, 2x + √√) and C consists of the arc of the curve y = 4x - x² from (0,0) to (4,0) and the line segment from (4,0) to (0,0).arrow_forward
- Evaluate F. dr where F(x, y, z) = (2yz cos(xyz), 2xzcos(xyz), 2xy cos(xyz)) and C is the line π 1 1 segment starting at the point (8, ' and ending at the point (3, 2 3'6arrow_forwardCan you help me find the result of an integral + a 炉[メをメ +炉なarrow_forward2 a Can you help me find the result of an integral a 아 x² dxarrow_forward
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