-4 dx 2. 510

Q: Find the tangential and normal components of acceleration at the given time t for the plane curve…

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A: we have to select the formation of an image

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Q: Q3: Find the remainder when 3181 is divided 17

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Q: Find y'. sin x = x(1+tan y)

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Q: Let f(x) = 4x + 4 and g(x) = 2x² + 2x. After simplifying, (fog)(x): =

A: To find the value of composition of given two functions.

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A:

Q: √x-2 X-4 Evaluate lim X-4 using the following table of values. X f(x) 3.9 0.251582341868501 3.99…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: A doll sold for $249 in 1977 and was sold again in 1986 for $472. Assume that the growth in the…

A: This question is related to exponential function,we will solve it using given information.

Q: 7. Use the Divergence Test to determine whether thee following series diverge or state that the test…

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Q: log (x³y¹z) = b

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Q: If an amount P0 is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

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Q: Consider the following differential equation. t In(t)- dr + r = 4te² dt dr Find the coefficient…

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Q: Q5) Find the absolute maximum and minimum values of D(x,y) = x² - xy + y² + 1 On the closed…

A: Given: D(x,y)=x2-xy+y2+1

Q: дz (B)If Z = f(x,y) , x = s² - t² , y = 2st . Prove that s дл 2 (s² + t²) of дх дz ||

A: Use total derivative and chain rule

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Q: 2 Express (5+1)² in polar form = O 3 [cos 67+isin 67] O 13 [cos 70+isin 70] O 3 [cos 70+isin 70] O…

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Q: The exponential function given by H(t) = 80,042.99(1.0484), where t is the number in 2040. The…

A: This question is based on substitution of values.

Q: The line y - 42-1457 is tangent to the graph of 111 at the point y=2x²-182²-158z+1

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Q: 1 7. If {F(t)} = (-5)3, find F(-1). (s-5)³ A. es B. 4 2e5 8. Which of the ff. series is convergent?…

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Q: Question 2.4. Find all cube roots of -1 in the complex plane. 2e ₂ (i) Ⓒ (i) -1 1 e (5₁)

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Q: Question 2 Let F(x, y, z) = -2y + 2x J. Use Stokes Theorem to find +√7. -d7, where C is a circle…

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Q: Determine the intervals over which the function shown below is continuous. Enter your answer in…

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Q: 1. Evaluate the following integrals: dx -x² + 4x - 3 f) . dx (x - 2)√x² - 4x +3 S

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Q: LT of Heaviside Write the solution for f(t+5)e-stdt. LT of Dirac Evaluate 8(t-5)e-st dt

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Q: Find the first 4 terms in the maclaunin serie, for Y=x/sqart (1-x^2)

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Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: We want to find number of leaps in which cheetah catch up the deer.

Q: A doll sold for $253 in 1975 and was sold again in 1986 for $408. Assume that the growth in the…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 8 [3 CSC4 3 csc4 2x dx 24

A:

Q: If f(x) is continuous in the interval [-2, 1], ƒ(−2) = −4, and f(1) = -1, can we use the…

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Q: as a single logarithm and, if possible, simplify. -log b +3 log c log b + 3 log c = Use parentheses…

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Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 40…

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Q: ) Evaluate using the squeeze Theorem. lim 0² cos (-)

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Q: Find the curvature K of the curve at the point P. r(t) = 4ti + 5t²j, P(−4, 5)

A: Given curve r(t)=4ti+5t2j We need to find the curvature at point P.

Q: [₁ F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = 2yi + xzj + (x +…

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Q: fe7x-3 dx

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Q: Deduction of the second derivative criterion for optimization of functions of two variables using…

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Q: 5 4 3- 2- 1 -5 -4 2 3 -1 -2 -3- -4 -5+ In the above graph of y = f( x ), find the slope of the…

A: In the given graph of y=fx, to find the slope of the secant line through the points -4, f-4 and 1,…

Q: 13T Use reference angles to evaluate sec Enter the exact answers. For the number , either choose…

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Q: Q4/(A) Find the derivative of f(x, y) = xe + cosxy at the point (2,0) in the direction.

A: Given

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A: Given.

Q: Show that the following equation [ has a solution on (0, 2). 42-1 = πX 2 5 cos(-

A: The given equation,       4x-1=5cosπx2

Q: Complete each of the following problems showing ALL your work. Answer the following questions…

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Q: It is estimated that t years from now the population of a city will be P(t) = 20(60 + 3)² - 1100t.…

A: The population of the city after t years from now is given by, P(t) = 20(60+3t)2 - 1100t

Q: following function show that the @f(z)=3z²+57-6 f(2)=4e²+ sinz b are analytic

A: Above question is solved.

Q: Find the solution of the differential equation that satisfies the given initial condition. 2t +…

A: The given differential equation is dudt=2t+sec2(t)2u⇒2u du=2t+sec2(t) dt ..................... (1)

Q: If tant -4, what is tan (t = π)? Enter the exact answer. tan (t) =

A: Given tant=49To find tan(t-π):

Q: Given x= what is the exact value of sin(2T-x)? 1 2 NI O 2 05/50 2

A: Use trigonometric coordinate

Q: Determine 04 O4h 05 O 5h f(2+h)-f(2) h if f(x) = 5x 6.

A:

Q: Car A is 40 km east of Car B and begins moving west at 40 km/h. At the same moment, Car B begins to…

A: Answer is in below steps.