1. Solve for x. 5 4 2x + ²/2 = 7 - x. 9 3

Q: q12.14. Say you know that a sphere has its middle point located at (0,0,0) and has a radius of 2…

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Q: For the function shown in the graph, give the interval(s) where the rate of change of f(x) with…

A: For the function shown  in the graph, to give the interval(s) where the  rate of change of  with…

Q: Suppose 3x² + 4x + xy = 3 and y(3) = = y'(3) = -12. Find:

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Q: Find the Volume V(S) of the solid S generated by given R: R is the region bounded by y=6-x² and…

A: To find the volume  of the solid S generated by given R: R is the region bounded by  and  and it is…

Q: 4. Show that 2y"-y'-y=0 when y=e* + e.

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Q: 13. The plane passes through D(2, 5, -4) with normal n = (2, —1, 3). Determine the Scalar Form of…

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Q: Find and sketch the domain of the function: f(x, y) = 25-x² - y² In(xy)

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Q: dQ Let Q(t) denote the population of a certain country at time t. In 1970, the population was 2.5…

A: The first situation is represented as, (where growth factor=1.018 and growth factor=1+r, here r is…

Q: What is the unit tangent vector T(t) for the vector-valued function r(t)=⟨t,1/t⟩?

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Q: Calculate the area between the curves y=√x, y=2√x and y=x line.

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Q: Convert the rectangular coordinates of each point to polar coordinates. Use degrees for 0. 5. (√3,3)…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Let f(x) = 11x³ over the interval 0 ≤ x ≤ 1. Set up the integral for the surface area generated by…

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

Q: Let f(x, y) = 125-3x²-2y2² Evaluate f(0, 3)

A: f(x,y)=sqrt(125-3x2-2y2)Find f(0,3)

Q: If R is the region between the graphs of the functions f(x) = 4x³ + 9x² + 7x-3 and g(x) = 5x³ + 2x²…

A: Two function are given÷f(x) = 4x3+9x2+7x-3g(x) = 5x3+2x2+17x-3We need to find the area between the…

Q: Solve the following autonomous differential equation with the given initial condition. X = dx dt…

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Q: The per capita growth rate of a population of cells varies over the course of a day. Assume that…

A: The per capita growth of a population of cells varies over the course of a day. Assume that time  is…

Q: State the domain for the function f(x) = log6(-x + 5) + 4: O (-00, 5) (-5,00) O (-∞0,00) O (-00,-5)

A: f(x)=log6(-x+5)+4Find the domain.

Q: Suppose that f(2)=-4, g(2) = 3, f'(2) = -1, and g'(2) = 5. Find h'(2). (a) h(x) = 3f(x) 2g(x) h'(2)…

A: Given that  and .To find the derivative value of .Derivative formula:

Q: Which of the following is a valid formula for the instantaneous rate of change of the function f(x)…

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Q: qual length, and let c₁ = 0.5, c₂ = 1.4, and c3 = 2.5.

A: Formula for the Left Riemann sum is where

Q: 7. The function f(x): the derivative (ne of the tangent line to the graph at z = 1. = is graphed…

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Q: Differentiate. Why y = x2 + 2x - 2 x2 - 2x + 2

A: To differentiate the following function.

Q: 6. Find the limit or explain why it does not exist (and if it is too). √16x4+7x 8x² +5 (i) lim 818

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Q: 10. The position of an object moving in a straight line is given by: S(t) = -2t³ + 5t² - 10t +20 (S…

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Q: Plane through points A(2, 4, -1), B(3, 0, 2), and C(-1, -2, 5). A B Does = [1,2,-2] lie on the…

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Q: Considering the definition of f(x) below, find lim f(x). x-5+ (If the limit does not exist, enter…

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Q: Consider the following integral. Sketch its region of integration in the xy-plane. (a) Which graph…

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Q: Find equations for the tangent plane and the normal line at point Po (Xo Yo-Zo) (2,3,0) on the…

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Q: Find the Jacobian of the transformation a -3u+7v, yu²+ 4v

A: To find the Jacobin of the following transformation.

Q: It is theorized that a particular culture of bacteria increases according to the model P(t) =…

A: Given

Q: Consider the region, R, bounded above by x = -√√25-y +2 and x = y +7 and bounded below by the…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: Calculate the arc length of y = 3x + 1 as a varies from 0 to 4. S =

A: Given that ,Calculate the arc length.

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 3y² — x² + 4 and above…

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Q: The population of rabbits in a controlled system can be described by P(x) = x² + 18x + 19, where x…

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Q: Find the inflection point given the function F(x) = f e-t² dt. No graphs.

A: Given function: To find : Inflection point of F(x)

Q: 17. A cylindrical tank with radius 5m is, at this moment, being filled with water at a rate of 3…

A: Volume of the cylinder is given as follows Where r is the radius h is the height v is the volume

Q: Suppose the rate at which the volume in a tank decreases is proportional to the square root of the…

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Q: 19. F(x, y, z) = yî + xyz ĵ – 2zx k, where S is the upward-facing paraboloid z = x² + y² lying in…

A: 19) Where, S is the upward-facing paraboloid  lying in cylinder From above curves the radius of the…

Q: 2x Find the derivative of Y = e²ª sin¯¹(x) + ln(x) y

A: y=e2xsin-1x + ln(x)Find the derivative of the given function.

Q: Factor the following expression by grouping.   x3−2x2+3x−6

A: let

Q: Which option states a correct formulation of the epsilon-delta definition of the limit lim (3x² - 4)…

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Q: Determine the value(s) of x for which f(x) = -3x² - 5x20 has a horizontal tangent line. If there is…

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Q: 2 Use direct Substitution to obtain an undefined expre ther use the method of to simplify &…

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Q: (A) Find the average value of the function over the indicated interval. (B) Graph the function and…

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Q: Given f(x) = 2x² + 1 and g(x) = 4x - = 4x - 6, find the following. (a) f(g(2)) (b) f(g(x)) (c)…

A: Given functions are,Under guidelines we are suppose to answer only 1 or 3 sub parts.

Q: find the area of a triangle using herons formula. the triangle has lengths of 610.02, 1022.5,…

A: given triangle lengths 610.02, 1022.5, 538.54

Q: 4. x-6 3 a) Determine the point of intersection of the two lines. b) Determine the acute angle…

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Q: First make a substitution and then use Answer: integration by parts to evaluate the integral [2 sit…

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Q: Find the linearization L(x,y,z) of the function f(x,y,z)=√x² + y² +z at the points (5,0,0), (5,3,0),…

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