Jse implicit differentiation to find an equation of the tangent line to the curve 3xy³ + 2xy = 35 at the point (7, 1). The eguation defines the tangent line to the curve at the point (7, 1). .d ......

Q: Reverse the order of integration and evaluate the integral. 9 3 dy dx + 1 3 y The reversed order of ...

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Q: Find the general solution to the differential equation y"+5y" + 6y' + 2y = 0. %3D Hint: Look for a r...

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Q: Consider the following. u = (4, -5, 8), v = (-1, -6, 3) (a) Find the projection of u onto v. 25 -150...

A: This is a problem related to vector. Based on the general formula we will solve the question.

Q: 3x Find the limit: lim,→7 I+2

A: This is a limit problem of the function. Please follow the procedure given below.

Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx *please explain step by ...

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Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point: (...

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Q: Question 12 Suppose that k is a real constant such that all the tangents to the curve y = In(x2 + 1)...

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Q: (a) Find a power series representation for the following function. (Give f(x) = In(8- z) f(x) = In 8

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Q: Find the direction cosines and angles of u and show that cos2 four decimal places.) a + cos? B + cos...

A: Use direction cosine definition. 

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) ...

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Q: -1.5 lim f(x) = エ→2 lim f(x)%3= lim f(x) 一93 lim f(x) = ー4

A: Topic:-  graph of function and calculus

Q: Differentiate the function. f(x) = sin(x) In(4x) f'(x) =

A: ddxu(x)v(x)=v(x)ddx(u(x))+u(x)ddx(v(x)) ddx(sin(x))=cosx ddx(ln(ax))=aax=1x ddxu(x)v(x)=v(x)ddxu(x)-...

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

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Q: 3. r3D 0, 6ө > 0 34. r = 0², –2 < 0 < 2T 35. r 3 3 соs 30 36. r = -sin 50 37. r3 2 сos 40 38. r = 2 ...

A: Given

Q: Rewrite the following expression in terms of exponentials and simplify the result. cosh 5x+ sinh 5x ...

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. (R...

A: Find your answer below 

Q: Find the direction angles of the vector. (Round your answers to one decimal place.) u = (4, -6, -8) ...

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Q: ft A spherical balloon is inflating with helium at a rate of 200x How fast is the balloon's radius i...

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Q: The derivative of a continuous function f is given by In your notes, create an interval table then d...

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Q: 3. Find using implicit differentiation given that dr y secr - log(r² + y?) = e* + cot(ry).

A: To find the derivative of given function.

Q: dx dy =1.95. dt Given y = x. Find when y= 3 and %3D - - dt (Simplify your answer.) dt

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Q: Evaluate the lino integral y+ + (4+2-x>y +2が Where C consitts of line segments from 0,-,2) to (2,-1,...

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Q: An object moves with a constant acceleration of a=2m/s^2 without other forces intervening, one secon...

A: x(t) = x(0) +x'(0) t + 12 a t2a=2x(t)=x(0) +x'(0) t + t2x(1)=14 m14=x(0) +x'(0) +1x(0) +x'(0)=13  .....

Q: USing Inverse DiPfecren tial ofera tor to find Particular Solution of 9 -4Y = Cosh (2x -1) + 3 %3D

A: Based on the general formula of particular integral we will solve the question.

Q: Three forces with magnitudes of 420 newtons, 280 newtons, and 340 newtons act on an object at angles...

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Q: Use the product rule to find the derivative. f(x) = -2xex? %3D Please show all steps

A: To find the derivative of given function.

Q: f(x, y) = 3x³ – 2x² y + 5xy + 7y + 14 - Evaluate: %3D dxôy О а. -6х O b. 10y – 4x О с. 0 d. 9x + 7y

A: Given problem:-

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: Use the alternative form of the dot product to find u · v. ||u|| = 30, ||v|| = 50, and the angle bet...

A: Solution is given below:

Q: If f(x) = 8x* arctan(3x*), find f' (x). f' (æ) =

A: Answer is given below.

Q: Consider the following. = (3, 7), v = (4, 6) (a) Find the projection of u onto v. (b) Find the vecto...

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Q: | (r – 1)³ + 1, if x 2 1. Determine if g(x) = is differentiable at x = 2.

A: Checking continuity:=limx→2- g(x)=limx→2- (x-1)3+1  limx→2- g(x) =2Right hand side limit=limx→2+ g(x...

Q: Let y = xlog, (x) Then dy %3D dx

A: Given, the function                                  y=xlog5x then we have to find dydx.

Q: 3 Reverse the or der of intagration and do not evaluate. xp hp 0, 3.3 Show the region.

A: To reverse the order of integration and do not evaluate.∫01∫x11y3+8 dy dx  

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Rhoda is saving up money for a down payment on a condominium. She currently has $2571, but knows she...

A: Find your answer below 

Q: CHECK

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Q: dy dx = 4. dt Given y= 5x +2x, find when x = -3 and dt - - dy (Simplify your answer.) dt

A: dxndt = nxn-1 .dxdt

Q: Compute the second order derivative f"(x) for f(x) = 3x* -/x. %3D 36x2- 4x2 Ob.36x2 + 3/2 3/2 1 OC. ...

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Q: 6 Convert your original pair of complex numbers to polar form. D = 1-j2

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

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

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Q: A. Determine whether the graphs of the following are continuous or not. Write yes if it is. Otherwis...

A: To determine whether the given function is continuous or not.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: V12(-1)" 3" (2n + 1) 1. Consider the series n=0 (a) Use any test for convergence/divergence to show ...

A: Solve the following

Q: y sin x – xy = C

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Q: Consider the coordinate vectors (w]s -3 , (als 0,(Bs %3D 4. (a) Find w if S is the basis in {(3, 1,-...

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Q: explain to me details what is Distinguish Between Partial Derivative and Ordinary Derivative ?

A: Given

Q: Question 7 Suppose that f is differentiable on (-o, 00) and f(-1) = 3. If f'(t) >-5 for all te R, th...

A: Lagrange’s Mean Value Theorem : Let f be continuous over the closed interval [a, b] and differentiab...

Q: y'= (6x-2y-3)10 When 9polyg the vavable change u= - 6x-2y-3 the eqn converts 'into? Oa du = (-2u" + ...

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