tim x →1 x 3x+2

Q: Use polar coordinates below the paraboloid the xy-plane. to find the volume of the solid z = 18 -…

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Q: Graphs of f(x) = 5x and g(x) = 5√ intersect at the points (0,0) and (1,5). The region between those…

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Q: q is the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit,…

A: Given query is to find marginal profit function and marginal profit

Q: Solve the corresponding differential equation given the general solution via elimination of…

A: To form differential equation

Q: Find the limit. use I'Hospital's Role 3 ln(x²) (d) lim x-1 x² - 1

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Q: Find the derivative of y = √√4x³ – 7. dy √12x² dx dy dx dy dx dy dx = = = = ²1 (4x²³ - 7) + 3x²…

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Q: Remember when answering True/False questions that you should only answer "True" if the statement is…

A: A non-empty subset W  of a vector space V(F) is a subspace of V if and only if au+bv ∈ W for a,b…

Q: The following problems involve f(x) = 3x¹ − 8x³ - 66x² + 144x + 400 1. Find the relative extrema of…

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Q: where c = m = 8 6 -3 4 2 -4 -6- -8- -10- The net signed area in the above graph can be written as…

A: See below the answer and explanation

Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

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Q: Find an equation of the plane with point P (2, -1, 3) and containing the line L: x-3 y+4 z-5 -6 10 =…

A: General equation of a plane passing through P(a,b,c) is, P(x-a)+Q(y-b)+R(z-c)=0....(i) Where P,Q,R…

Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p=…

A: Note:- these are multiple sub parts according to rule we can do max 3 sub parts so i am solving here…

Q: Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid in the…

A: See this solution in below.

Q: What is the derivative of h(t) = 5/t + 6/t^2?

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Q: 1) Evaluate ]] where D = {(x,y) | y≤x≤1, 0≤y≤1} and [ dy fe²de dx Also explain why they're the same.…

A: Please see the below picture for detailed solution.

Q: a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard…

A: a) Given:     The dimension of the cardboard is given as:      Length=41 ft      Width=22 ft Assume…

Q: Activity 1: Pictures Analysis (eliciting prior knowledge, Motivation, Hook) Observe the pictures…

A: 1. The given diagrams show the following applications of the functions: Continuity of functions,…

Q: A marketing team is going to buy promotional coffee mugs as giveaways. The manufacturing company…

A: Given query is to find average cost.

Q: Solve the corresponding differential equation given the general solution via elimination of…

A: We can find the differential equation of the given curve by eliminating the arbitrary constant a.

Q: For problems 3-5 A math camp wants to hire counselors and aides to fill its staffing needs at…

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Q: Find the values of A and B such that the graph of the exponential function f(t) = AeBt goes through…

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Q: Find the derivative using the chain rule of the following: 4 f(x) = (1+x4_. NO NEED TO TYPE IN YOUR…

A: Topic - Derivative of a function We are given, f(x)=1+x4-1x53formulas used:chain…

Q: PS #1 9. A ladder 10 ft long rests against a vertical wall. Let 0: angle between the top of the…

A: A ladder 10 ft long rests against a vertical wall.Let θ: angle between the top of the ladder and the…

Q: Let S be the solid in the first octant situated between the planes 40x + 40y + z = 40 and 8x + 8y +z…

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Q: 2. A thermometer reading 18°F is brought into a room, the temperature of which is 70°F. One minute…

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Q: Write the expression log563 using log53 and log57 EXPAND

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Q: Given the function f(x) = -x^6 - x^2 + 10x + 6, find the equation of the tangent line at the point…

A: See this solution in below.

Q: Find the symmetric equations of the line that passes through points P (-2, 1, -3) and Q (-1,-4, 3).

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Q: To find the length of the curve defined by from the point (-3,210) to the point (3,276), you'd have…

A: Please see the below picture for detailed solution.

Q: Evaluate the following limits or indicate that they diverg lim →∞ e¹

A: Given query is to find the limit of the expression.

Q: 100 [ k 7k+9 k

A: We  apply here root test

Q: Find the derivative of y=x√x + 1. 1 dy = 2(x+1) ³ + √² ž √x+1 dy dx = dy dx dy √x+1+ dx = x √x+1 = =…

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Q: PS 45 20. A large, juicy grapefruit is cut in half. The diameter of the grapefruit (not including…

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Q: The linear density p in a rod 5 m long is Pave = 11 x + 4 Find the average density Pave (in kg/m) of…

A: The linear density of a 5 meter road is given by: ρ=11x+4 kg/m

Q: . Use the rule of differentiation of the scalar product, to evaluate (u v) for the following vector…

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Q: Find the divergence of the vector field F. F(x, y, z) = In(7x²+ 8y²)i + 56xyj + In(8y² + 3z²)k F(x,…

A: In three-dimensional Cartesian coordinates, the divergence of a continuously differentiable vector…

Q: 2. Solve the following integral [(secx a. tanx + secx + C O b. secx - tanx + C O c. tanx - secx + C…

A: formula used  ∫sec2x dx=tanx +c∫sec(x)tan(x)dx=sec(x)+c

Q: Sketch the graph of the function below, including correct signs, x-intercepts a intercepts. f(x) =…

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Q: Consider a function f given by a graph 2 y . 0 • bis [Select] 1 2 ·N Then, the second order Taylor…

A: Graph of the function is given we have to find the second order Taylor polynomial about x=2.

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: A Differential Equation of the form dydx+h(x)y=g(x)yn is called a Bernoulli differential equation in…

Q: Find the centroid (x, y) of the region that is contained in the right-half plane {(x, y) | x ≥ 0},…

A: As we know the expression for the centroid. x¯=1A∬xdydx and y¯=1A∬ydydx Where Area=A=∬dydx   From…

Q: L'Hôpital's Rule does not help with the following limit. The expression keeps on cycling. Find the…

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Q: A manufacturer estimates that its product can be produced at a total cost of  C(x) = 55,000 + 100x…

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

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Q: Apple music subscription fees for $10 a year. After paying a subscription you purchase 4 items your…

A: To describe a linear function which relates the cost with no. of songs purchased.

Q: Solve for the particular solution of the given IVP: Oy=In(3/(2+e^(-x^2))) Oy=In((2+e^(-x^2))/3)…

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Q: Evaluate the double integral 1₂ c where D is the disc with center the origin and radius 8, by…

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Q: Verify Green's Theorem by evaluating both integrals √ y² dx + x² dy = √ √ (ON-OM). dA ay for the…

A: Concept: Integration  ∫xndx=xn+1n+1+C.....(where C is constant) Green's Theorem: Let D be the area…

Q: A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material…

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Q: Find the limit. use I'Hospital's Role cos(2t) - 1 t-T (c) lim t

A: Given query is to find the limit of the expression.