Differentiate with respect to x: 3x4 x³y + 4y³ = 6 Select one: the following implicit equation for y(x)

Q: If f(x) = - f'(x) = f'(5) = 2 sin r 3 + cos x 3 then

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Q: Find the speed of the curve F(t) = (5t² + 7, 6t – 4, t³ + 5t) at t = 4 Speed =

A: To find the speed of the curve r¯t=5t2+7, 6t-4, t3+5t at t=4.

Q: Consider the vectors à = 3i+j-k, b = − 37 - j + k, d = i +3j+ 4k, Which pairs (if any) of these…

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Q: Find the point on the plane x + 2y + 4z = 18 closest to the point (1,1,1).

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Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

A: To evaluate the given limit of the function

Q: Identify the function. √4-x O The function is not linear, quadratic, or cubic. O Linear O Cubic O…

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Q: When a new product is advertised, more and more people try it. However, the rate at which new people…

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Q: 3. Consider the function where x = (1-y)-¹. (a) z = x² – ³x + √/1₁ + 1³₁ V Find the partial…

A: Given z = x2 - e5xy + y1-t + t3x = ( 1 - y )-1

Q: A smokestack deposits soot on the ground with a concentration inversely proportional to the square…

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Q: Find the slope of the tangent line to the curve 2x² + 3xy-4y³ = 270 C at the point (-1,-4).

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Q: Find the point P on the graph of the function y = √x closest to the point (4, 0) The x coordinate of…

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Q: Determine graphically the solution set for the system of inequalities. x + y ≤ 6 0≤x≤4 Υ 20

A: Given    x+y≤6draw line x+y=6 points are ( 0 , 6 ) and ( 6 , 0)check origin x+y≤60+0≤6hence origin…

Q: 5,-3,8 Givenu = ,8) Leave your answer as an exact value in simplest form. = (k, 2, 4) calculate k…

A: Given query is to find the value of k.

Q: Find the radius of convergence for Σ(-12, 2012

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Q: a) Find the vector, parametric and symmetric equations of the line that is perpendicular to -4x - 4y…

A: Use the concept of the basic coordinate geometry and formulas.

Q: Evaluate: [ 9zº · sec(z³) tan(zº) dz = [

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Q: QUESTION 1 Find the solution to the given differential equation. "+8y'+ 16y=0 3y" + 2y'+y=0 Vy"-4y"…

A: The given differential equations are; 1) y'''+12y''+36y'=0,y(0)=0,y'(0)=1,y''(0)=-7 2)y'''+y''-2y=0…

Q: 2 Find the points on the surface z² = xy + 36 closest to the origin.

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Q: I want health school - Save & Exit Practice TO DO Answer Question 9 of 12, Step 1 of 1 recipies…

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Q: 63 30.777 16 A rocket is being launched. After a while, it rises at a constant velocity of 25 miles…

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Q: How is domain of the function f(x) = cos a restricted so that its inverse function exists? Drag a…

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Q: y²- x² = 9; (3, 3√√/2) Find the slope m of the line tangent to the graph of the given function at…

A: Given query is to find the slope and the equation of the tangent line.

Q: 2. f(x)=(3x2+ sinx)(x7 +2) 4. 6. √x y=-7 x+2 y= x3 √x+1

A: As we know that, The Power law: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The Quotient rule:…

Q: se the second derivative   ''f(x)=x(x+1)(x-2)2 to determine where the inflection points of   f(x)…

A: given function is :-f(x)=x(x+'1)(x-2)2 then by using  second derivative , we have to find…

Q: (a) In these examples you will need to enter exact answers. When you click on the answer field, the…

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

Q: Determine the distance h for which the centroid of the shaded area i as far above line BB' as…

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Q: If 8000 dollars is invested in a bank account at an interest rate of 9 percent per year, Find the…

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Q: II. For each function below find the critical points, the values at all critical points and…

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Q: pls show all steps and correct answer, and if possible pls do it handwritten that way i understand…

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Q: The graph of the following function is a linear function.

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the given graph represents…

Q: A bank features a savings account that has an annual percentage rate of r = 3.6 % with interest…

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Q: Write the equation for the plane. The plane through the points P(-1, 7, -51), Q(2, -6, 45) and R(1,…

A: To find equation of plane

Q: Suppose f(x) and f'(x) have the values shown. I f(x) f'(x) Let g(x) = ef(z) g'(22) = 22 22 21 2 5 10…

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Q: pls show all steps and if possible do it handwritten so i can better understand thanks,  Given: a)…

A: To find the number of points of intersection of the two lines, we first need to determine the…

Q: What is the equation of the midline of the function f(x) = 5.6 sin (1.2x2.3) +1.8? y = -2.3 Oy=-1.8…

A: f(x)=5.6sin(1.2x-2.3)+1.8we know mid line of sin function is x-axis on x-axis y is zero

Q: Suppose that f is a function given as f(x) = 2x² + 5x. Simplify the expression f(x + h). f(x + h) =…

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Q: Given f(x, y) = -6x³ + 5xy5 - 2y, find fax(x, y) = = fay(x, y) =

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Q: Let f (x) = x^2 -3x+5 a) use the definition of the derivative learned in class to compute f'(-2) b)…

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Q: S²₁ Sinmxsinhxbx = 2 x if m=n So min

A: To prove:- ∫-ππsinmxsinnxdx=0if m≠nπif m=n

Q: sin²(x²-9) lim x-3 tan(x-3) (5 x - 15)

A: Given;  Limx-3 sin2(x2-9)/[tan(x-3)(5x-15) ].

Q: dy Use implicit differentiation to determine given the equation x + y = 10. dx dy dx

A: Given equation:- x6+y4=10

Q: Consider the following. The ellipsoid 2x2 + 5y2 + z2 = 47 intersects the plane y = 2 in an ellipse.…

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: Here we find position vector by using acceleration initial velocity and initial position

Q: 6. a. Find all relations from (4, 5, 6) to {1, 2}. b. Find all functions from (4, 5, 6) to (1, 2).…

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Q: Vy"+12y" +36y'=0; y (0) = 0; y'(0) = 1;y" (0) = -7 y""+y" - 2y=0 ✓y" - 4y'-5y=0; y (1) = 0; y' (1)=2

A: since it multiparty question we solve only first three parts

Q: (x-y)(4x+y)dx + x(5x-y) dy= 0    solve the homogenous differential equation

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Q: Prove that lima f(x) = limno f(a+h).

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Q: Find the derivative of the function. g(x) = e−x cos(x2)

A: Finding the derivative of g(x)

Q: The position function of a particle is given by F(t) = (3t², lt, t² – 1t). At what time is the speed…

A: Given position vector:- ⇒r→t=3t2,1t,t2-1t

Q: i cannot see the solution please resend

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