1. Evaluate: a. -1 b. -2 sin³ x lim x-0 sin x-tan x C. 0 d. 1

Q: Find the domain of the vector functions, r(t), listed below. You may use "-INF" for -∞o and use…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for…

A: Compound interest formula A = P( 1 + rn100 )nt A = amount after time t P = principal amount r = rate…

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Q: Use Ay f'(x)Ax to find a decimal approximation of the radical expression. √84 What is the value…

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Q: An automobile company is running a new television commercial in five cities with approximately the…

A: Given

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Q: A manufacturer of downhill and cross-country skis reports that manufacturing time is 1 hours and 4…

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Q: In the figure, a small block of mass m = 0.044 kg can slide along the frictionless loop-the-loop,…

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Q: (c) Now find the exact values of a and b that satisfy the conditions in part (a).

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Q: Solve the equation on explicitly for y adn differentiate to get y' in terms of x. 5/x - 1/y =3

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Q: A 17 foot ladder is leaning against a wall as shown. h ladder 0 (a) Express h in terms of 0. h(0) =…

A: Given that the length of the ladder is:  17 foot

Q: The hypotenuse of a right triangle has one end at the origin and one end on the curve y(x) = x2e-4x,…

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Q: 5) Evaluate the sum 101 1 143) (i+1 i +3,

A: as per company guidelines we can solve only first question when multiplie question being posted

Q: D. What is the stick's average acceleration from 12:00 PM to 12:40 PM? Use calculus to support your…

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Q: Topic: Differential Equations A tank contains 80 gallons of brine with 5kg of salt. Another brine…

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Q: The cross-section of a tunnel is a rectangle of height h surmounted by a semicircular roof section…

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Q: 2. If side BC of AABC is trisected by points P and Q, prove that ABAC = AP + AQ

A: Consider the triangle

Q: Of all rectangles with a perimeter of 30, which one has the maximum area? (Give the dimensions.) The…

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Q: 3. Find AxB 4. Find BxA 5. Find CXA 6. Find AxC 7. Find the determinant of B.

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Q: 6. Mr. Chao's students measured the length of different markers in inches. The data collected is…

A: Title - Length of different Markers

Q: Consider the line which passes through the point P(5,-4, 2), and which is parallel to the line x = 1…

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Q: S²2 Sex+257 ² cos(3y² – 1³) dydx 2

A: The given integral is:∫-22∫x+22x+2 cos3y2-y3 dy dx

Q: 1. S dx 2 3x +12x+15

A: Formula to be used I=∫1x2+a2dx=1atan-1xa+c

Q: 18.1 Let f(x, y) = xe &- yet². +२ 69x a Find the equation for the tangent plane to the graph of fat…

A: (a) To find the equation for the tangent plane to the graph of f at (1,2), we need to find the…

Q: Definition: The AREA A of the region S that lies under the graph of the continuous function f is the…

A: The solution is shown below- As per company guidelines only one question is allowed to answer at…

Q: Sketch a graph of a function f with the following properties. f' 0, for x 0, for -50 and f''>0, for…

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Q: 1. The diagram shown AFB and BEC are equilateral triangles and AGDC is a rectangle. Write the…

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Q: Find the first and second derivatives of the function. g'(u) = g"(u) = g(u) = u(4u – 7)³ 1

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Q: A rectangular swimming pool is to be built with an area of 3200 square feet. The owner wants 5-foot…

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Q: Let f(x) = 2x². a) Find the linearization L(x) of f at a = 4. b) Use the linearization to…

A: Let fx=2x2 (a) To find the linearization Lx of f at a=4. (b) By using linearization to approximate…

Q: Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and…

A: NOTE: Refresh your page if you can't see any equations. . x=number of quarts of creamy vanilla…

Q: Suppose that f(x) = 3x√/2x² + 1

A: Given, f(x)= 3x2x2+1 Using chain rule , we will find derivative of f(x) Therefore, f'(x)= 32x2+1+…

Q: Obtain the particular solution satisfying the initial conditions indicated. 1. ³ (3x²y − x²)dx + ex³…

A: The given differential equation:ex33x2y-x2dx+ex3dy=0

Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

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Q: K Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

A: △C=C(x+∆x)-C(x)△C=C(90+1)-C(90)△C=C(91)-C(90)   for x = 90 for x = 91 △C=C(91)-C(90)=167.41 -…

Q: 2) Find the solution of the system, by hand, without using a matrix, or show that it is…

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Q: ver Find the slope of the tangent to the curve f(x) = X- - () at x = 0.

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Q: (12x-4)dx (3x+1)³(2x-2) 3

A: We have to find out the integration.

Q: Ten and one-half foot-pounds of work is required to compress a spring 2 inches from its natural…

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Q: A rectangular storage container without a lid is to have a volume of 10 m³. The length of its base…

A: Given volume ( v ) = 10m3 let length = l width = w height = h

Q: 3. For f(x) = x³ - 5x² - 8x + 4,find the followings.

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Q: 2 dx evaluate the improper integral

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Q: S (3-3sin2x)dx sec2x(cosx−sinx)

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Q: f(x) = x³ -1.5 x² Use graphing calculator, fine the interval the function is decreasin (1,2) (0,1)…

A: Solution: The objective is to find the interval the function is decreasing using graphing calculator

Q: Consider the line 7 = 67 +37 +1 (47 + 7 + 3k) and the plane x + y + z = 1. X Incorrect. (a) Where…

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Q: Compute the product. 9 II 1=4 i(i + 2) (i-1). (i+1) X

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Q: We want to construct a container in the shape of a cylinder. The container will have a bottom but no…

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Q: Using the equation y= x^3/ x^2 - 4 Determination of critical numbers for the first derivative test…

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Q: Find the solution to the boundary value problem: The solution is d²y dt² dy +65y = 0, y(0) = 4,…

A: Given differential equation d2ydt2 - 8dydt + 65y = 0

Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by…

A: given  s(t)=-t3+11t2+23t       (0≤t≤6)we know d dt(tn)=ntn-1ddt(constant)=0