1. Find the area between the two curves. Be sure to show the representative rectangle in the 1st quadrant.

Q: x = 2. (a) lim Below is the graphs of f(x) and g(x), and their tangent lines at YA y = 1.8(x-2) 0 x…

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Q: Determine whether the series converges or diverges. Σ 5 sin (²) n n = 1

A: The given series is

Q: Choose the correct graph below OA O OB. Oc W NE

A: The derivative of the downward parabola is the line with a negative slope.The derivative of the…

Q: Evaluate the following limits algebraically. 1. lim x--> - infinity   2x^2 / (x^3 + 5x)

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: 61. Presale Order A wireless store owner takes presale orders for a new smartphone and tablet. He…

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Q: The system of first order differential equations y₁ = 5y₁ + 1y2 y₂ = −4y₁ + 1y2 where y₁ (0)= 4, y2…

A: The objective of the question is to verify if the given functions y1(t) = (4 - t)e^(3t) and y2(t) =…

Q: k. y = ln x 1. m. y = y = 5 cos x + 8 lnx + 3x³ 3x¹+3x²+1 x

A: Given: y= ln(x)Solution: y= ln(x)Differentiating y with respect to x we have dydx= ddx(ln(x)) ⇒y′=1x

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: Given,

Q: What are the radius and the coordinates of the center of the circle with equation x2 +(y-2)2=30

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Q: Given the definitions of f(x) and g(x) below, find the value of (fog)(-4). f(x) = 3x² + 6x – 13 g(x)…

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Q: Step 1 of 4 Find lim foo 10 3 Enable Zoom/Pan

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Q: f(x) = cos² (3x + 1) − sin² (3x +1) f(x) = ln 1-sin 2.7

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Q: 15. A hot-air balloon is rising straight up at 5 ft/sec. An observation area is located 80 feet from…

A: Hsnsnsn

Q: Evaluate ∫∫∫E 1/(x^2+y^2+z^2 )dV where E lines between the spheres x^2+y^2+z^2=4 and x^2+y^2+z^2=16…

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Q: Find T 1 = -1 wwwman x² dx + C

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Q: Compute the indefinite integral of the following function. r(t) = te'i +t² cos t³j 3 4t 4 k Select…

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Q: Let f(x) = 3x - 6 and g(x)=x+3. Find each composite function and describe the domain of the…

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Q: Given an acceleration vector, initial velocity (uo.Vo), and initial position (Xo Yo). find the…

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Q: f 9 csc (2) sec (2) dx Evaluate the integral above by taking the derivative of each answer choice to…

A: We have integrate the given expression

Q: Evaluate the following limits algebraically. 1. lim x---> 2      {5x - 7; x = 2

A: Note:-Since you asked multiple questions according to our polcy we can answer only first question…

Q: Evaluate the given definite integral. [²e" 7 e" du t

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Q: Find the difference quotient of f; that is, find f(x) = 3x² - 4x + 4 f(x+h)-f(x) h h#0, for the…

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Q: Given the hyperbola: 2²-2²2² 1 9 4 = (a) Graph the hyperbola and label the coordinates of the…

A: Given that a equation of hyperbola and we find centre, vertices and foci and equation of two…

Q: Derive the formula of a circle using horizontal strip

A: We need to derive the formula of the area of a circle by using horizontal strip

Q: g. y = ex² +1 h. y = esinx y = ln(sin x) i. j. y = ln² + e√x X 6. L

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Q: The total revenue for a product can be calculated as the area under the demand curve. Suppose that…

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Q: Find an equation of the line tangent to the following curve at the given point. 2 5x 3' 6 y = T= 1…

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Q: Consider the parametric curve: x Y 4 +² +³4t At which t value(s) is the tangent to this curve…

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Q: For answer in part "E", is the answer 1/2 ln| sqrt(x^2+4/x^2) - 2/x |+C or 1/2 ln| sqrt(x^2+4) / x^2…

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Q: nn n=0 4"n! η!

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Q: lim x-0+ x lim x-0-x² g. h. 2 1+x i. lim (¹+2) ² →? x-2

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: 8. The largest angle of a triangle has a measure that is 10 degree less than three times the measure…

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Q: Find the arc length for the curve c(t) = (t³ + 1, t² – 3) over the interval 0 ≤ t ≤ 1.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: xp£p( c£xZ+& ,x)_JJ A

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Q: Which of the following represents the limit definition of the definite 16 integral 26 4x5 dx using a…

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Q: If f is continuous and f(x) dx = 12, find So f(2x) dx.

A: Given that To find

Q: A bacteria is known to increase a rate proportional to the amount present. After 2hours 1500 strands…

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Q: Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = 4zi +…

A: We have to find the flux of the curl of the field F using surface integral in Stoke's Theorem.Given…

Q: Let Z₁ = 6(cos(72) 7π -54 Z1Z2 = Z1 = Z2 + i sin (77)) and Z₂ = X 9(cos(55) + i sin (57)). Find Z₁Z2…

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Q: Convert the following equation to polar coordinates. x=2y² The polar form of x = 2v² is. (Type an…

A: Given,

Q: Find the ninth term of the binomial expansion. (p+q) ¹¹

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Q: 3. Solve (3x + y)dx + (x+2y)dy = 0

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Q: Express the limit as a definite integral on the given interval. lim n→∞ i = 1 exi 3 + X; Ax dx [0,…

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Q: d. y = (x² + x + 1)15 sin(lnx) e. y = f. y = √√x³ + x² + x + 1

A: As per our guidelines we can answer only 3 subparts of the given problem so kindly repost the…

Q: 9. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval 0, π], are…

A: Given that the function are

Q: 19. Use Newton's Method to estimate the one real root of f(x)=x²+2x-2. Start with x = 1, and perform…

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Q: A company incurs debt at a rate of D'(t) = 102(t+10) √ ₁²+ + 20t dollars per year, where t is the…

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Q: Find the indefinite integral of the function g(x)=e^(2x) sin(3x)dx

A: The objective of this question is to find the indefinite integral of the function g(x) = e^(2x)…

Q: j. lim sin x x →0 k. lim sin² x x→0 1. lim sin 3x X-Z 2 m. lim cos³ x X→= 2

A: To find:-(j) (k) (i) (m)

Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A: Given,a(t)=t+4v(0)= 70=<t=<10