Determine if this statement is true or false: If A(x) = f(t)dt then the graph of A 5 crosses the x-axis at 5. O True X O False

Q: Graph the feasible region for the following system of inequalities. Tell whether the region is…

A: red one represents x+4y ≤12   whereas violet one represents 4x+5y≥20   region is UNBOUNDED

Q: Use this definition to find f ′(a) at the given number a. f(x) =    6x + 7,    a = 7

A: Solution: Here  f(x)=6x+7 Derivative w.r.t  x ,we get

Q: A private school has a cost function given by C(x) = 90 + 80√x dollars, where x is the number of…

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Q: Find an equation of the plane. the plane through the points  (4, 1, 4),   (5, −8, 6),  and  (−4, −5,…

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Q: Find the limit limx→-1 (2x4 - 8x + 9)

A: (5)

Q: $19,000 is invested for 3 years at an annual simple interest rate of 19%. (a) How much interest will…

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Q: Use the chain rule to find dz dt = Z = х- у x + 6y dz dt x = ent y = ent

A: Given z = x - yx + 6y x = eπty = e-πt

Q: A solid is obtained by rotating the shaded region about the specified line. about the y-axis V = 5 0…

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Q: Find an equation of the plane. the plane through the point (2, 5, 7) and with normal vector 3i + 6j…

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Q: Determine the domain and range of the function. bo m Part 1 of 2 e L el + -2- + 2 3 41 The domain of…

A: INTRODUCTION A function's domain is the set of all input values for which it is defined, whereas its…

Q: An ornamental light bulb is designed by revolving the graph ofy about thex-axis wherex andy are…

A: I have appended the formula used in the solution part of the question

Q: 4. Use the Method of Lagrange multiplier to find the shortest distance from point (1, 1, 0) to plane…

A: Given :Point 1, 1, 0Plane 3x-2y+z-6=0

Q: The total profit function for a ghost busting business is given by P(x) = -x + 160x490 dollars when…

A: Given: For (a), The total profit earned for busting 75 ghosts will be,…

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: x² 10 - 5 ≤ f(x) ≤ x6-5 x+1 26

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Q: 4. Evaluate the right limit of the following function at t = 2 -2x + 1 x ≤ -2, x + 3 |x| f(x) =…

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Q: 1. For positive numbers a ≤ b, the pulse function is defined as 0, x <a P₁₁b(x) = {1, a≤x<b |0, x ≥b

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

Q: 5 ၊ ၀ 9-

A: Given query is to find the correct graph of the function.

Q: Find the inverse of the given matrix (if it exists) by using the Identity Matrix Determinant…

A: Solving the following problem

Q: the line 5x + 7y - 35 = 0 to vector form. The plane [x, y, z) = [-4, 3, 1] + t[1, -2, 0] + s[-2, 3,…

A: Since we are given with the multiple no.of question and our guideline is solve first question only

Q: Find the indicated partial derivative. f(x, y) = sin(5x + 4y); f yxy fyxy(x, y) =

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Q: Use the equation to find dy dx = dy dx dy dx = 1 ƏF ax ƏF ду Y 4e sin(x) = x + xy

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Q: f(x)= 3x-2/ x+1 find the inverse

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Q: If a ball is thrown straight up into the air with an initial velocity of 40 ft/s, its height in feet…

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Q: te the following: 2x dx x - 4 dx

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Q: Find the cross product a x b. a = t, 8, 1 t b = (t², t², 1) Verify that it is orthogonal to both a…

A: Given: a=t, 8, 1t, b=t2, t2, 1

Q: Consider the following points. (X₁Y₁)= (-5, 7) (x₂1 y ₂) =(4,-5) (a) Find the distance between the…

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Q: P(1, 0, 1), Q(-2, 1, 3), R(6, 2, 5) (a) Find a nonzero vector orthogonal to the plane through the…

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Q: neay aesancocer Find the area bounded by the given curves. y = x4 and y = x² +4

A: Topic - Area between curves We are given curves y=x4  and y=x7

Q: Solve for y: O y = Oy = x = 4ln(y - 8). 1 4 ln(x - 8) x+8 4 O y = e-4x + 8 O y = 4 ln(x - 8) Oy =…

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Q: Use a graph of f or some other method to determine what, if any, value to assign to f(a) to make f…

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Q: Find the trace of the surface 4x^2 − y^2 +6z^2 = 2 in the yz-plane and identify the conic section.

A: Given 4x2-y2+6z2=2

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: Find the area of the sector of a circle with radius 4 centimeters formed by a central angle of π/4…

A: Given query is to find the area of the sector.

Q: order to express the function y=(2t^4−8)^5 as a composition of two functions the outer of which is a…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: write the number 9.8*10^(3) in standard form

A: Given query is to write the number in standard form.

Q: he area of the triangle in the first quadrant formed by the line ax + by = c, the x-axis, and the…

A: Given query is to find the area.

Q: x-intercept(s): (-6,0), (0, 0) y-intercept(s): (0, 0), (0,8)

A: Introduction: There are basically two intercepts, x-intercept and y-intercept. The point where the…

Q: Determine if the sequence {a} converges or diverges. Find the limit if the sequence converges. an =…

A: A detailed solution is given below.

Q: Problem 3-5 (Algo) A cosmetics manufacturer's marketing department has developed a linear trend…

A: Question - A cosmetics manufacturer's marketing department has developed a linear trend equation…

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

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Q: 4. Find the cosine of the angle between the normal vectors to the planes x+y + 2z = 3 and 2x -y + 2z…

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Q: Question 6 The region R in the first quadrant of the xy-plane is bounded by the curves a = 4 + y², x…

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Q: The angle of elevation to the top of a building in New York is 12° from the ground and 1.25 miles…

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Q: by a factor of 5 not 1/5?

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Q: . (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does not otherwise √x…

A: Topic:- application of calculus

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

A: given point is (7,3,1)and perpendicular to  4x-4y+4z=7we know parametric equation of a line…

Q: Use the graph of f(x) to evaluate the following: -1 4 3 2 1 -1 The average rate of change of f from…

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Q: lim sin 9x sin 4x sin 4x sin 6x x-0

A: Given: limx→0sin9xsin4xsin4xsin6x

Q: a. Find an equation of the tangent line at x = a b. Use a graphing utility to graph the curve and…

A: