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The position (in thousands of feet) of a car driving along a straight road at time $t$ in minutes is given by the function $y = s(t)$ that is pictured below. 14 10 6 2 2 6 10 Let $v(t)$ denote the velocity of the car (in thousands of feet per minute) at time $t$ (in minutes). Which graph A-F is the best representative of the derivative function $v'(t)$? Which of the following statements are true? Select all that apply. A. When $v(t)$ is positive, $v'(t)$ must also be positive. B. The function $s'$ represents the acceleration of the car. C. The function $s$ represents the position of the car. D. If $v(t)$ is zero, then $v'(t)$ must be zero. E. When $v(t)$ is negative, the car is slowing down. F. When $v'(t)$ is negative, the car is moving backwards. G. There are times when $v'(t)$ is zero and $v(t)$ is not zero. H. None of the above statements are true.

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Verify that the indicated function y = 𝜑(x) is an explicit solution of the given first-order differential equation. (y − x)y' = y − x + 2; y = x + 2 x + 6

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12. Monomeric unit of cellulose is a) Glucose b) Fructose c) Mannose d) Ribose

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A toboggan approaches a snowy hill moving at 14.3 m/s. The coefficients of static and kinetic friction between the snow and the toboggan are 0.490 and 0.350, respectively, and the hill slopes upward at 40.0 above the horizontal. Find the acceleration of the toboggan as it is going up the hill. A) -3.21 m/s$^2$ B) -6.66 m/s$^2$ C) -8.93 m/s$^2$ D) Zero

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Multiple Auto Insurance Coverages - Due 2/18 Do you know that a person can be protected not only by their auto insurance policy but also by another person's auto insurance policy? Here is an example: Bob has auto insurance coverage with a $100,000 coverage limit. Bob's car was due for maintenance, so he dropped his car off at Firestone. But Bod need'ed to visit his customer for an important business appointment, so he borrowed a car from his girlfriend, Mary. Mary also has auto insurance on her car with a $50,000 coverage limit. While driving Mary's car, Bob negligently injured another motorist when he failed to stop at a red light. Do you know how their auto insurance will pay the loss? If a court awards a liability payment of $75,000 against Bob, how much if any, will each insurer pay? Note: Under a primary and excess insurance provision, the primary insurer pays first, and the excess insurer pays only after the policy limits under the primary policy are exhausted. 19 19 Multiple Auto Insurance Coverages - Due 2/18 Do you know that a person can be protected not only by their auto insurance policy but also by another person's auto insurance policy? Here is an example: Bob has auto insurance coverage with a $ 100,000 coverage limit. Bob's car was due for maintenance, so he dropped his car off at Firestone. But Bod needed to visit his customer for an important business appointment, so he borrowed a car from his girlfriend, Mary. Mary also has auto insurance on her car with a $50,000 coverage limit.While driving Mary's car,Bob negligently injured another motorist when he failed to stop at a red light. Do you know how their auto insurance will pay the loss? If a court awards a liability payment of $75,000 against Bob, how-much if any, will each insurer pay? 1 Note:Under a primary and excess insurance provision,the primary insurer pays first, and the excess insurer pays only after the policy limits under the primary policy are exhausted.

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Both blood and lymph are examples of connective tissues. True False

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The differential equations representing the dynamics of the system are $ml^2\ddot{\theta}_1(t) = mgl\sin\theta_1(t) + a\cos\theta_1(t)F_{sd} + T(t)$ $ml^2\ddot{\theta}_2(t) = mgl\sin\theta_2(t) - a\cos\theta_2(t)F_{sd} + \alpha(t) + \beta\dot{\theta}_2^2(t)$ where $F_{sd} = ka(\sin\theta_2(t) - \sin\theta_1(t)) + da(\dot{\theta}_2(t) - \dot{\theta}_1(t))$ which gives the following set of differential equations $\ddot{\theta}_1(t) = \frac{1}{ml^2}[mgl\sin\theta_1(t) + a^2\cos\theta_1(t)(k(\sin\theta_2(t) - \sin\theta_1(t)) + d(\dot{\theta}_2(t) - \dot{\theta}_1(t))) + T(t)]$ $\ddot{\theta}_2(t) = \frac{1}{ml^2}[mgl\sin\theta_2(t) - a^2\cos\theta_2(t)(k(\sin\theta_2(t) - \sin\theta_1(t)) + d(\dot{\theta}_2(t) - \dot{\theta}_1(t))) + \alpha(t) + \beta\dot{\theta}_2^2(t)]$

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The answer above is NOT correct. Consider the initial value problem y' = \sin(\pi t), y(-1) = 0 Use Euler's Method with five steps to approximate y(0) to six decimal places (do not round intermediate results). y(0) \approx

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Use the binomial formula to find the coefficient of the $p^3q^{21}$ term in the expansion of $(3p+q)^{24}$.

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C1 + 20 k? + v3 C3 15 k? 30 k? 5 k? + v1 C4 v4 10 k? C2 + v2 + 15 V What is v2 in the above circuit (DC conditions)?

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harry f.