the two-dimensional object. An oversized hockey puc = g _52+6. 495 2

Q: An Internet bookstore charges $20 shipping for orders under $100 but provides free shipping for…

A: C(x) = x + 20 if x < 100         =  x   if  x ≥ 100

Q: Find the area of the triangle whose vertices are given below. A(-6,6) B(3,-2) C(11,-2) The area of…

A: Given: Triangle points:-  A(-6,6) B(3-2) C(11,-2)

Q: f(x, y) = e cos(ly). Find and classify all critical points of the function. If there are more blanks…

A:

Q: 1. Consider the following vectors a= [1, 3, 2] & b = [-2, 2, 1] a. Draw each vector on a grid b.…

A: a→=1,3,2 ,b→=-2,2,1

Q: 4. Check to see if the equation is exact. If so, Solve and check: {Exact} (2e²x + 2xy) dx + (x² −…

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Q: Solve 4x cos(3x) dx using Integration by Parts. 4x 3 + sin 3x + 4 cos 3x + c

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Q: graph to the left (in black) gives f(x), while the graph to the right gives g(x) (which is constant…

A: ddxfgxx=30

Q: Cheap Chips Corp. has determined that the profit, in dollars, derived from the production and sales…

A:

Q: Consider the following. dz Find by using the chain rule. (Enter your answer in terms of t.) dt dz dt…

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Q: Suppose that lim an = 5 and lim bn = 9. n-0 n→∞ Determine the limits. lim (an + bn) = n→∞o lim a =…

A: We are given that limn→∞an=5 and limn→∞bn=9.We need to find the given limits.

Q: 1. Determine the derivative of the following exponential functions 2x² a. f(x)= e b. f(x)=…

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Q: The equation below follows from the integration by parts formula by replacing u by f(x) and v by a…

A: given ∫f(x)exdx=f(x)ex-∫exf'(x)dx

Q: consider the region bounded by the parabolas: y=x² + 4x + 3 and Find y = - x² + 2x + 3 the area of…

A: The region bounded by the parabolasy=x2+4x+3 and y=-x2+2x+3

Q: Consider the two functions f,g: [−1,5] → R, whose graphs are given below. 4 y = f(x) y = g(x) 3 3 2…

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Q: 7. Sketch the region and then use the disk/washer method to set up an integral to find the volume of…

A: To sketch the region and then by using the disk/washer method to set up an integral  to find the…

Q: 10Let C be the curve defined by the parametric equations x = t^3 - 3t + 2 and y = 3t^2 -9. a.…

A: As per guidelines we support only Frist three part of the questions.kindly repost in next request.

Q: Solve the given equation 3e*+2 = 75

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Q: Suppose that R is the finite region bounded by y = x, y=x+2, x=0, and x = 4. Find the exact value of…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A: Given: A solid is formed by revolving the region bounded on right by the graph of gy=7y and on the…

Q: Use integration by parts to find the integral. (Use C for the constant of integration.) [x²1 x…

A: I=∫xnlnaxdxusing integration by parts, taking u=lnax  and…

Q: 1. Which of the following is NOT true about how f(x) = sin³¹(−4(x+6)) + 8 compares with its parent…

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Q: Verify that the indicated function y = (x) is an explicit solution of the given first-order…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given graph about the…

A: We have, y=x2 , y= 2x, about the line x= -1

Q: The demand function for device model VRS738 is given by p(x) = 520 0.65x", where p is the unit price…

A:

Q: əz Use the chain rule to find and as əz əs əz at = = əz at z = In(4x + 3y), x = s sin(t), y = t…

A: z=ln4x+3y ,x=s sint ,y=t coss

Q: 14x^2-13x-12 using box method

A:

Q: a) A graph of f(x) is shown above. Using the geometry of the graph, evaluate the definite integrals.…

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Q: Differentiate the following function. Do not simplify f(x)= √sin (cosx)

A: fx=sin2cosx

Q: The equation of the line that goes through the point (3, 8) and is parallel to the line 2x + 5y = 3…

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Q: For the angle 0, find the following. (a) tan (0) (b) cot(0) (c) sec(0) (d) csc(0) 37 (-12,-35) y 0

A: Figure

Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t - u, y = stu²…

A: z=x4+x2y, x=s+2t-u, y=stu2 given s=1, t=3, u=5

Q: =x²-2x-3 and the x-axis from x=1 to x=5?

A:

Q: 1. What number exceeds its square by the maximum amount?

A: As you posted multiple questions  I need to solve only first question.  Both questions are…

Q: The equation of the line that goes through (3, 2) and (-7, 10) can be written in the form y = mx +…

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Q: Evaluate the following integral S 4x cos (5x) dx=

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Q: Given the function f(x) = 18x + 3, determine the intervals where increasing and decreasing, and the…

A: The function  fx=-2x3-12x2-18x+3⇒f'x=-6x2-24x-18=-6x2+4x+3=-6x+3x+1⇒f''x=-12x-24=-12x+2

Q: 3. Compute the area bounded by the three leaf rose curve given by r(0)=5sin30. Compute the area…

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Q: an n In n en (domain n ≥ 1)

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Q: Jhy Find following limits if they exist. Enter DNE if the limit does not exist. g(x) a h(x) g(x) 4.…

A: Note : As per our Guidelines , we can solve first three subparts . Please repost remaining parts.

Q: Calculate the linear combination. 5(i +2j) - 3(2j+ k) + 7(2k − i) = (x, y, z) (Give your answers as…

A: To calculate the following linear combination. 5i+2j-32j+k+72k-i=x, y, z where,  x=?y=?z=?

Q: 5. Use the Limits at Infinity Theorem and limit laws to evaluate lim f(z) where 818 16-² f(x)=…

A: fx=16-x26x2-5x+4

Q: A bucket is filled with sand so that the total mass (sand and bucket) is 20 kgs. The bucket is to be…

A:

Q: A meteor follows a trajectory r(t) = (8,6,5) +t(7,6, -2) km with t in seconds, near the surface of…

A: A meteor follows a trajectory rt=8,6,5+t7,6,-2

Q: 12. Sketch the region bounded by y = √4-x2 and y = -√4-x² for-2 ≤ x ≤ 2. Give a definite integral…

A: We have to sketch the region bounded by…

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A: By using the Shell Method to find the volume of the solid obtained by rotating the region above the…

Q: Find the volume of a parallelepiped if four of its eight vertices are A(0,0,0), B(3,1,0), C(0,…

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Q: Find the accumulated present value of an investment over a 7 year period if there is a continuous…

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Q: Verify that the indicated function is an explicit solution of t y" - 4y' + 20y = 0; y = e²x cos 4x…

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Q: Simplify the following numbers and write them in standard form: a. (4√-16+2 (150) -2(-4+3 (205)

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

Q: Use a calculator to find the acute angle between the planes given below x+2y + 2z = 8, x-y-3z=5 The…

A: x+2y+2z=8x-y-3z=5