2 S dz = 3. S dv

Q: iven the ODE, solve: x(x + 4)*dy + [y(x+ 4)* – 3x*y³]dx = 0

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Q: Given: g(x) = -2x² + 3. Determine the slope of the secant lines the curve, given the coordinates P(1...

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

Q: Use long derivative (dy/dx) y = cos x

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Q: Find F'(x) if F(x) = cot¬13

A: A detailed solution is given below

Q: Find the following. a. da Pro b. da le 4] = %3D C. dr (5e 02] = %3D

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Q: Let a = and b =. Show that there are scalars s and t so that sa + tb =. You might want to sketch the...

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Q: The slope of the tangent line to the curve y at the point 6, is: 3 The equation of this tangent line...

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Q: Evaluate , (5"3-). Write fractions as an improper fraction a/b. %=D1 fit does not converge, write "I...

A: We will evaluate the series. 

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of .1 cm. Use differen...

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Q: Calculate the integration from the following figure y 2 y=x-4 A

A: To evaluate the integral for the region shown  

Q: Find the equation of the tangent line to the graph of y =f(x) at the point where x=-3 if f(-3) = 2 a...

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Q: x+2 8) Let f(x) = values of x at which the function is discontinuous. Determine the +x – 2 Determine...

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Q: 1. A Norman window is constructed by adjoining a semicircular window to the top of a rectangular win...

A: We have to find the dimensions of the given window.   According to our guidelines we can solve only ...

Q: B. Balloon B has been removed from service and the radius of the balloon is decreasing at a rate of ...

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Q: Solve the following initial value problem. y"-2y'+ 2y 7x +4; y(0) = 3, y'(0) =0 The solution is y(x)...

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Q: DO NOT include spaces in between characters. * Determine f'(2) if f(t) = log10 2t –1 Your answer

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Q: Let a = ci + jand b = 4i + 36j. Find c so that a and b are orthogonal. C = i

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Q: Find lithere L is arde anc

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Q: (2+x, x<2 15. Given the function g(x) = l6-x, x22 Find g(2). a 1 b. 2 C. 3 d. 4 16. (Refer to item #...

A: We have to choose correct option

Q: S(*-4)(12: – z') dz

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Q: + 2y = 7x +4; y(0) = 3, y'(0) is y(x) =. %3D

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Q: Find the equation of the tangent line to the curve y = x + 5x^2 - 3 which is passing thru point (1,3...

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Q: Find F'(x) if F(x) = cot¯ 12

A: We can find the derivative as below

Q: Find f'(x) and f"(x) of f(x) = 11x³.

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Q: . lim,0+ (1 + 2x)In(2z)

A: Solution :1∞  formif limx→0fx=1 limx→0gx=∞if the form limx→0 fxgx then elimx→0 fx-1gx

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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

Q: Apply Differential Equation A lake has a volume of 458 cubic km, and its rate of inflow and outflow ...

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Q: ctoo The improper integral I' dx converges for p<-1. True False

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Q: Write the expression as the sine, cosine, or tangent of an angle. tan(7/15) + tan(4z/5) 1 – tan(x/15...

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Q: Below shows the graphs of the slopes of the tangent line of four different functions. Which of the f...

A: A) First graph is the type of =   - x2n And we know that these types of graph attains every value of...

Q: Let a = ci +jand b = 3i + 4j. Find c so that the angle between a and b is- 9. %3D Round your answers...

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Q: Find the exact value of sin 20, cos 20, and tan 20 using the double-angle formulas. cos 0 = 5 13 S <...

A: Given cosθ=513We know that sin2θ+cos2θ=1sin2θ=1-5132        =1-25169        =144169Sinθ=-1213 (As si...

Q: xy = 4, y = x,y = 1; about the x-axis.

A: Find your answer below 

Q: 1 Evaluate the following integral. dx X4V9-x2

A: ∫vn dv = vn+1n+1+C

Q: EVALUATE THE INTEGRAL

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Q: 2x2 x2 –1 and horizontal asymptotes of the given (7) Let f(x) = Find the vertical function. Show the...

A: For vertical asymptote Take f(x) tends to infinity.  For horizontal asymptote take x tends to infini...

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(r) = 4x + 7...

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Q: dy 3 1. a) Solve the differential equation dx if y = 3 when x = 1. xy

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Q: Given y=(3x +6)| 2x- Find the value y' at x = 4

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Q: x" у" +3ху'+.75у%3D0 У(1) %3D 1 У(1) %3D-1.5

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

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Q: Evaluate the following integral. | e2%cos3x dx

A: LetI=∫ e2xcos3xdxApply integration by partI=e2x∫cos3xdx-∫ddxe2x∫cos3xdxdxI=e2xsin(3x)ddx(3x)-∫e2xddx...

Q: Find d'y /dx? Y = xtan (-)

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Q: DO NOT include the variable in your answer. * Given the graph of f'(x) below, what is the slope of t...

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Q: 9. Given the functions /(x) = 2x + 5 and g(x) = x? – 4, find (4) x. b. C. d. 2x-5

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

Q: 10. Consider the bit strings in B (bit strings of length 6 and weight 2). (a) How many of those bit ...

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Q: Evaluate the given integrals. dx 3. Csc 3x-cot 3x

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Q: Consider the following. f(x, y) 3e% sin(y) Find Vf(x, y). Vf(x, y) = %3D Determine Vf(x, y) at the p...

A: f(x,y)=3ex siny∇f= ∂f∂x i + ∂f∂y j∇f=3sinyddx(ex) i +3exddy(sin y) j∇f(x,y)=(3ex siny, 3excosy)at 0,...

Q: a) Oppositely directed to v = (1, —2) and half the length of v. w=  (b) Length and same direction a...

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Q: - Trig Sub 1 dx V9 – x²

A: