Sketch a graph of x = -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 -4 -5 - 2t2, y = t - 1. 1 2 3 est 4 5

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: [Gradient Vectors] Let f(x, y, z) = x^3z − yz2 . (a) If we start at the point (1, 3, 2), then in…

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Q: Find the average value of the function f(x)=x²-7 on [0,6]. The average value of the function…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = √16 - x² dy =

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Q: Use the ratio test to find the radius of convergence of the power series 4!x² (21) ² 1+ 2x + + 6!23…

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Q: Assume that f is a one-to-one function. (a) If f(1) = 17, find f¯¹(17). (b) If f¹(2) = 9, find f(9).

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Q: Using the production and geological data,the management of an oil company estimates that oil will be…

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Q: 23. Determine what kind of conic is represented by the equation - 3 1-3sine

A: we need to find the type of conic represented by the given equation.

Q: Find the critical point and the interval on which the given function is increasing or decreasing,…

A: dxndx=nxn-1f(x)=5x2+4for critical points put f'(x)=0

Q: Find g'(x) if g (x) = 5√x tan x. 5(2 cot x+tan x) 2√x 5 tan x(2x sec x+1) 2√x 5(x sec² x+2 tan x)…

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Q: (c) [*e*dz = e² dr (d) [₁ 2³ d dr

A: Let's solve given integral.

Q: 12. Evaluate the line integral rey ds where C is the line segment from (2,0) to (5.4)

A: We have to evaluate the given line integral.

Q: 5. Let A, C 0 and A# C. Solve for x A(x + B) = -C(x - D) +2

A: The given equation, Ax+B=-Cx-D+2, A,C≠0 and A≠C. We have to solve this expression for x.

Q: Approximate [²3x + 2 dx using each of the following Riemann sums with 3 subintervals of equal…

A: Approximate

Q: Compute the average value of f(x) Average value = = 1 4x + 3 on the interval [5,9].

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Q: Ņ f the following statements is true? -2 0 --1- --2- t of inflection is at (5, 1). bsolute and…

A: Given query is is to find the correct option.

Q: (√a +2√b)(√a-2√√6).

A: we know that  (a+b)(a-b)=a2-b2

Q: 40. Toys Belkis is pulling a toy by exerting a force of 1.5 newtons on a string attached to the toy.…

A: Let a force F is applied to an object with an angle x° to the floor. Then horizontal component of…

Q: Find limt →0 1 t+2 2 t

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Q: (Click on the graph for a larger version.) A. f3 f(x) dx = B. If the vertical red shaded area in the…

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Q: Alarger household produces more garbage, on average, than a smaller household. If we know the amount…

A: We use system of linear equations to solve the given problem.

Q: Let a≠ (doesn't equal) 0. Solve for x                  ax+b=c

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Q: 2y y² dxdy Evaluate SS2¹ 4y²+x² O π/12 O π/16 O π/2 O π/6

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Q: Differentiate implicitly to find y²-x³ = 22; (3,-7) Then find the slope of the curve at the given…

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Q: ← Find the future value P of the amount Po invested for time period t at interest rate k, compounded…

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Q: x A20x + A²1 A20 - + 10 = 11+ A.

A: Given query is to solve for x.

Q: Question 3. Find the orthogonal trajectories of the family of curves y x+k

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Q: 3. Find the volume of the parallelepiped determined by the vectors ū₁ = (1,1,1), ū₂ = (1,3,-4), z =…

A: We need to find volume.

Q: A cylindrical package to be sent by a postal service can have a maximum combined length and girth…

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Q: Follow the hint and solve the system.   log(x) + log(y)  =  3 2  2 log(x) − log(y)  =  0…

A: Logarithmic equation

Q: nd an equation of the normal line to the function

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Q: Evaluate the surface integral positive (outward) orientation. -18 JSF F. ds for the given vector…

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Q: that 1+2i is a zero of the polynomial f with real coefficients. Which of the following statements is…

A: Given query is to find the incorrect statement.

Q: Find dw ər dw & interms of r&s if w = 2x + 2y + 2z² əs x=y=5r² + In 2s & z = 3r

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Q: Using the binomial theorem to find the 4th term of √x + 2

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Q: The radius of a sphere is measured as 6 centimeters, with a possible error of 0.025 centimeter. (a)…

A: Given the radius of the sphere is 6cm with a possible error of 0.025cm   We are required to finda.…

Q: open interval(s) on which the function is increasing and decreasing. b. Identify the function's…

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Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A: Let's find distance of objects travel from t=0 to t=45.

Q: on v. dr, where C' is the triangle with vertices (5, 0, 0), (0, 0, 5), and (0, 4, 0), traversed in…

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Q: 35. The magnitude of m is 29.2 meters, and the magnitude of n is 35.2 meters. If m and are…

A: We have to calculate the magnitude of sum m and n

Q: S.S. X x Arcsin y 4 yª dydx

A: Reverse order

Q: i = (-1,-1, 7) + t (4, −8, 2), -∞ < t < ∞o.

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Q: Find the exact slope of the tangent line to the 5 cos(t) 2 sin(t) parametric curve t co/= 3 X { y =…

A: slope is  dydxdydx=dydtdxdtdsintdt=costdcostdt=-sint

Q: -3t Express x = e ³t y = 2e2t in the form y = f(x) by eliminating the parameter. : y = ||

A: Given x=e-3t and y=2e2t

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

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Q: Find a) any critical values and b) any relative extrema. f(x)=x²-6x+5

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Q: Evaluate. Be sure to check by differentiating. f. X 10 10 +9 +9 f. dx=0 (Type an exact answer. Use…

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Q: Find the equation of the line tangent to y = -3x² + 3x + 2 at x = -1. Oy=9x−1 y=-62-5 Oy=9z+5 y =…

A: given y=-3x2+3x+2 at x=-1standard form is  y=mx+cwhere m is slope of line m=dydxdxndx=nxn-1

Q: Sketch a graph of a = 1 + cos(t), y = 2 + sin(t), 0 < t < 27 . -5 -4 -3 -2 -1 Clear All Draw: 6. 4-…

A: Please see the below picture for detailed solution.

Q: 21. What's the standard form equation of a parabola with directrix x= -10 and focus (10, 0)?

A: