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Q: 7. Which of the following are anti-derivatives of f(x) = sin x cos x? I. F(x)= sin²x 2 II. F(x)=…

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Q: Q3; Fill in the blanks in the following: 1. If a=(-8,2) and b=(-1.-7) the projection a on to…

A: As per the guidelines I am supposed to do the first problem among multiple problems. So I am solving…

Q: his prism has a right triangle for a base. The volume of the prism is 54 cubic units.  Find the…

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Q: 1) (y ²-1) dx - 2y (²+x) dy 2) y² = x €²9-x² =C

A: See the details solution in below

Q: Step 1: Step 2: Step 3: Step 4: +1 tan² z sin²2 +1 cos² z sin²zcos² z + cos² z cos² z (sin²z +…

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Q: Determine whether lim cos F→0 exists, or not.

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Q: 3. Integral Riemann Use the Left Riemann and Right Riemann Integral to find the approximate of (2x³…

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Q: 11. Find the standard form of the equation of the ellipse with: Vertices: (0, 15); Passes through…

A: 11) Given that the vertices 0,±5, which are on the y-axis and passing through the point 4,2  Since…

Q: 13. Algebraically determine the values of that satisfy the equation 2 cos²0+ cos 0-1=0, where 0…

A: First I have let x=costheta And then reduce the trigonometrical equation into algebraic equation and…

Q: 11. An expression that is equivalent to 2tan z Otan z Ocot z 02 cot z sin 2x 1-cos 2z is

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

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Q: III. Solve the problem 1. x"(t) + x(t) = 6sin2t; x(0) = 3 and x'(0) = 1 2. Given:

A: As per bartleby guidelines we only give first question answers.

Q: Draw and show the solution in finding the differential equations of the family of circles with fixed…

A: This is a differential equation problem

Q: 1 -dx 1-x²

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Q: Find the sum of the first 100 whole numbers?

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Q: Find curl F if F(x,y,z) = 7exy i-8 cosy j +5 sin²z k. curl F = -7xexy k curl F = -7xexy i curl F =…

A: In this question, we want to find the curl of given vector function.

Q: Determine the absolute extrema of the given function on the specified interval. 1.) f'(x) = 1 + 80x³…

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Q: Problem 6. A cylindrical container with a diameter of 3 meters is being filled with water. The water…

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Q: f(x)= X-I x=1 √x-1 X = 1 1123 -s continuous at x = 1?

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Q: 1 X x2 – a 2 dx

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Q: 50lve the first order ODE UA x'sint - x Cost = -1

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Q: Find the given determinant by any method. 0000-91 000 20 00-70 0 040 0 0 50000

A: Given matrix, A=0000-90002000-7000400050000

Q: A manufacturer of canned food packages the product in cylindrical tin cans. The volume of each can…

A: Given

Q: 2) A bacteria culture which started at 2, 000 became 6, 000 after 4 hours. After how many hours will…

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Q: can you answer question 3 please

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Q: Let A= de ghi Assume that det(A)=-11, compute the following. NOTE: Enter all values exactly. (a) (b)…

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Q: Consider the region bounded by y = ex+1, ¹, y = 1, and y-axis.

A: Follow the procedure given below.

Q: The expression f(x+h)-f(x) h for h#0 is called the difference quotient. Find and simplify the…

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Q: Each of the following trigonometric expressions can be simplified to a numerical value, where cosθ ≠…

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Q: I. Jas dx 25+ x²

A: Given, ∫125+x2dx

Q: Consider the following: a. Write an equation of a plane in Cartesian form that contains the point…

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Q: An automobile manufacturer wishes to control the number of nonconformities (defects) in a…

A: answer is in next step . please give a like !!

Q: Calculate the discount on one bike if they decide to buy 10 bikes at the same time.   1.3.2…

A: This is basic algebra problem

Q: 6) Use double integral to find the volume of the solid bounded above by the paraboloid 9x² + y²,…

A: We can find the volume of the solid by using double integral .

Q: 10) In an aquaculture, the amount of bacteria doubles every 7 minutes. If the amount of bacteria…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: 1. What is the appropriate dot product technique for both Cartesian and Geometric vectors?

A: Given

Q: Integrate by substitution. 2 [x²(x³ +5) dx

A: Given query is to find the integral using substitution.

Q: Consider the region R bounded by y = Arctanx, x = 1, and the x -axis. Suppose that R has its…

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Q: Consider the following function.    (c)Use calculus to find the local minimum value.   Find the…

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Q: 1) Solve a) log(x+4)=1 b) log, (2x-3)=2

A: Given problems :- log(x+4)=1  log5(2x-3)=2

Q: absolute absolute error when you vo (12) with T₂(x) at od: Jest Trond.alq2] vib 10 TO 90AU973V803…

A: Let's find absolute error.

Q: Q2: Find a general solution of the differential equation (D² + 6D +13)y= 10e³- 16e using the…

A: Concept: The general solution of the given differential equation is given by  y=C.F+P.I Here C.F is…

Q: 16. Simplify. 5+ (467)⁰

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Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…

A: As point is (0.422, -0.907), is lying on intersection of the unit circle and a terminal arm of θ,…

Q: 11. Ay≈ f'(x) dx III. y2y₁ f'(x) dx - Oll O III O None of the choices OI

A: Using definition of derivative

Q: Suppose the inequality (2² - 4x + 3) ≤ f(x) ≤ cos (#) Find lim fx if it exists. 3 x-2 OA) -1 OB) O…

A: We use sandwich theorem to find limit

Q: 17/45 100% + Example 3: Find the parametric and symmetric equations of the line passing through the…

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Q: ƒ (₂) If lim fx x-0 = L then which of the following must be true?

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Q: Find the arc length of the curve y In(cosa) from = 0 to 2/4.

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Q: 2) for evdxdy

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