(x + 1)² (y-8)² (v-8)² = 1 - + 9 81

Q: Which of the following is ALWAYS TRUE about a function f? □ If f(x) is a rational function with…

A: Using definition of derivative

Q: Which of the following statements is/are ALWAYS true for a function f and a real number c? A: If lim…

A: We can answer the question as below.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x +…

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Q: Please kindly show all working. Thnx. 1) Let f(x)=x3−3x2−9x+25. Use the derivative…

A: Given function,f(x)=x3−3x2−9x+25.We know that.Suppose that x=c is a critical point of fx then, If f…

Q: x² +1 11. Find +3x+1 -dx

A:

Q: dx Q3/ Evaluate four of the following integral. c. S TI dx sec²x d. S- e. f(3x + 2)5 dx

A: Topic = Integration

Q: IF y = u+ + 3u2 & u = 2x 64x3 + 30x 8x(8x2 – 3) الخيار رقم 1 خيار 3 Find dy dx 8x(8x2 + 3) 8x(8x3 +…

A: We can find the derivative as below.

Q: Find an equation of the line tangent to the graph of f(x) = a) at (1,1); b) a (-37) at a) The…

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Q: Which of the following is NOT true about the curve * y = x3 – 5x2 + 2x+8? (-1,0), (2,0) and (4,0)…

A: The given function is: y2=x3-5x2+2x+8y=±x3-5x2+2x+8 If a function is symmetric with respect to the…

Q: ODE  Solve the homogeneous equation  dy/dx = x+3y/x-y

A: Use the homogeneous differential equation and simplify it

Q: The equation of a hyperbola given below when reduced to standard form is 16y² -9x² +36x +96y - 36 =…

A: solution:-16y2-9x2+36x+96y-36=016y2+96y-9x2-36x-36=0  to make perfect…

Q: The length of a rectangle is given by 4t - 3 and its height is 2t, where t is time in seconds and…

A:

Q: S 0 Question 8 A lighthouse L is located on a small island 2 km from the nearest point A on a long…

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Q: x Let a and b be positive real constants, and let y = f(x) such that tan ay statements is TRUE? O dy…

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Q: Compute the divergence and curl of F= -(z³-3x)j+4y²k+x²yi

A:

Q: Q3: Show that b. I — = ƒ‰e¯¹8(2t − 2). dt = ½-½ 2e C. L²u(t)dt = = [cosnt. 8(t − 2) + 38(t+1) +…

A: We have to prove the given statement.     According to our guidelines we can solve only three…

Q: followin COSX 3. f- dx 1+sinx 4. f (sinx + cos x)² dx 203 (y² +1) 20 dy 5. f

A:

Q: position of a moving object is s (t) = 1³ – 31² - 45t-1. What is its acceleration at t=2?

A: Given query is to find the acceleration at indicated point.

Q: 0 ex [ 224²1 ex + 1 J-In 2 dx

A:

Q: 12. Why does working with a special linear system (i.e. an n by n linear system of equations whose…

A:

Q: -√12 √√3 √9 B. V3 10- 7- 12 A. 3 О А О в О с O D X ... С. 1 التركية D -1 الإنجليزية

A:

Q: Find the area of the shaded region. 4 f(x)=x²-8x³+21x², - 8x³ +21x², g(x) = 6x + 36 The area is.…

A:

Q: Find the transition points. y = 2x^ = 18x* (Use symbolic notation and fractions where needed. Give…

A:

Q: Approximate the value of In (1000!)

A: Here we have given ln1000!. Now finding it's value we get : As we know that expansion of lnx is…

Q: FIND THE FIRST PARTIAL DERIVATIVE fx , fy and fz  OF THE FOLLOWING FUNCTIONS. SIMPLIFY YOUR ANSWERS.…

A: Topic = Derivative

Q: If 2* ( (4x-1)/5) =3 then x = 0 1 O 0.1 O-0.1 5 100 17/8 160 O +1 O-1 500 √25 +1,-1 None of them

A:

Q: )+ (% 7 A- 9 11 O A О в О с O D 6. 12 34 1 0 5 67 B. [8 20] с. 11 D. None of them

A:

Q: What are the vertices of the hyperbola whose equation is: * 9x² -4y² +72x + 108 = 0 (-1,0) and…

A:

Q: . Find the integral [cos (3x - 2)dx

A: A detailed solution is given below.

Q: y" — 5y' = x − 2, when x = 0, y = 0, y' = 2

A: To find the particular solution for the given DE.y''-5y'=x-2, when x=0, y=0, y'=2

Q: c) lim x-0 √x+5-√√5-x x

A: Given query is to find the limit of the expression.

Q: I Find A of The Matrix A: 229232 1274252 23kg ① 11 221 312 미시 2097 175 1225 1pisuall O 3

A:

Q: Find the area bounded by the parabolas y2 = 4x and x2 = 4y

A: Given curve: y2 = 4x and x2 = 4y To find the area between y2 = 4x and x2 = 4y First find the…

Q: 4. Sketch the graph of one function f(x) that has all of the following properties: a.) The domain of…

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Q: Exercises :- Calculate the following limit statements 2 1)lim (tanx) cos x²-sin²2x 2) lim x-0 x2 3)…

A:

Q: X Consider the function f(x) = x²-1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

A: All the subparts are solved below-

Q: Activity 6: Challenge yourself Application of Differential Equation: In a farm, there were initially…

A:

Q: 25 2=9. - Maximize Q=xy, where x and y are positive numbers such that x +- and y = The maximum value…

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Q: A. arcsec(-2) B. arctan - الله ان

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 2 cos(t) +…

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Q: Find the standard form of the equation of the circle whose diameter is the line segment joining (-2,…

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Q: Evaluate. Then interpret the result in terms of the area above and/or below the x-axis. 을 √(x²-3x)…

A:

Q: Consider the following function: Step 2 of 3: Find f Answer f(x, y) = (4x + 3y)

A: I have stated the used formula and the property in the solution

Q: (242²-121²) 242*121 O 1 O 2/3 O 11/3 O 3/2 ||

A: This question is based on formula  a2 - b2 = (a-b)*(a+b)

Q: S sec³ x+esin sec x - dx

A:

Q: Find fxy.

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Q: use the Root converges. is b. [ n = 1 Please Test to determine Just leave con clusive. whether as it…

A:

Q: Determine whether the given equation is separable, linear, neither or both.  (t^2+1)dy/dt=yt-y

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Q: 5. -9.763332111 is a Whole number. True false 6. (0.01) 365 > (1.00) 365 True false 7. (2²²)⁰+ (2⁰…

A: 5. Given , -9.76332111 we need to say wether given number is a whole number or not definition of…

Q: 4 √25-x² X 3 dx

A: