PROPER

Q: (5) Find the local maximum and minimum values of f(r) = 1+3x2 – 2.r using either the First…

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Q: 1 EVA LUATE ECs) OF THE DIFF ARD 4(0)-0. dy dt² dt

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Q: 1. How tall is Gio than Trixie? 2. How short is Ana than Leigh? 3. If Janela stood on a box that is…

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Q: Direction: Find the differential equation of the family of curves described. 1. Find the…

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Q: Consider the function  f(x)=4/x^2−3/x^5. Let F(x) be the antiderivative of f(x) with F(1)=0. Then…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: To find out the directional derivative.

Q: Consider the function y = 5x4-4x3-3x2+8x-12. What is the average value of the function on [-3, 1] ?

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Q: What is the value of the trigonometric expression below? * sin 0° + sin 1° + sin 2º + sin 3º + ... +…

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Q: Direction: Solve the following equations using separation of variables. 3. 2xy + 6x(x² – 4)y' = 0…

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Q: 2. y = loga(x³ + 2x – 2)

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Q: 'ind the exact length of the curve x = t sint y = t cos t or 0<t< 1. ou may use the following result…

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Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

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Q: TOPIC: Applications of Integration Plane Area Area between curves Volumes of Solids of…

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: Find the equation of a cosine curve that is obtained by shifting the graph of y = cos(x) - to the…

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Q: A PLDT tower and a monument stand on a level plane. The angles of depression of the top and bottom…

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Q: y dy J 725 – 16y 2.

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Q: d. x cosy + y sin x –1 = 0 3 х е. = 2 x y

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Q: Find the orthogonal trajectories of the given family of curves. Draw a few representative curves of…

A: For orthogonal trajectory we replace dy/dy by -dx/dy

Q: Solve the following items and show your solutions. a.) Find the general and particular solution of…

A: x dydx+2 y =4x2dydx+2x y =4xComparing with Bernouli's equation;y'+P(x) y = Q(x)P(x)=2x, Q(x)=4x

Q: Hwe Find dw and dw for the following functions

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: (b) dx (1+ x²)² 0,

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Q: At a point 160/3 feet from a building, and in a horizontal line with its base, the angle of…

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Q: how about the equation of the normal line?

A: Apologies for the inconvenience. Here is the solution for the normal line:   From the original…

Q: Which of the following is not equivalent to cos(0 + 0)? cos 8 cos 0- sin 60 sin 0 1- 2 sin? 0 O…

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Q: 3 37 Calculate L4 for f(x) = 24 cos () over [, *). %3D L4

A: The given function is: f(x)=24cosx3 The given interval is: 3π4,3π2 So, ∆x=3π2-3π44=3π44=3π16

Q: Solve the following items and show your solutions. c.) Find the general solution and solve for the…

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Q: Which of the following is not equivalent to tan"? 2 1- cos 0 csc 0 + cot 0 sin 8 O Option 1 O Option…

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Q: CSC* x dx cot2 x cot²

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Q: Question Use the First Derivative Test to find the location of all local extrema for the function…

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Q: This subject is DIFFERENTIAL EQUATION. SOLVE THE FOLLOWING APPLICATION PROBLEMS 2. The population of…

A: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what wil be…

A: Cylinder, Hemisphere and Cone have same bases i.e. all three have same radii (say r) Also the height…

Q: Find parametric equations of the line through (-1,0,1) that is parallel to 2i – 6 j+ k. -

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Q: Find the dot product of the following vectors u and v. %3D

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Q: Direction: ate the following arbitrary constants to obtain the DE. а 3. y = () + bx

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Q: Solve for the following application of first order differential equations. Show your solutions. 3. A…

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Q: Consider the following. u = 5i - j - k, v = -i + 5j + 2k (a) Find the projection of u onto v. (b)…

A: The expression for the vector projection of u onto v is: projvu=u·vv2v And The expression for the…

Q: Solve bernoulli equation (dy)/(dx) - y = x * y ^ 2

A: Given problem:- Solve bernoulli equation (dy)/(dx) - y = xy2

Q: Consider the following. u = -9i – 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

A: Explanation of the answer is as follows

Q: Find dx and simplify whenever possible. 1-cosh x 1. у 3D 1+cosh x 2. y = x tanh¯x + In V1 – x²

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Q: Write the equation of the tangent line to the graph exy + cos v = + COS at He %3D point (-0.3, 2.12)

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Q: Exact ODE y'sin2nx-nycos 2rx

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Q: Consider a right pyramid whose base is an equilateral triangle of side 4 cm each. If each slant edge…

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Q: 5. The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the…

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Q: If one side of a square is 5 meters in length, what is the length (in meters) of one diagonal? * 5/2…

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Q: Determine whether the area of the given unbounded region is finite. If the area is finite find it.…

A: The region is bounded by curves y=1x4 , x=1 and y=0 which is to the right of the vertical line x =1.…

Q: Which of the following is NOT a solution to the trigonometric equation 2 cot 0 cos 0 – cot 0 = 0? 2…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (10, 5, -2) 2, Vw(10, 5, -2)…

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Q: Evaluate by separation of variables. dB du = u(1 – u²) sec 3 O 2u? + sin 28 = C – (1 – u²)² O 2 sec…

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