Use log differentiation to find derivative of y with respect to the given independent variable

Q: Below is a value of cosh x. Use the definitions for hyperbolic functions and the identity coshx- sin...

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Q: Find the values of a and b that make f continuous everywhere. x2 – 4 - 4 if x < 2 X - 2 f(x) = ax2 -...

A: Here, we need to find the values of a and b. We are given that f is continuous everywhere.  So,     ...

Q: 3-20 Find the limit. x² - 9 3. lim 4. lim + 2x - 3 x - 9 5. lim + 2x - 3 6. lim x² + 2x - 3 31-3 (- ...

A: Solution is given below:

Q: Functions A function value and a quadrant are given. Find the other five function values. Give exact...

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Q: 5. Ydx - xdy + x(2 – y)dy = y? e dy

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Q: Find the area enclored by the x-axis and

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Q: a) Find the inverse of the function. b) Sketch the graph of f(x) and f-1(x) on the same Cartesian pl...

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Q: (x*y- xy")(xdy + ydx) + dy = 2xdx

A: To solve the differential equation we use some special form 

Q: 68. Let Jr dx. %3D (a) Show that J1 = -e-x²/2. (b) Prove that Jn = -x"-le-x*/2 + (n – 1)Jn–2. %3D (c...

A: Solution is given below:

Q: P1. For each of the following infinite series: a) Determine n-th partial sum Sn b) Show whether the ...

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Q: Given the equation below. Give what is being asked. sec23xdx a In(1+4tan3x) + C 1+ 4tan3x Find: a + ...

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Q: sin x cos? x dx

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Q: (1 + cos x)y’ = sin x(sin x + sin x cos x – y)

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Q: Using Laplace transform, find the solution of the initial value problem. 5. y" – 4y = 6e³t – 3e-t, y...

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Q: 7. csc'x- cot'x + tan²x cosx - sin?xcosx

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Q: (5) (2х — у) — 2у — х dy dx

A: As per the guidelines, we are supposed to solve only one questions as multiples questions have been ...

Q: Activity 6: You are testing an electrical device which can be modelled by the following equations: I...

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Q: Which represents the Midline? (B) (C) (D) (A)- O A O c D

A: Topic = Functions

Q: Given the function g(t) = (t – 1)(t + 7)(t – 5) its g-intercept is its t-intercepts are

A: for g intercept t=0 g(0)=(0-1)(0+7)(0-5)g=(-1)×(7)×(-5)g=35 Hence g intercept is (0,35)

Q: Solve the initial value problem. dy = 5 e -t sec? (5x e), y(In 4) = 4 / r 3D5 e - t dt y%3D (Type an...

A: The detailed solution is given below Thank you 

Q: rectangle is formed by the vectors (4,1) (1,3) and (3,3). Determine the area of the rectangle, expla...

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Q: Sketch the graph of a possible function that illustrates the combination

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Q: 2. Given r(t) = et cos t i + e' sin tj + e'k , find the tangential and normal components of accelera...

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Q: Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function...

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Q: The half-life of plutonium-239 is 24,360 years. If 10 g of plutonium is released into the atmosphere...

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Q: Given f(x,y) = x?y-3xy³. Evaluate | fdy 14y -27y" , c + C O -6y3 +8y/3+ C O 6x2 – 45x + C 4 O 2x² – ...

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Q: Direction: Find the derivative of the function. 2e Select one: O y' = 4z? – 1+ 2e² O y' = 4z² +1 – 2...

A: according to company rules,i need to solve first question when multiple questions are posted so solv...

Q: sec 0 d0

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Q: (x-G -0 +2) dx + 2(x+2y+2) dy:

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Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS. 1. siny dx + (x - sin? y)dy=0 2. x + ( 1+x)y = e -× sin2...

A: First order differential equation : Consider the first order differential equation                  ...

Q: Graph of f 11. The graph of the function f is shown in the figure above. Which of the following coul...

A: Given that: Graph of f(x)

Q: Question 6 Direction: Find the derivative of the function. Not yet y = -r² +3 answered Marked out of...

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Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) = x? - 3, g(x) =4x - 5 (fo g)(x) = (Simpl...

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Q: Evaluate f sin'y cosy dy. 2

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y = sin x(sin x + sin x cos x- y)

A: According to question,Given differential equation,1 + cos x y' = sin x sin x + sin x cos x - y

Q: Consider the function below. Use it to find the following limits. ² – 49 F (x) |r – 7|

A: Given that: F(x)=x2-49|x-7|

Q: Slope of a tangent line at t1 = 6.0 and y = at? dy v = lim At-0 dt

A: Given that: y=αt2

Q: (1) хdy — ydx — Vx? + у? dx (2) — Зу? — у? sin x dx (3) (x2 + 1)4 — у2 + 1 dy dx

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Q: (2) = 3y² – y² sin x dx (3) (x² + 1) = y² + 1 %3D dx

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Q: 1.11 The solutions of the differential equation dy a - x dx B+ yx + dx² give most of the important d...

A: Solution of  given question is written in below steps.

Q: n this calculus word problem, that deals with linear vs angular speed, there is a patrol car. It is ...

A: Given: It is parked 50 feet from the a warehouse. the light revolves on top of car at rate of 30 rev...

Q: 2y (x+y+2) dx + (y²-x²-4x-1)dy = 0 when x=2, y= 3 |

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Q: Find the corresponding angle measure in radians. O A. - 45° OA. 4 7T O B. 4 OC. 3 元 OD.

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Q: Graph the following function over a two-period interval. y = -3+2cos x C.... Choose the correct grap...

A: The Solution is given below-

Q: Question 46 Find the volume of the solid that results when the region in the first quadrant bounded ...

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Q: Evaluate dV, where E lies between the spheres x2 + y? + z2 = 4 and x? + y? + z² E x² + y? + z? = 36 ...

A: x​=ρcosθsinϕ y=ρsinθsinϕ z=ρcosϕ ρ2 = x2+y2+z2 ​

Q: 2, 1³ – 6, if a 2 9. Determine whether each of the given limits exists or does not exist. a. lim f(x...

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Q: 2. BASEBALL A baseball player hits the ball at a 28 angle with an initial speed of 103 feet per seco...

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Q: The functions f and g are defined as f(x) = 5x- 2 and g(x)= -7x. f a) Find the domain of f, g, f+g, ...

A: The domain of f(x) is the set of all possible values of x for which f is defined.

Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

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