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Q: For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum…

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Q: An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the…

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Q: Condense log(x-1)+log(x+2)=1

A: Solution:

Q: At noon, ship A is 180 km west of ship B. Ship A is sailing south at 20 km/h and ship B is sailing…

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Q: Using the mathematical expression of the definition of the derivative, as you learned find the…

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Q: Find the centroid of the region lying between the graphs of the functions yet and y | ICM усм 1 over…

A: Please see the below picture for detailed solution.

Q: Select each expression that has a sum of 4 4/12 3 1/5 + 1 3/7 1 11/12 + 2 1/4 1 3/6 + 1 1/2 + 1…

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Q: ← → CO Exit 2-1: Assignment October 26, 2022…

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Q: As shown in the required reading or videos, let a, b, de R³ prove that ax(xế) = b (a - đã b)

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Q: Find the general solution of the following differential equations:- 1) x² (y² + 1)dx + y√x³ + 1 dy =…

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Q: For y = tan -1 (*² + 4) 7 dy find dx and simplify.

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Q: A peach grower finds that if he plants 70 trees per acre, each tree will yield 80 bushels of…

A: Let x be the number of trees.

Q: Let f(x) = x³ + 6x² − 96x + 19. (a) Use the definition of a derivative or the derivative rules to…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find the derivative of the function y = -7-5x. dx =

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Q: Set up, but do not evaluate, an integral for the length of the curve. ST 2 x = 4 sin(y), Osys (C dy

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Q: 2. Solve the following integral S (secx - tan x) secx dx O a. tanx + secx + C O b. secx - tanx + C O…

A: The given integral is (secx-tanx)secx.

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: nd the arc length along a circle of radius 14 units subtended by an angle of 160°. Round your answer…

A: Given query is to find the arc length.

Q: Find parametric equations of the line through (−2, 1, 3) that is parallel to 3i - 7j+k. x(t) = 5 t -…

A: Given query is to find the equation of the line.

Q: Order One DE Solve the ff. DE Eqn. 4x 1. xy² - 2y = x cos 3

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: 2) f(x) = sin−¹(x + 1) + ½/ Table: y = sin ¹x Transformations: D: R: X

A: y= Sin-1x

Q: Then determine the x-coordinates of all relative maxima (minima). 1.  F is increasing on the…

A: Given: fx=4x+8x To find: Intervals on which function is increasing or decreasing, point of relative…

Q: 4. Find an equation of tangent line at the point (-1, 1) to the curve x¹y² + 1 = x² + y³. 5. The…

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Q: log3x=log3(x2-2)

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Q: A. Find the orthogonal trajectory for the family of straight lines passing through the point (1,1).…

A: Concept: We differentiate the given family of curves with respect to x on both sides and get the…

Q: Evaluate the given integral by changing to polar coordinates. J (4x - y) dA, where R is the region…

A: Use double integral concept

Q: 3 B. C. provide D. The Line A. -42-5 A. (-10,-10) B. (-5,0) C. (0, -5) D. (-5.-5) x²- Find the 202-6…

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Q: In Exercises 17 – 18, sketch the ellipse defined by the given equation. Label the center, foci and…

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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: If f(x) = 7 sin x + 9 cos x, then f'(x) = f'(5) =

A: We can find the 1st derivative and the derivative at the indicated number in the below steps.

Q: Make a sign diagram for the derivative of the rational function. 8 x² + 2x - 3 f(x) = --Select---…

A: The given rational function is  f(x)=8x2+2x-3

Q: 1) Find the linearization L(x) of f(x) at x = a. f(x) = 2x2 + 4x - 1, a =

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

Q: Find the indefinite integral. (Use C for the constant of integration.) √ 25 e2x 25+ e est dx

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Q: 5 The gain of an amplifier is found to be G= 20 log (10V out) The tasks are to find equations for:…

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Q: Find the arc length of y= 2x sqrt(x), from x=0 to x=1

A: Given: y=2xx We need to find the arc length of the above function from x=0 to x=1.

Q: log7 (x + 2) + log7 (x - 4) = 1

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Q: Directions: Circle each function that is an example of exponential decay (there are exactly five of…

A: As per the instruction, we will be answering the first three subparts. For (a), Graph: For (b),…

Q: Let f(x) = Then f'(x) = m = 4 sin x 2 sin x + 6 cos x ㅠ The equation of the tangent line to y = f(x)…

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Q: Find the equation of the tangent line to the curve y = 2 sina at the point (7,1). The equation of…

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Q: = Let the demand function for a product made in Dallas is given by the function D(q) = - 1.7q+260,…

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Q: 16+² x da

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Q: 3. Compute the double integral √² + y²dA where D is the part of D the first quadrant lying between…

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Q: Solve the DE with Linear Coefficients (16x+5y-6)dx + (3x+y-1)dy = 0

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Q: b) A farmer wishes to enclose a rectangular field. Three of sides will be visible from the street,…

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Q: Find three positive numbers x, y, and z that satisfy the given conditions. The sum is 72 and P =…

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Q: Evaluate te F. dr. F(x, y) = xi+yj C: r(t) = (9t+4)ī + tj, Ostsi

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Q: D The region D above can be describe in two ways. 1. If we visualize the region having "top" and…

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Q: Find the derivative of the function. h(t)

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Q: Q5. (Newton's Law of Cooling): The mathematical formulation of Newton's empirical law of…

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Q: Find y" if y = ax³ + bx+c. (a, b, c constant) Answer:

A: To differentiate the given function