iven the geometric sequence: 30 11' nd a formula for the n-th term: ao = 10, a₁ An a2 90 121

Q: (a) Estimate the area under the graph of the function f(x) = from x = 0 to x = 4 using a Riemann sum…

A: Given: f(x)=1x+4 from x=0 to x=4 and n=10

Q: Point      Line (-8, 7)      x + y = 13 (a) Write the slope-intercept form of the equation of the…

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Q: Let the polyhedron P be defined by x1 + x₂ + x4 ≥ 2 -x1 + 2x2 4 3x2 - x3 ≤ 7 x3 + x4 -1 x2 > 0 X3 20…

A: Given: let the polyhedron P be defined by  x1+x2+x4≥2-x1+2x2≥43x2-x3≤7x3+x4≥-1x2≥0x3≥0

Q: Find an equation for a circle with center at (5, 12) and a radius of 4. Make a sketch of the graph.

A: we need to find out the equation of circle with the given center and radius and also need to sketch…

Q: Using the definition, calculate the derivative of the function. Then find the values of the…

A: Question - Using the definition, calculate the derivative of the function. Then find the values of…

Q: 21. If ƒ(x) = 3x² – x³, find ƒ' (1) and use it to find an equation of the tangent line to the curve…

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Q: For the given function, find (a) the equation of the secant line through the points where x has the…

A: y=f(x)=x2+xat x=1 , x=4 (a)  equation of secant line is y=mx+c,  where m is slope

Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

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Q: Determine whether the given vectors are orthogonal, parallel, or neither. (a) a = (-6, 5, 5), b =…

A: according to bartleby policy we do only first part of multiple questions there for please re post…

Q: Find lim h→0 (a + h)² − a² h O a O b Ос Od 0 does not exist a 2a

A: Given query is to find indicated derivative.

Q: a) Test the convergence of the series (1+x)³ = 1+ 0.5 n=1 b) Given the function f(x) = (1+x)³. i.…

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Q: find the integra

A: we hav to evaluate the integration ∫x4+x-4x2+2 dxsince  the expression  x4+x-4x2+2 = (x2-2)+xx2+2

Q: As the financial consultant to a classic auto dealership, you estimate that the total value (in…

A: The given data is: v=310000+990t2    t≥5p=ve-0.05t To find:  When would you advise the dealership to…

Q: GENERAL and PARTICULAR SOLUTION d²y dx² Find the particular solution to the D.E. = xe given that:…

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Q: Tomi flies a drone in a circular path around an object that is 180 yards east and 180 yards south of…

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Q: Solve the equation. Make sure to check for extraneous solutions A) 4x^2-5= 2^9x+1 B) 3^x= 9^-x+5…

A: see below the answer and calculation

Q: X and Use the shell method to find the volume of the solid generated by revolving the region bounded…

A: given  y=2x , y=-x2 and x=3 about y axis formula for volume is V=∫ab2πx(f(x)-g(x))dx∫xndx=xn+1n+1+c…

Q: Suppose the position of an object moving in a straight line is given by s(t)=2t² +3t+5. Find the…

A: The position of a moving object at any time instant t is given by st = 2t2+3t+5 To determine: The…

Q: Find the sum of the given vectors. a = (2, -3), b = (-1,7) Illustrate geometrically. O y a+b y a+b…

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Q: f(x)=9x², -2≤x≤2

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Q: e20 sin 30 de

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Q: (a) Find the slope of the curve y=x²-3x -4 at the point P(3,-4) by finding the limit of the secant…

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Q: K Given f(x) = 17x³ cos x, find f'(x). f'(x) =

A: The objective is to find the derivative of f(x).

Q: a) Use the Product Rule to find the derivative of the given function. b) Find the derivative by…

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Q: K For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: Əw du aw expressing w directly in terms of u and v before differentiating. Then evaluate and ди Əv…

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Q: 3. A horizontal line through the point (4, 6) is defined by which equation? Ο Α r = 4 OB. x 6 Ocy 4…

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Q: The function h is given by h(x) = x5 + 3x - 2 and h(1) = 2. If h-1 is the inverse of h, what is the…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: Question -   Use the method of cylindrical shells to find the volume generated by rotating the…

Q: Find an antiderivative of the function f ( x ) = (2x + 1) ¹/².

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Q: 5. f Scot(x/3) sin²(x/3) -dx

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Q: Verify the following relations: a) n=1 1 Σ(n-1)³ n=2

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Q: Sy-10 y²-4y+11 2. S dy

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Q: Explain the process of chain rule.

A: Let we have f(x)= u(x).v(x)

Q: 2. Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: Show that the function lim f(x, y) = (x,y) → (0,0) y=x f(x, y) does not have a limit at (0,0) by…

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Q: Pls do fast and i will rate instantly for sure solve inequality 2x^(3)-5x^(2)>=x+6 by considering…

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Q: . Given that y = 3x - 7 is tangent to y = f(x) at x = 2, find the tangent line to y = xf(x) at x =…

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Q: Consider the following position function. r(t) = (t5 + 8, t7, t5 - 5) (a) Find the velocity of a…

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Q: K Find the average rate of change for the function over the given interval. y=ex between x= -1 and…

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Q: Suppose lim f(x) = 7, lim g(x) = -4. 818 x48 x³ f(x) - 6x - 5 + 9x - 7 lim xxx³g(x)

A: The given limit is: limx→∞fx=7, limx→∞gx=-4 To find the value of limx→∞x3fx-6x-5x3gx+9x-7

Q: let f(x) be the function 12x^2-2x+7. Then the quotient (f(6+h)-f(6))/h can be simplified to ah+b…

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Q: Find the volume of the parallelepiped determined by the vectors a = , b = , and c = .

A: Given query is to find volume of the parallelepiped

Q: Find the acceleration of the specified object. A boat is pulled into a dock by means of a winch 24…

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Q: Consider the function H(x): = 23 + 2x - 1 10x + 2 if x > 3 if x < 3 Determine if H is differentiable…

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Q: please answer all three parts A solid is obtained by revolving the shaded region about the…

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Q: Question A3: Table 2 in section 2.4 lists some useful summation formulas. Use those fomulas and…

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 7 1 10 2 3…

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Q: Use technology to find f'(3), f'(16), and f'(-3) for the given function when the derivative exists.…

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