1. sin x sin 2x + cos x cos 2x = COS X

Q: You are taking a road trip in a car without A/C. The temperture in the car is 105 degrees F. You buy…

A: Above question is solved.

Q: Consider the function f(x) = 1-5x², -4≤ x ≤ 1. The absolute maximum value is and this occurs at x =…

A: Consider the function fx=1-5x2, -4≤x≤1.To determine absolute maximum and absolute minimum value of…

Q: Which of the following IS NOT parallel to HA A B H F E C D

A: Given figure:-

Q: 2 √9x²-16 x² dx

A: We will use substitute method to solve the integration

Q: Find the speed of the object whose position function is given by F(t) = (4t² - 1, 4t - 2, t³ + 6t)…

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Q: Find the mass of the surface lamina S of density p. S: z = √₂²x² - y², p(x, y, z) = kz ka+n 2 X

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Q: 5 Find the derivative of f(x) = -4√x + T8 Type your answer without fractional or negative exponents.…

A: To find the derivative of the given function.

Q: Which of the following functions will have a dashed line for the graph? y ≤ 4x^2 + 1 y = 4x^2 + 1…

A: Question : Which of the following functions will have a dashed line for the graph? 1. y ≤ 4x^2 + 1…

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: 2 1 Expand 2y 0.013 2 3. ✓0.0004:

A: Given problem:- Expand 2y210.013y2230.0004

Q: (a) As an iterated integral, with limits of integration A = B = C = D= Suppose f(x, y, z) = E = F=…

A: Let's evaluate triple Integral.

Q: 3. a. f(-2)= b. f(1) = c. lim f(x) =

A: Note :- This is multiple sub parts questions and according to our company guideline we can do…

Q: Let à = (-2, 2, 3) and 6 = (4, - 1,5). Find the projection of b onto a. proj, b =< Check Answer

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Q: -2-1 5 HA 4 у 3- 2 1 1 2 3 4 5 6 7 2 8 9 10 K

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Q: Solve the differential equation (3x² - 2y²) y' = 2xy; y (0) = -1 O a. y² = 2x²(x + 1) O b. x² =…

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Q: Evaluate the triple integral W z dV where E is the solid bounded by the cylinder y² + z² = 100 and…

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Q: Find the arc length of the curve on the interval. r(t) = (3 sin(t), 7t, 3 cos(t)), 0 ≤ t ≤ The…

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Q: Exercises: Use the theorems on limits to evaluate each of the following, if it exists. 1. lim (2x³…

A: See this solution in below.

Q: Use spherical coordinates to evaluate the triple integral e-(x²+y²+z²) x² + y² + z² where E is the…

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Q: Vincent purchased a car using a 5-year car lease at 4.50% compounded quarterly that required her to…

A:

Q: Assume that the temperature of a person during an illness is given by: T(t) = 8t/t^2+7 , where T is…

A: The answer is given in step 2.

Q: Find the the first maclaurin following: four Series nonzero for each terms of the

A:

Q: 2. The piecewise function g(x) is defined as follows (x+2)³ g(x) = cos(x) (x-1)²/2 if x 1. (a)…

A: Please see the below picture for detailed solution.

Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Find the average value of the function over the given Interval. (Round your answer to three decimal…

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Q: 8. A trapezoid has its vertices at (0,0),(a,h), (a + b1, h), (b2,0), with all the letters denoting…

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Q: The acceleration of an object (in m/s2) is given by the function a(t) = 5 sin(t). The initial…

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Q: 1,-1, 3), 6 = 2-(0, 5, -2) Find 52 +22-46 C a Let a = O (5, 1, 1) *(5, 7, -1) O(18, 35, 12) O(-14,…

A: Topic:- application of algebra

Q: 6. What are the restrictions on the variable for a) x #8 b) x # 4 c) x # 2 d) None of the above 8 2x…

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Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to…

A: We have to find the sum  ∑j=16 8j + 5.

Q: 2 8. y' + ²y = -x²y² cos x

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Q: у 7. y' +²√y = 0, y(1) = 0 - x

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Q: Use spherical coordinates to evaluate the triple integral D Answer= pi(0.2147)(2) E -(x²+y²+z²) /x²…

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Q: 5. Which of the following functions grows the slowest as x goes to infinity?

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Q: Consider the following second-order differential equation with constant coefficients, d² - z (x) − 8…

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Q: A diabetes test is positive 85% of the time when the patient has diabetes and negative 95% of the…

A: Given data:- Diabetes test is positive 85% of the time when the patient has diabetes  diabetes test…

Q: e) fx³ √2x² +1 dx wil(-) {. ub f CP

A:

Q: What is the general solution to the the differential equationy'''=0? A y=C₁+C₁₂x 1 By=C₁+C₁₂x+C₁₂x²…

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Q: a) 0 1:3 x dx -3√√9-x² V 2

A: The objective is to evaluate the integral.

Q: Find the radius of convergence, R, of the series. R = 00 I = n = 1 xn n45n Find the interval, I, of…

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Q: Find the the e following: sinx first maclaurin four Series nonzero for terms of each (21) S² Tara d…

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Q: Find the point at which the line F(t) = + t intersects the zz plane. Check Answer

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Q: 2 (2y² + 5xy 4 Ο α. χ' (y² + 2xy = y + 2) = C O b. x4 (y² O 2y + 4) dx + x (2x + 2y − 1) dy = 0 - -…

A: The given differential equation is; 2(2y2+5xy-2y+4)dx+x(2x+2y-1)dy=0.

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: Evaluate (² + y2) ds, C is the top half of the circle with radius 2 centered at (0,0) and is…

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Q: Given x = y² + y + 1 from 0≤ y ≤2 1. The arc length of the given curve over the interval is 9. 7:38…

A: Given: x=y2+y+1 from 0≤y≤2To Find: To determine the arc length of the given curve over the given…

Q: Evaluate the limit of the given functions. 3x² - 17x+ 20 25x + 36 1. 2. lim x+44x² t³-1 1 lim t-1…

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Q: Which function has Maclaurin series (-1)"2""? n:o OAI OB 8. 2/7/2 Oc O D. TIZE D.E. 2

A: The given series: ∑n=0∞-1n2nxn

Q: (y¹ - 2xy)dx + 3x² dy = 0

A:

Q: For y=5x^−2+8x^−3−7x−4, find dydx.

A: