A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 917 - 23x, where q is the quantity of cookies sold when the price per cookie, in cents, is x. Use this information to answer parts a) through f). ....

Q: use mathematical induction to prove the formula for all integers n ≥ 1. 1+2+2^2+2^3+•••+2^n-1 = 2^n ...

A: Given the statement is "For all integers n≥1,  1+2+22+23+ ⋯ +2n-1 = 2n-1".

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Q: an+1 . Recall the special case of the ratio test, which is inconclusive if lim equals one. Prove an ...

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Q: For the series determine whether it converges or whether it diverges. As part of your solution, clea...

A: Given series ∑k=0∞1k3

Q: Find the centroid of the shape with endpoints (0,0),(0,4),(-2,4).(-2,6),(2,6),(2,3),(4,3) and (4,0) ...

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Q: Using the second derivative test, determine the relative extrema of the function f(x)=1/3x3-2x2-5x

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. (R...

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: equation

A: We will find the equation of the quadratic. 

Q: In the quadratic equation problem a student made a mistake in copying the coefficient of x² and got ...

A: Given problem:- In the quadratic equation problem a student made a mistake in copying the coefficie...

Q: Consider the differential equation dy = y +t. dt Given that the general solution to the DE is y(t) =...

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Q: 11. Evaluate dr if possible. If not possible, explain why.

A: We will evaluate the given integral in the following step  

Q: Find the area of the region bounded by the curves y = 2 - x2 and y = -x. Select one: а. 11/3 O b. 9/...

A: This question can be solved using the concept of area between two curves.

Q: Match each Power Series with it's centre. One of the series is not a Power Series, so match that ser...

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Q: find the inflection points of f(x) = (x-2)4/3

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Q: Consider the points A(1,-1, 4), B(2, –3, 2), C(-1,-2, 2), and D(4,3, -6). (a) Find the volume of the...

A: Let's find. 

Q: - Part 1 Solve the followng system of linear equations Sy + 6y + 15 + 8ly + 213a 13 13 16 - 15 207 W...

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Q: Find the point on the plane x – 2y + 3z = 6 that is closest to the point (0,1,1).

A: First we find out normal vector to the given plane than find out the point that is closed to the giv...

Q: Let a = ci + jand b = 4i + 3j. Find c so that the angle between a and b is=. Round your answers to f...

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region b...

A: Topic = volume

Q: Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bou...

A:

Q: Use the chain rule to find the derivative of f(x)= 5e^-9x^3-6^x^7

A: Given query is to find the derivative of the expression  

Q: (A v B) -> "C CvD

A: If A and B are statement variables , the disjunction of A and B is A v B , which is read " A or B "....

Q: 2. Fill in the blanks Let y be a solution of the differential equation y' = , where – 1 < x < 1, –1<...

A: ∫1a2-x2 dx = 12aln1+x1-x+C

Q: Find the particular solution that satisfies the differential equation and the initial condition. f"(...

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Q: Use the disk or the shell method to find the volume of the solid generated by revolving the region b...

A: Explained below 

Q: Q3)A/ Find the cquations of all lines having slope-1 that are tangent to the curve y = 03)B/ Find th...

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Q: Find the vector component of v = (4, – 1, 7) along b = (4, 8, –8) and the vector component of v orth...

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Q: the equatic OI the to the grapi of point (1,0).

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Q: dz az %3D Jsing separation of variables method, solve "+ = (x+ y)z ду

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Q: Find the area of the triangle with vertices P(1,5, -3), Q(0,0,0) and R(3, 4, 1). | NOTE: Enter the e...

A: given vetrices P(1,5,-3), Q(0,0,0) and R(3,4,1)

Q: a. A x, y =x b. As x2,y- C. As x, y=x²+ 3x →. d. As x , y=-3x

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide ...

Q: Find the centroid of the region bounded by the curves: x = 2y – y? and the y-axis A = sq. units; Cen...

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Q: Use the rules of differentiation to find the derivative of the function. g(t) = g'(t) =

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Q: A model for the velocity v of a skydiver is 4 = 9 – v². Then the value lim v(t) is__ 1 Enter the cor...

A: The given differential equation can be solved by using the variable separable method.

Q: Assume that the rate at which a cup of coffee cools to room temperature is proportional to the diffe...

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Q: years is approximated by dh/dt = 1.7t + 5, where t is the time in years and h is the height in centi...

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Q: Solve (cosxcosy-cotx)dx-sinxsin?ydy=D0. O sinxcosy=In(ccosx) sinxcosy=-In(ccosx) sinxcosy=In(csinx) ...

A: Let's find. 

Q: 8051 micaOca

A: answer of given question is in step 2

Q: Find the maximum and minimum values of f(x,y)=xy on the ellipse  4x^2+y^2=6

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Q: Find the area of the triangle with vertices P(1, 3,-6), Q(0,0, 0) and R(2, 4, 1). NOTE: Enter the ex...

A: P(1,3,-6), Q(0,0,0) , R(2,4,1)PQ= Q-P = (0-1,0-3,0+6) = (-1,-3,6)PQ= (-1,-3,6)PR= R-P=(2-1,4-3,1+6) ...

Q: Use the rules of differentiation to find the derivative of the function. h(x) = 6/x + 9Vã %3D h'(x) ...

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Q: Find the area of the triangle with vertices P(1, 6, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the ex...

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Q: 2n + 2 E(-1)n+1. Vn3 +n² + n n=1

A: The given series is: ∑n=1+∞(-1)n+12n+2n3+n2+n which is an alternating series. Let, the absolute seri...

Q: Find the area of the region bounded above by y = x + 1 and below by y = x3 + 1. AY 2.5 1.5- 0.5 0,5 ...

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Q: determind the derivative of a function Let f(x) = In (x^2+16x+73) f'(x)=

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 6j as a...

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Q: 2. Let 2 2 A = 1 -3 1 -3 a. Compute eA using the definition of the matrix exponential. b. What is th...

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Q: A tour boat used for river excursions can travel 10 mph in calm water. The amount of time it takes t...

A: A tour boat used for river excursions can travel 10 mph in calm water. The amount of time it takes t...

Q: A street light is at the top of a 18 ft pole. A 5 ft tall girl walks along a straight path away from...

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Q: Find the derivative of the function by the limit process. f(x) = x3 - 9x + 1 f'(x)

A: We know,f'(x) = limh→0 f(x+h) - f(x)h  by limit processHere,f(x) = x3 - 9x + 1So,f(x+h) = (x+h)3 - 9...