- 1. der the equation In ay Ehow that (r, y) = (1,1) is a solution to this equation. dy Find dz (my)=(1,1) dz Find dy |(2,u)=(1,1)

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Q: 2. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...

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Q: 4.) Find dy/dx. Given: 5x - x'y' = 2y %3D 5.) Find dy/dx. Given: y? + 2xy² – 3x + 1 = 0 | 6.) Find d...

A: 4. 5x-x2y3=2y5. y2+2xy2-3x+1=06.1x+1y=1

Q: Find an arc length parameterization of the given two-dimensional curve and give the corresponding ve...

A: Given problem:- Find an arc length parameterization of the given two-dimensional curve and give the ...

Q: What are the roots of the auxiliary equation corresponding to the DE 6y"+11y"-y'-6=0? Write the gene...

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Q: Determine the standard form of equation of a hyperbola with vertices at (2,3), (2, – 3) and passing ...

A: Given problem:- Determine the standard form of equation of a hyperbola with vertices at (2,3), (2, -...

Q: (MULTIPLE CHOICE) Which of the following equations is(are) variable separable? dN + N = dt N dr (A) ...

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Q: e dx (9+ e2=)

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Q: 12. DETAILS LARAPCALC10 2.5.036. Find an equation of the tangent line to the graph of f at the point...

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Q: Consider Line 2, which has the equation: y = 9 Give the equation of the line parallel to Line 2 whic...

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Q: x5 lim x2 – 2sinx + 2x O 20 O 1 O 30 0

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Q: Exercise: Do as indicated if x 4. 3 1. Is the function g(x) = continuous on [1,4]? on (-∞, 0)? 3 – ...

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -5 and x = 6 x-intercepts...

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Q: sin° x Vcos x

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Q: If the relationship between Y and X is negative (as X increases Y decreases), then there are more po...

A: Here, the given relation between Y and X is negative that is as X increases Y decreases. One of the ...

Q: 2 cos(3x) – 3 x2 – 2 sin(9x) – x2 – 9x - lim - (Use calculator and write your final answer in the gi...

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Q: 20. DETAILS LARAPCALC10 2.7.021. Find the slope of the graph of the equation at the given point. (If...

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Q: Find the derivative of the following functions using the long method (limits) (a) x =t-5t- 3 (b) y =...

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Q: Find a formula for the graph in terms of f (x) = sin x or g(x) 10 = COS X. NOTE: Eter your answer in...

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Q: Integrate the following functions: 1. S sin 2x dx

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Q: 9.) f@)= 3x 2x + 4 at a point where x 0 10.) fx) = (x + 1)' at a point where x = 1

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Q: 5 can

A: We will find the time period. 

Q: Create a question covering inverse of a  functions

A: We have to find inverse function

Q: Solve dy Зу - 4х dx x-y – 2x = C 2x* + x-3 y = C 4 x-3y – 2x-2 = C 2x2 + xy = C -3

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Q: 2. Let r+1 I <-1 f(x) = { 2– Vr² + 7 [3r – 4] r 2-1 Determine if lim f(x) exists. r+-1

A: Find left and right hand limit and using L hospital rule. (Indeterminate form)  Since left and right...

Q: |r+7| 9. b. lim r-8- x2 + 7x -8, x + 8

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Q: solve for nonbemagnenous dileremnial equation.

A: We have to find the general solution of initial value problem

Q: t nd the arc length parameter along the curve from the point where t= 0 by evaluating the integral s...

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Q: +oo n+1 n=1 Determine whether the sequence converges, and if so find its limit. If the sequence dive...

A: an =nn+1a1 = 11+1 a1 =12a2 = 22+1 a2 =23a3 = 33+1 a3 =34a4 = 44+1 a4 =45a5 = 55+1 a5 =56

Q: -1 | tan *xdx

A: The given integral,       ∫tan-1x dx

Q: Recall how to identify the limit and exact value of each function givenc using a graph. Given the gr...

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Q: Given: sing e is a third quadrant angle, and tand -ả, dis a second-quadrant angle; find tan(+b) -1/3...

A: Trigonometry

Q: sin(2Tx) lim x → 6 x² – 36 -0.3333 T O 0.1667 ↑ O -0.1667 T O 0.3333 T

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Q: Find the derivative of the following functions, а. F(x)3D etdt F'(x)= 3x+2 b. y= 1+t3 dy . dx *sin(x...

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Q: Find the surface area generated by rotating the given curve about the y-axis. x = et - t, y = 4et/2,...

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Q: Find the minimum value of the function f (x, y) = 16x² + 81y? subject to the constraint xy = 1.

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Q: The figure on the right shows the graph of f and a line tangent to the graph of f at x = 7. Find f(7...

A: Given query is to find the value of f(7) and f'(7).

Q: If f(x)=10sin(x)+3cos(x) , find a function g so that g"(x)=f(x) given that g(0)=0 and g(2)=12 . g(x)...

A: Given query is to find g(x).

Q: Which of the following equations is an ellipse? Ay²= x² + 4 (x– 2)² , (y+2)² (B) 1 25 25 x2 + 4y2 - ...

A: Given: - The four equations,  (a) y2=x2+4(b) (x-2)225+(y+2)225=1(c) x2+4y2-16=0(d) 4x2+4y2-5=0 To ch...

Q: You go to the doctor and he gives you 17 milligrams of radioactive dye. After 20 minutes, 6.5 millig...

A: Given query is to find the atime taken to reah the radioactive to 2 mg.

Q: Graph the function y = 9 – 3cos(50rt) without a calculator starting at t = 0.

A: In order to get the exact graph of the function y=9-3cos(50πt) some points for which calculator is n...

Q: 1 d.x x/1+ x6

A: LetI=∫1x1+x6dxPut1+x6=u                         (1)squaring on both side1+x6=u2x6=u2-1              ...

Q: Determine the equation of the parabola given:

A: Graph of the hyperbola is given, we have to find its equation

Q: Write an equation of an ellipse with center at (3,2), focus at (5,2), and vertex at (8,2). (x- 3)2 ,...

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Q: the improper integral dx convergent or divergent? If it converges, find out to what it converges.

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

Q: 3. Evaluate: e-x²+2x dx (Hint: let t = (x – 1)²) %3|

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Q: Graph 1 Graph 2 Graph 3 2- -2- Symmetry: Symmetry: Symmetry: Ox-axis Ox-axis Ox-axis Oy-axis Oy-axis...

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Q: Directions: Work in your small group to complete this worksheet. Return the completed worksheet alon...

A: We need to find rate of change of area.

Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator ...

A: Given query is to find horizontal and vertical asymptot for the function.

Q: Consumers are spending more on music from digital sources than they do on CDs. Purchases of streamed...

A: solution