Find for the following functions: 2x (x- y) - X +y 2. y = 2x2 +5XVX-3 lnx e5*

Q: Problem Consider the surface defined by f(x, y) = ln(5y – 7.x). Find the equation of the tangent pla...

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Q: 10. Find the equation of tangent line to the graph of f(x) = 2x – x³, at the point(-1, –1). %3D

A: Find your answer below 

Q: II. Given the graph below, evaluate the following limits: lim b* 1.2 lim b -1 1. lim b 0 2. 3.

A: The definition of limits in layman words is when we look at a graph of a function, what value does t...

Q: Consider the linear function defined by: f(x) = -3x + 2 (a) Calculate: f(-1), f(5) (b) Determine the...

A: Note: As per company guidelines we are supposed to solve only 1 question or 3 subparts. So, kindly r...

Q: An integral expression for the area of the surface generated by rotating the curve X =Vy , 1sys8 abo...

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Q: 6. Find k such that the line is tangent to the graph of the function f(x) = k/x and y = 2x + 18.

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Q: 3x2 + 9x + 6 Given the function f(x) = identify the x2 +x - 2 following. a) y-intercept: (0,_) b) x-...

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Q: Example 2. Find the derivative of the following with respect to x. x" +1. (iv) x-5 (i) x12 + 7, (ii)...

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Q: stion 2 Set up (Do not solvel) the volume of the solid whose base is bounded by the cirde x+y4 with ...

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Q: evaluate ∫∫xydxdy using the inner limits 0 to (y+1) and outer limits 0 to 1

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Q: 16 Fill in the blanks. Non-vertical lines have ___________________ slope. Decreasing lines have ____...

A: for vertical line there are no slope  and for non vertical line we cant say about slope because it i...

Q: (x - 5)" For what value of x does the series converge? n=0

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Q: Find the radius of convergence of the power series. (If you need to use co or -0o, enter INFINITY or...

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Q: Given the graph below, evaluate the following limits: y = b Retrieved from:basiccalc_initial_release...

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Q: 1. 2. The derivative of a sum is the sum of the derivatives. The derivative of a quotient is the quo...

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Q: dy et y = (x³ – 18x)m(=). Find using the method of logarithmic dx - ifferentiation. Express your ans...

A: Topic:- derivatives

Q: QUESTION 1 9dz 9dz The infinity in the can be eliminated by lim J2 (1- 32)4 t+ o'2 (1-3z)4 True Fals...

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Q: How did he get the value inside the circle? Is it possible to explain step by step 12 with completin...

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Q: 6. Let a be a real number. Consider the series Σ an = cos(nT); 2n +1 an, where n=0 Is it possible to...

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Q: Find the derivative of the vector function below 2, r(x ) = sin (secx ?)i +csc°(Vx² +1)j +8tan(x -) ...

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Q: 1 You are required to calculate the gradients of f(w,x) = 2+sin?(w,x1)+cos(W2x2) with respect to w, ...

A: f(w,x) =12+sin2(w1x1)+cos(w2x2)∂f∂w1 =-1(2+sin2(w1x1)+cos(w2x2))2ddw1(sin2(w1x1))∂f∂w1 =-2 x1sin(w1x...

Q: Find a formula for the parabola shown below. 3- 2 (-1,0)|| (7,0) 5 4 -3 -2 1 1- 4 5 8 -3 40 (0, -4} ...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function f(x) ...

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Q: A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest p...

A: Solution: As we can see in the figure Height AO=h, radius OC=r ∠BAQ=2α Let the radius of the cylinde...

Q: Using double integration, find the volume of the solid bounded below by the plane z 0and above by th...

A: z= 25-x2-y2z≥0at z=0x2+y2=250≤z≤25-x2-y20≤z≤25-r20≤x2+y2≤250≤r2≤25  → 0≤r≤50≤θ≤2π

Q: ad the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or -...

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Q: ,(KGR) ther wise (a) Calculati te pointwise limit fen)alim fca).

A: Given

Q: QUESTION 10 How fast is the area of a circle changing when the radius is 10 cm. if the radius is cha...

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Q: SIT x y z dx dy dz Evaluate 0. O 3 0 4 0 1 O 2

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Q: What is y if y= x when x 2? Oa.-1/4 Ob.3/8 Oc 1/4 Od.-3/8

A: According to question,Given function,y = x-2 

Q: Graph the function f(t)=(t − 1)² and find its average value over the interval [0,3].

A: Follow next step

Q: Consider the following. (If an answer does not exist, enter DNE.) fx) = 180x + 3x - 2x (a) Find the ...

A: Given :f(x)=180x+3x2-2x3

Q: The slope of the secant of the graph of y=3x - 2x² through the points at which x = -1 and x = 2 is 1...

A: NOTE: Refresh your page if you can't see any equations. . take x=-1 so the first point is 

Q: QUESTION 14 Set-up (Do not solve!) the volume of the solid whose base is bounded by the graphs of y ...

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Q: 7. If y = 6e, then y' = 30e*. The derivative of a product will never be equal to the product of deri...

A: Given,  f''(c)=0  On integrating both sides, ∫f''(c)=∫0 dc ⇒f'(c)=0 Where 'c' is a real number

Q: A baseball is "popped" straight up by a batter. The height of the ball above the ground is given by ...

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Q: . Consider the function f(x, y) with level curves as shown below. At the point P are two vectors 7 a...

A: Solved below

Q: Using differentials, if y= x determine the approximate change in y when x changes rfrom 8 to 8.01. a...

A: A detailed solution is given below

Q: QUESTION 9 The hypotenuse of a right triangle is 14 m. Find its perimeter if its area is a maximum. ...

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Q: (d) Find the solution y = ¢(t) of the given problem and evaluate $(t) at t = 0.1,0.2, 0.3 and 0.4. y...

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Q: The equation a² + y? + 4z2 = 25 in R° describes

A: We have to describes the given equation in R^3

Q: Find the limit for the following functions: x-sinx 1-lim, x-Vx² + 2x 2- lim,-o

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Q: Let a, h, and k denote constants. Which of the following intervals could possibily be the range of t...

A: Range of a function is the set of all possible output values (y values) of the function.

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Find the area of the surface obtained by rotating the curve y = 3x2 from point (4, 48) to the point ...

A: Let's find. 

Q: Evaluate the following integral. - cosh x dx 2. sinhx- sinh x

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Q: My – N. - If Q, where Q is a function of x only, then the differential N equation M + Ny' = 0 has an...

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 dv 3 V

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Q: Find the local maximum and minimum values and saddle point(s) of the function f(x,y) = x² + xy + y2 ...

A: The given function is: f(x,y)=x2+xy+y2+y Now, to find the stationary points, let fx=0 & fy=0⇒2x+...

Q: Q2:B/ Find dy/dx f Via - "sin Vi dt y = + cos t dt

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