Evaluate the function at the indicated value of x. Round the result to three decimal places. Function Value h(x) = 4000e0.06x x=5 5399.435 5499.435 5599.435 5749.435 5449.435

Q: Verify Green's Theorem by evaluating both integrals dA [_v² dx + x² dy = [ ] (ON-OM) DA ду for the…

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Q: Suppose that f is integrable on [-4, 7]. If the average value of f on the interval [-4,7] is 4.25,…

A: Given,             Suppose that f is integrable on -4,7. The average value of f on the interval…

Q: For the right triangles below, find the exact values of the side lengths b and c. If necessary,…

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Q: x²+4x+10 x3+2x²+5x dx

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Q: -1.5 (-0.7,02) -0.5 2+ 1.57 1 3 0.5 (0.7,0.2) -0.5- (-1.2,-1) -1.5- -2 are the critical values of f?…

A: Given query is to find critical points and interval where derivative is greater than zero and less…

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Q: Find the absolute maximum and absolute minimum values off on the given interval. (Round all answers…

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Q: ∫ (1 + secx)2 dx Evaluate indefinite anti-differentiation

A: Solve it

Q: Plot the curve r = 1+sin 8. Then find the length of the curve.

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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: el Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (3t+ 2)i + tj, 0 ≤ t ≤ 1

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

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Q: The Smith's borrow $45,000 to purchase a new home. They finance the amount through a 25-yr mortgage…

A: Given problems:- 1. The Smith's borrow $45.000 to purchase a new home. They finance the amount…

Q: a graphing utility to construct a table of values for the function. Round your answer to two deci H…

A: Given query is to find the table using graphic utility.

Q: [in (w)² ]] 4 W dw

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-ax 2² y=…

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Q: x2 – 4xy – 2y2) dx + (y2 + 4xy − 2x2) dy = 0

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Q: 6. Evaluate the following integrals. 1/4 (2) [¹ sec³ πt dt

A: 6. ∫014sec3πt dt Note:    Multiple questions are given, we are answer with only one question.

Q: Use Cramer's Rule to solve this system of linear equations: x+y+z=3 4x-y+z=0 -7x-y + 2z = -3 Find…

A: The equations can be written as;1114-11-7-12 xyz=30-3D=1114-11-7-12   =1(-2+1)-1(8+7)+1(-4-7)…

Q: ∫(4x3−12x)(x4−6x2)−3 dx Evaluate the following integral using substitution rule or integration by…

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Q: 1. Use the limit definition of derivative (no shortcuts!) to find the derivative of f(x) = 3x² + 2x.…

A: Recall: To find derivative,  f'(x)=limh→∞f(x+h)-f(x)h We have, f(x)=3x2+2x

Q: Determine whether the statement is true or false. If C is a smooth curve in the xy-plane and f(x, y)…

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Q: Compute the following determinant. 4 -6 |-4 1|

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A: Area = integration of 1/2 (r2^2 - r1^2) d(theta)

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Q: 2 30 مر ول 2 + 6 +

A: In this question we have to solve the Integration.

Q: Find the arc length L of the graph of r(t). L: = r(t) = 10 cos(t)i + 10 sin(t)j + tk, 0≤t≤ 2π

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Q: Find the equation for the tangent and normal lines for f(x) at the specified points. Show your…

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Q: A-3i6j+2k B = -8ż+4j - 10k D = −9i – 3j - 7k C2i 3j+ 9k ming the 4. If G=Bx (A × D) and H = (A × C¹)…

A: G=B×A×DSubstitute A=3i-6j+2k and…

Q: 343 2 1. y = x² - 9 and y = x + 3 (Answer: 6 s. u.)

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Q: inverse laplace (7s-2)/(25-s^2)

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Q: Strontium-90 is a radioactive material that decays according to the function A(t) = Ao e -0.0244t,…

A: Given : a.   Decay rate = -0.0244= -0.0244×100%= -2.44 %

Q: Find the exact area under the graph of f(x) = = and x = 2. Area = 1 x+1 between r=0

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Q: 4. Find the absolute extrema for the function f(x)= on the interval -5 ≤x≤0.

A: To find the absolute extrema of the given function in the interval [-5,0].

Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx = 17 and x terminates in quadrant I.

A: Given that  cos x = 1517 and x terminates in quadrant I. We have to find  sin 2x, cos 2x, and tan…

Q: 10. Use the definition of limit to show that a. lim (x² + 4x) = 12, Z-2

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

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Q: Consider a triangle ABC like the one below. Suppose that A = 65°, B=55°, and c=40. (The figure is…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

A: This is a problem related to vector calculus. Based on the general formula of green's theorem we…

Q: Evaluate the definite integral. NOTE: Enter the exact answer. S||ti + 1²j|| dt = |

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Q: (-0.7, 0) -0.5 (2-1) 2 ده - د.0 - گا - 2t (0.7,0.2) (1.5.2) ۱۰

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Q: ume that x and y are differentiable functions of t. For the following, find dx/dt given that x = 8,…

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Q: The average price of a two-bedroom apartment downtown New York City during the real estate boom from…

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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: Please help

A: Solution: h(t)=12t +18t3/2 -6t2 when it reaches maximum upward velocity h'(t)=0

Q: Recall that the Maclauren series expansion for f(x) is given by f(n) (0) r. Find the Maclauren…

A: The function is given by fx = ex Tp evaluate: The Maclauren series of the function fx.