Suppose the position function of an object moving along a straight line is given by s (t) = and you are asked to find the instantaneous velocity at time t = 5. Which of the following limits should you evaluate?

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A: Given data:- The given equation, y=3x near x=8

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Q: Define g(-5) in a way that extends g(x) = x² - 25 x + 7x + 10 to be continuous at x = -5.

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Q: Let f(x)=xsin(x)/1+x. Find f'(pi/2).

A: We can find the answer in the below steps.

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Q: Use E-N verification to prove that - →>>> O as n. Vn

A: the answer is in step 2

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Q: If h(2) = 3 and h'(2) = −8, find. d/dx(h(x)/x) x=2

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Q: af af Find and for the following function. дх ду f(x,y) = (5x-3y)7

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Q: Q1. Find Domain and Range of у sin(x)

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A: We need to evaluate the following limit for the given graph of the function a. limx→-3fxb.…

Q: let a and b be integers such that 7 divides both a+3b and a-2b. Show that 7 divides a

A: Given 7 divides a+3b and a-2b  Then 7 divides (a+3b)+(a-2b)= a+b  And 7 divides (a+3b)-(a-2b)=5b…

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Q: Directions: Consider the following function f(x). Part 1 - Difference Quotient If h = 0, then the…

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Q: y' + 3y = e²x

A: Topic: differential equations we are given equation, y'+3y=e2x Linear differential equation is of…

Q: Solve for the unknown/s. 1. A particle moves horizontally according to the laws the laws--12r+1.…

A: Topic:- application of derivatives   Note:- as per our guideline if more than one question uploaded…

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A: Need to find out that the given differential equation is exact or not.

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Q: omplete the computation. 5, 7, 9) − (7i + 7j) = = |,

A: Given query is to subtract the vectors.

Q: w = xy + yz + xz, x = r cos 0, y = r sin 0, z = re. Findow, when r = 2,0 = π/2. dw 20

A: Concept: Partial derivative: Let's say we have a function f(x, y) that depends on the values of two…

Q: HW, on Tuesday, September 21, 2021 Ⓒ S Trigonometric Substitution dx 2 x² +9

A: Here we have to find the integration.

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Q: 8. Sketch a possible graph of a function g, together with vertical asymptotes, satisfying all the…

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Q: Evaluate the derivative of the following function. f(x) = (5x)4x f'(x) = (Simplify your answer.)

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Q: Find the area of the region that is enclosed by the card 10+ 10 sin 0. OTE: Enter the exact answer.…

A: Topic:- application of integration

Q: 2. Evaluate the following limit (tabulate). 4- x² lim x+2 3-√√x² + 5 O None of the choices. O 0 O It…

A: limx→ 24-x23-x2+5

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Q: Find the partial derivatives of the function 7r² + 4s² + 2t² δω Ər dw Əs θω Ət || || || W =

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Q: 3 dx - (3xsiny + 2ysiny-2) dy=

A: Let's solve given differential equation.

Q: Solve the DE dy/dx + (2/x)y = 6x³.

A: Given,            dydx+2xy=6x3To find : Solve the DE.

Q: Degree 4; zeros: 5-2 i: -3 multiplicity 2 a represent the leading coefficient. The polynomial is…

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Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. 2. y x²-4…

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Q: √√2 7. So 0 dx √ 2 4-x²

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Q: 4 2 -2 P' 2 4 6 8 10 12 14 t (a) Calculate P'(8) and interpret that terms of the deer population.…

A: This is a problem related to derivative graph function. Please follow the procedure given below. As…

Q: 3. (y²-2xy +6x) dx- (x²-2xy +2)dy=0

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Q: 10 B 64 2 2 6 $10 Q

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Q: 1. Find the equation of the tangent line to the given curves at point of tangency, if given. 2. y =…

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Q: Q3. hyperbola has vertices (-5,-1) and (3,-1) and foci (-6,-1) and (4,-1) Sketch the hyperbola a) b)…

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Q: For each of the following functions f(x) (x E R²), describe the sets V₁ ≥ 4 = { x | f(x) ≥ 4 } and…

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Q: 3. lim_ log₂ (x) x-15 4. lim (cos(x)-1)

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Q: Find the derivative of y = In O O a.) dy dx =In(5) +4ln(x) —In(cosx) 4 1 dx X COSX b.) dy = c.) dy 1…

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Q: Q3. Differentiate f(x, y) = xy² + √√x+y² 2

A: f(x,y)=xy2+x+y2