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Q: Show complete solution.

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Q: 4.81. Evaluate each of the following: (a) 2 mi J e³z dz, mi (b) | sinh 5zdz. ·S 0 (c) mti ! z cos 2z…

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Q: Please, I need the answers of other tutors to check, thank you very much! Find the vertical and…

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Q: Question 6 Use differentials to find the approximate value of y: (2x - 1) when x = 0.98. A 0.88 0.98…

A: Given; y:(2x-1)4, x=0.98

Q: Suppose g(x)=ab^x is an exponential function that passes through the points (2,3)and (1,6).…

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Q: The graph of f(x) = -² 3r is shown alongside. a Use the graph to estimate the gradient of the…

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Q: 5. Let f(t) = 2t + cost-2. The positions at time t≥ 0 of a particle moving along a coordinate line…

A: Hdhd ggg ghhhhhh hhhh ghhh0222222333 mmmm

Q: graph of g(x). 6 Ay 4 3 2 1 −4 −3 −2 −11 2 y=g(x) 1 2 3 4 5

A: If g(x) is the first derivative of f(x), then f(x) has a relative minimum at x=3.

Q: The limit of the sequence {In(7n) - In(9n+8)}_₁ is

A: To find the limit of the given sequence

Q: ind the limit. (If an answer does not exist, enter DNE.) x² - 3x + 2 x - 3 lim X→ 3

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

Q: If C(x) = 9x² - 8, find the following. (a) C(0) (b) c(-1) (c) C(-3) (d) ((--)

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Q: tan[e²-1]. find the differential dy of the function. Let y = tan dy= ²² (2²-1) sec²[e-1] dz

A: Given

Q: For all positive numbers xvand ywith y≠1 ln(y)/ln(x)​=log(y)/log(x)​ true or false or impossible…

A: It is true

Q: se a calculator to approximate the degree measure (to 1 decimal place) of the angle 0 subject to the…

A: Given query is to find measure of indicated angle.

Q: The velocity of a particle moving in a straight line is given by v = t(t² + 1)³ + 3t. (a) Find an…

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Q: 12. Use Green's Theorem to evaluate ſxydx+x²y³dy, where C' is the triangle with vertices (0, 0),…

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Q: Architecture A special window has the shape of a rectanglesurmounted by an equilateral triangle. See…

A: We have to find the dimensions of the window.

Q: The motion of a spring that is subject to a frictional force or a damping force (such as a shock…

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Q: A rectangle is inscribed in the region bounded by the graph of y= e1-2x^2  and have one of its side…

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Q: f (3 — e3x)3dx

A: The given integral is: I=∫3-e3x3dx   As we know the Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And use the…

Q: x - 5 lim £→5 x2 – 5 Enter DNE if the limit does not exist. Limit=

A: To find the limit of the function

Q: solve each inequality.   x2+x>0

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Q: 61. lim x¹/(1-x) x-1+

A: NOTE: Refresh your page if you can't see any equations. . use the exponent rule

Q: 11

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Q: -. Evaluate f23 f(x) dx where f(x) 5 { = x≤-1 3x + 4 x>-1 Geometrically. Please draw a picture.

A: NOTE: Refresh your page if you can't see any equations. . the first equation is  y=5 is a…

Q: Q3/Graph the equation r = 2a sin(40) and convert the equation to an equation in Cartesian…

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Q: (x- 2. Find (algebraically) the absolute maximum and minimum values of f(x) = x² interval (0, +∞),…

A: Given : find critical points equate to zero

Q: A particle moves along the x-axis with acceleration given by a(t) = 27 sin (πt) for time t≥ 0. If…

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Q: Use continuity to evaluate the limit. lim 9 sin(x + sin(x)) X→π

A: See this solution in below.

Q: Evaluate Ja z²dx - zdy + 2ydz, where C₂ is the line segment from P(0, 1, 1) to Q(1, 2, 3).

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Q: Consider the function f(x) = 5 - 7x², -3 ≤ x ≤ 2. The absolute maximum value is and this occurs at x…

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Q: Evaluate the integral as a power series. 1. f(x) 3. f(x) S J) = freds f(2) 1 4. f(x) 2. f(x) = Σ n=0…

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Q: Complete the table by finding u and du. [f(g(x))g'(x) dx 1./ (8. 2₁ / 1² √ ₁²³ + 1dx 1./ (8x² + 1)²…

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Q: Find equations of the tangents to the curve x = 9t² + 3, y = 6t³ + 3 that pass through the point…

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Q: A cup of coffee at 90° C is put into a 20° C room when t = 0. The coffee's temperature is changing…

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Q: 1. Find for the following by implicit differentiation: dy dx 18x9-5 cot y = y² - 18x

A: Given:  1) 18x9-5cot y=y9-18x Implicit differentiation:    Differentiating on both sides…

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: Classify the critical value(s) of ƒ (x, y) = (x² + y) e² as a local maximim, minimum, or as a saddle…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Determine the radius and interval of convergence of the following power series. x2k+1 13k-1 Σ

A: NOTE: Refresh your page if you can't see any equations. .

Q: The function f(x) critical numbers. = 2x³ 39x² + 240x-5 has two 3 The smaller one is x = and the…

A: Critical numbers of a function f(x) is the values of x for which f'(x)=0.

Q: Below is the graph of y = f(x). Find 5 10 10 f(x)da. Round your answer to three decimal places.

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Q: 4.82. Show that f/2 sin² z dz= f/² cos² z dz = π/4.

A: To show that, ∫0π2 sin2 z dz=∫0π2 cos2 z dz=π4.

Q: Determine the type of DE: - − ydx + (x + √xy) dy = 0 Homogeneous Bernoulli's equation Both…

A: To determine the type of the following DE:-y dx+x+xy dy=0

Q: write a formula for ƒ  g  h.7. ƒ(x) = x + 1, g(x) = 3x, h(x) = 4 - x8. ƒ(x) = 3x + 4, g(x) = 2x -…

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Q: How did you get pi/6 as the upper phi limit?

A: Let's find upper limit of phi.

Q: Test.

A: We have to consider the given statements are correct or incorrect according to the given information

Q: The accompanying figure shows the graph of a function ƒ(x) with domain 30, 24 and range 30, 14. Find…

A: We have to find the domain and range.

Q: 2. A company has a contract to cover the four walls, ceiling, and floor of a factory building with…

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Q: 1. The graph a. Use the graph to estimate the gradient of the tangent to the curve at the point…

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Q: A culture of bacteria is growing at the rate of 20e0.8t cells per day, where t is the number of days…

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