Use local linear approximation to estimate In(1.08)

Q: 1. Find the area of the region enclosed by the given curves. a) y - x² = 2x and x + 4 = y

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Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

A: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

Q: The rate of change of the temperature, r(t), in an oven (in degrees Celsius per minute) t minutes…

A: To find out the temperature change using simpson rule.

Q: a) Find a polynomial P(x)= a + a₁x+0₂2² +03x³ +ay 20² +a5 205 of degree 5 such that as = 1, and…

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Q: 38. F = (8xy + 3) + 4(x² + y) 5

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Q: Write the logarithmic equation in exponential form. log7 2 49

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Q: Consider the following. (1, 1) 2 6 10 X 4 X=8 -4 y = 2-x -6 -8F (a) Form the integral that…

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Q: Find the extreme values of on [-2,2]. f(x) = Sre™, x 0

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Q: Consider the curve parameterized by x = 3t²3 and y = 2t³. Find equations for all tangent lines to…

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Q: The population of a city is 75,000. If the population is declining continuously by 3.7% per year, in…

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Q: 7. Find the flux of F(x, y, z) = x î+ y ĵ+ z² k across the sphere of radius 1 centered at the origin…

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Q: 1 Rewrite the logarithmic equation log4 16 -2 1 Gr= 16 04² = 21/160 4-2 4²/16--2 416 = -2 4-2= O O =…

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Q: Find the slope of the tangent line to the curve 4x² 3xy - 2y³ = - 26 - at the point (4, 3).

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Q: me population of a colony of mosquitoes obeys the law of uninhibited growth. Use this information to…

A: Given query is to find the population after 4 days.

Q: Which of the following statements are TRUE? (Circle ALL that Apply) Optimization can mean…

A: Two multiple choices questions are given. These questions are from algebra and calculus. We have…

Q: 1. Several statements about the definite integral of a continuous function f(x) over [a, b] are…

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Q: ectile is launched straight up in the air. Its height (in feet) t seconds after launch is given by…

A: Given query is to find the velocity at indicated point.

Q: = F(x₂) For the function f(x) = sin(x), write Newton's formula as n+1 = solving f(x) = 0. Type in…

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Q: Use Stokes' Theorem to evaluate fr. F. dr. C F(x, y, z) = 5xyi + 5yzj + 5zxk where is the triangle…

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Q: Consider the plane curve given by the parametric equations x = t² + 3t - 26 y = t² + 3t - 28 - What…

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Q: A 25-year-old woman burns 200- 20t cal/hr while walking on her treadmill. Her caloric intake from…

A: According to the company rule we can answer only first question and rest can be reposted.

Q: 2. Evaluate fff 12ydV where the limits of integration is the region below 6x + 4y + 3z = 12 in the…

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Q: 8. Find the scalar equation of the line passing through the point (1, 5) that has a normal vector…

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Q: IPIAI Evaluate p²^z^¸¶= J=

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Q: 12 71. (-5-81) 1-4 1000

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Q: For the function y = f(x) = 4 1+x²³ a. Find the slope of the line tangent to its inverse function at…

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Q: Find a, and d for each arithmetic series. See Example 8. 61. S20 1090, 920 = 102 www 63. S16-160, 16…

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Q: ∫cos(7t) dt Evaluate the following integral using substitution rule or integration by substitution

A: ∫cos(7t)dtSubstitute u=7t→dudt=7→dt=17du

Q: lars) from the production and sale of x units of a product is

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Q: Find the points on the curve where the tangent is vertical. x=1³-3t, y-t³-31²

A: First we find dy/dx

Q: - 3x³ - 5: For the function y = f(x) = df a. Find at z = 2. dx f'(2) = b. Find a formula for x = f…

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Q: ompute the surface integral over the given ented surface: = y'i + 7j - xk, portion of the plane - 1…

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Q: X 75 ft 0 A pole stands 75 feet tall. An angle is formed when wires of various lengths of a feet are…

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Q: If √√x + √y = 10 and y(9) = 49, find y' (9) by implicit differentiation.

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Q: The curve r(0) = cos(60) is sketched below for 0 ≤0 ≤ 2π. Determine the exact area enclosed by one…

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Q: 2) Use the definition of the derivative, f'(x) = lim Ax-0 derivative of f(x) = 5x² + 3. f(x+Ax)-f(x)…

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Q: 9) Evaluate the following indefinite integrals a. [(5x¹ + x² + x) dx b. 9x²(x³ +5)*dx c. S7 C. dx…

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Q: A) ( This problem consists of two parts. Evaluate the following indefinite integral 5 TVER _ln(x+1)…

A: To evaluate: ∫51-x2+x21+x3+lnx+1x+1dx Let I = ∫51-x2+x21+x3+lnx+1x+1dx I =…

Q: Decide if the limit exists. If it exists, find it. x²-25 a. lim b. lim X-5 x+5 x²-36 x-5 x-5

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Q: In the simple model of a national economy:

A: answer is in next step

Q: f(x)= = x+1 1³ - 2x² + 1

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 3 cos…

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Q: 24 ue'sin(s + 2t)

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Q: Let f(x)= x+1 1³ - 2x² + 1

A: Solving the problem by finding the fraction from the expression.

Q: ∫12v (7+6v2)9 dv Evaluate the following integral using substitution rule or integration by…

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Q: ven the equation below, find dr 30x² + 5x¹5y + y¹0 = 36 I w, find the equation of the tangent line…

A: We will find the tangent equation and slope.

Q: Solve the problem. A business estimates that the salvage value V of a piece of machinery after t…

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Q: If f(x) = 6(a-3/+7), find f'(2). Find f'(5).

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Q: Question 5 Given that f f(x) dx = 3 and f f(x) dx = 4. A) S₂ f(x) dx = B) f²3f(x) dx C) f f(x) dx =…

A: topic - definite integral

Q: Consider the solid torus (the donut-shaped solid shown in the figure) with radii 5r and 6R. a = 6 b…

A: We have to find the integral and volume.