Find the linearization L(x) of the function at a. 3 f(x) = Vx, a = 64 %3D L(x) =

Q: What is the particular solution to the differential equation y -2x 3y2 – 2 with y 1 when dy x= 1?

A:

Q: 1 If the given values in a right triangle are cos A = * and a = 2, find the hypotenuse c 3/2 2/2 D. ...

A: For the solution follow the next step.

Q: tly as the square of x and inversely as y. (z = 36 when x 2

A: We have to choose the correct option according to the given information

Q: Determine the equation of the parabola whose graph is given below. Write the equation in general for...

A: Solving the problem by finding the equation of the parabola.

Q: . Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of rad...

A: Given problem Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 1...

Q: Find the radius of convergence of the power series. (If you need to use o or -00, enter INFINITY or ...

A: Solve by series 

Q: find the inverse of matrix B= -87 to

A: Inverse of the matrix can be calculate by finding adjoin of the matrix and determinant of the matrix...

Q: Verify the inverse function theorem of y = Vx +2

A:

Q: a. A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 104.5...

A: This is a problem related to the arc and angle of the circle. By using relationship of the arc, angl...

Q: varies directly as the square of x and inversely as y. (z = 36 when x = 9 and y = 3.) 4x2 Зу 3x2 z =...

A: Topic = Algebra

Q: ху - Зу - 7x +21 lim (Simplify your answer.) x- 3 (x.y)-(3,2) X+3

A: First we take fraction then take limit. 

Q: C. Evaluate the following limits. (x+2; x>-2 [2x; x - 3; x >-1 x<-1 Given: f(x) =- Given: f(x) = < |...

A:

Q: Q5: Find the zeros of the function- all real values of x such that f(x) = 0 a) f(x) = x² + 2x + 3x +...

A:

Q: d-n Let c and d be two positive numbers, and a, = (1 + Use the strategy from Example 8 (on page 583)...

A:

Q: Construct a frequency distribution table and  Show solution. Compute the following: a. Class Bound...

A:

Q: S 4 (;- e-) cos (e-z + Inz) dz A 4 sin (e¬z + In z) + C sin (e¬2 + In z) + C B 4 sin ( – e-²) + C si...

A:

Q: ting factor for the given differential equation is

A:

Q: differential equations solve by bernoulli differential equation xy=(x^2+2y^2)y'

A:

Q: et Which statement is true regarding the integral dx ? O The integral diverges. O The integral conve...

A: Topic = Integration

Q: x2 – 1 Suppose f(x) Fill in the blanks x + 17 below. (Note that it is common to say a limit "has a v...

A: solution:-f(x)=x2-1x+17(a) limx→∞f(x)=limx→∞xx-1xx1+17x=∞(b)limx→-∞f(x)=limx→-∞xx-1xx1+17x=-∞(c)limx...

Q: dy 62y – 16 Consider the integral This can be transformed into a basic integral by letting u = and d...

A: We have to solve the integral 

Q: ƏN 10. =? (a) y (b) —у (c) 5y² + y³ sin y (d) 5y² – y+ y³ sin y

A: Topic = Derivative

Q: S sec? (4t) (3 – tan(4t))³dt A (3 – tan (4t))* + C 4 1 (3 – tan (4t))* + C 16 1 (3 – tan (4t))ª + C ...

A: ∫sec2(4t) (3- tan(4t))3 dt Substitute u = 3- tan(4t) dudt= - 4sec2(4t) dt = -14 sec2(4t)du= -14∫u3du

Q: Question: Find the derivative. 1+ vi

A:

Q: Find the inverse function of f(x) = V36 – x²,0 sx 6. %3D f-'x) = V36 + x², 0 < x < 6 O f-x) = 36 + x...

A:

Q: 6. * S sin*x cos3 x dr sin x sin'x + C 7. C sin x sin'x 7. B sin5x cos'x + C sin x cos'x + C 7. O A ...

A:

Q: The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airp...

A: Topic = Algebra

Q: Find the derivative of y = arctan² (x³)

A: This is a problem of differentiation of the function. Based on general formula we will solve this pr...

Q: The orthogonal projection of v = 10i on b = -3i + jis <

A:

Q: B. Compute f'(1) for each of the following functions. a) f(x) = 5x + 3 b) f(x) = x² – 4 %3D

A:

Q: Differentiate the functions

A: As per our guidelines we are supposed to answer only one question i.e. the question no 17. For the s...

Q: Tπ L2 sin3xdx Tπ 4

A:

Q: 1. x² – y² = 8

A:

Q: 23)

A:

Q: 8. A race involves 10 participants. In how many ways can 14, 2nd, 3rd and 4th place occur? In how ma...

A:

Q: State where the power series is centered. E nx" n= 0

A:

Q: 7n*-5n³+21n+40 8n³+11n²-32

A:

Q: 0-Find (o cow フ .ce メ1 me for Pollowing function? W=xet2- xャト+ー6 +2²=6

A:

Q: Find and sketch the level curves f(x,y) = c on the same set of coordinate axes for the given values ...

A: This is a question of curve plotting of the function for different value of c. Given equation is of ...

Q: d²y 4 - 5y = 0, suppose the solution has the form y = ex. Let ax dy Find the Characteristic Equation...

A: characteristic equation and roots

Q: What could be an integrating factor in solving the differential equation (1 +x*)+(1-x)y = xe* ? +(1–...

A:

Q: Find the directional derivative of the function at the given point in the direction of the vector v....

A: g(s, t) =st(a) The gradient is just the vector of partial derivatives. The partial derivatives of g ...

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. (...

A:

Q: *The Chain Rule of Differentiation A. Directions. Decompose the follawing functions and complete the...

A: 1)  y=(4x-7)3Solution: u = g(x)u  = (4x-7)_______________y = f(u)y= u3

Q: 21. The complementary solution, y., of the equation y" + 2y" + y = 10 is %3D (a) y. = Ce- + cze- + C...

A:

Q: y(x y)dn-x (x³+y) dy =0

A: Let's find. 

Q: 3x? – 17x + 20 lim 44x2 - 25x + 36 Vx+5-2 lim x+1 Vx2 + 3 - 2 lim --1 x2 - 1

A:

Q: S sin*x cos³ x dx sin³x sin'x + C 7. C sin*x__sin'x 7. B sin x cos'x. + C 7 sin x cos'x - + C 7. O E...

A:

Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answ...

A: gx=x2+4x23,  -7≤ x≤8

Q: Find the trapezoid approximation of V1 +x dxusing four subintervals. o T4 = 2VT + 0.25 + 2/1 + 0.50 ...

A: