Find the limit of the following. lim 0/6 lim 9/¹ 0 sin 9- 0 0- sin 0- T 6 1 2 T 6 1 2 ...

Q: 5x (ye³x + x³y +y) dy +(²2_y²e²= 3 x + ²/2/2 x²³y² + x²³)dx=0

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Q: (x -y In (y/x)) (vy-y In(y/vy)) --> (vy - y In(1/v)

A: let x=vyx-yln(y/x)put the value x=vyx-yln(y/x)=vy-yln(y/vy)

Q: A function is given f(t) = 3t2;    t = 4, t = 4 + h Determine the net change between the given…

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Q: Evaluate the integral. (Use C for the constant of integration.)       x2 + 4x + 1 (x2 + 1)2 dx

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Q: Suppose Find the value of b. b=_ lim x+4 2²+bx+c = 7. - 4 8

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 6 √x dy = y = 9√√x +

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Q: Determine the differential equation on which the general solution is y=cos(A+Bx). A (1-y2)y"+yy'=0…

A: Topic = Differential equation

Q: x - sin ((x − 3)²) x² + 1 is defined near x = 3 but not at x = 3 and satisfies 2. Let f(x) = "" let…

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Q: Which of the following = differential equation y' Show your solution A. y = 5 tan is the particular…

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Q: iven the function f(x) = (x²-1)/(x-1), determine if the function is continuous or not for all the…

A: Given: f(x)=x2-1x-1

Q: Consider the function y = f(x) = x² + 4x + 4 and the x-value xo 8. (a) Find a formula for the slope…

A: Topic- slope of a tangent line we are given a function, f(x)=x2+4x+4 and x0=8

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = -2x³ f(x)=

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Q: Which of the following correctly gives the Cartesian form of the parametric equations x(t) = -2t - 5…

A: Here we have given two equations: x(t)=-2t-5        ...eq(1) y(t)=t+4   ...eq(2) From eq(1), we…

Q: A circular walkway is to be built around a monument, with the monument as the center. The distance…

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Q: x²y' = 4x² + 7xy + 2y²

A: We use homogeneous method to solve the given differential equation.

Q: Find the intersection of the plane - 6x + 6y + 2z = 80 and the line 7'(t) = (8, 6, 5)t + ( − 7, 4,…

A: Topic- point of intersection of plane and line we are given equation of plane :-6x+6y+2z=80 equation…

Q: Find a plane containing the line r(t) = + t and orthogonal to the plane - 5x – 2y – 2z = − 4.

A: Given that the line r¯t=7,-8,8+t-3,6,1 and the orthogonal plane -5x-2y-2z=-4.

Q: Let f(x) = x² - 64 x - 8 Complete the table below. Round all table values to four decimal places, if…

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

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Q: 423. ex √1-e²x -dx

A: The solution of required questions has substitution

Q: could  show the solution of the    (Round your answer to three decimal places.).   and.  Find an…

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Q: Slope of tangent line F(x)= 3x+8

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Q: Find the solution to the given (y+x³y³)dx+xdy = 0₁

A: y+x3y3dx+xdy=0

Q: Find the Taylor polynomials of orders n = 0.1,2,3. and 4 about 2 = 20 and then find the nth Taylor…

A: Let the given function be fx=ex.We need to find its taylor series around the point x0=3.

Q: Find an equation of the plane passing through the points (-1,2,0), (2, 3, 6), and (-1, 0, 2). Use…

A: Equation of plane passes through three point using vector operations

Q: Find the absolute maximum and minimum, if either exists, for the function on the indicated interval.…

A: The given function fx=x4-4x3+10 we have to find the value of absolute maximum and absolute minimum…

Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the…

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Q: Refer to the graph of y=f(x)=x² + x shown. a) Find the slope of the secant line joining (-3, f(-3))…

A: The function is given by fx = x2+x The formula of the slope of the line joining x1, y1  and x2, y2…

Q: x)=(x-7)e - 6x f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 6 √x dy = y = 9√√x +

A: Formula we use d(xn)=nxn-1dx. d(f+g)=d(f)+d(g).

Q: Find the absolute maximum value on (0, co) for f(x)=3-12x-- Select the correct choice below and, if…

A: To find the absolute maximum.

Q: Problem 9: Find the reduced row echelon form of each of the following matrices: 2. -1 r-2 3 -3 0 ON…

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Q: The price p (in dollars) and the demand x for a particular clock radio are related by the equation…

A: Topic- function and application of derivatives we are given,p: pricex: demand of number of clock…

Q: (B): use the directional derivative to estimate how much f(x, y) = cos(xy) + xy² Will change if the…

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Q: points) 0³y əx² ət A B C (D) <- 11 y t x E) V 0² dx² 0² ət ox vt 3uxy +=0

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Q: 3

A: The given integral is s 4∫0∞x21+x4dx Beta function is defined as Bm,n=∫01xm-11-xn-1dx

Q: Differential Equations:  Solve the following problem for y(t). dy/dt + 2y(t) = 2x(t);    x(t) = u(t)…

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Q: For which value of c, the limit lim f(x) exists? x→6 C = f(x) = 6x + c -4x+7 if x < 6 if x ≥ 6

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Q: Suppose the demand for a certain item is given by D(p) = -4p²-7p+ 300, where p represents the price…

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Q: Find the length of the following two-dimensional curve. π r(t) = (5 cos ³t, 5 sin ³t), for Osts L=…

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Q: Find the reference angle, R in DMS and in radians. Draw the angle (label completely In DMS, whole…

A: Solution is given below:

Q: K x²-1 Let f(x)= |x-1 (a) Make tables of the values of f at values of x that approach x= -1 from…

A: Please see the below picture for detailed solution.

Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

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Q: (a) Evaluate the following. If the limit does not exist, explain why. lim f(x) = 3 4-0 lim f(x) = 1…

A: Graph of the function is given, we have to find the given limits.

Q: Evaluate the limit using the Squeeze Theorem as necessary. (Use symbolic notation and fractions…

A: Let's find limit of given function.

Q: ← If √7-6x² ≤ f(x) ≤ √7-x² for -1 ≤x≤ 1, find lim f(x). x->0 lim f(x) = x-0 (Type an exact answer,…

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Q: find se the formula = lim dy dx || = dy dx dy dx Ду = lim Ax-0 Ax Ax-0 3x² - 4x. when y ƒ(x + Ax) −…

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Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 9ti −…

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Q: ← Find f'(t) if f(t) = -4t² +9t+3. f'(t) = K

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Q: Let 8(t) = 8+³ + 36t² + 48t be the equation of motion for a particle. Find a function for the…

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