B. Find the slope of the curve at the given point. 1. y = 4 – 3x2 at (-1, 1) 2. y = x2 – 5 at (1, -4)

Q: Find all the real zeros of the polynomial P(x) = x +x - 3x + 1. -1 Its real zeros are x¡ = , X2 = an...

A:

Q: Evaluate the integral. HINT: [Use a shortcut.] '5 3x dx x2 + 4

A:

Q: Suppose the graph of f(x) is given. Describe verbally how the graphs of the following functions can ...

A: a. fx+4vertical shift up 4 units. b. fx-4Horizontal shift right 4 units.c. 4fx vertical stretch d. f...

Q: The matrix A=[7    k]      [-8 −4]   has two distinct real eigenvalues if and only if k<_____ (Find...

A:

Q: Calculate the amount of concrete required to cover the curved part of a pipe with a diameter of 50 c...

A:

Q: x cos x + sin x Find x sin x *xp-

A: Evaluate the following.    ∫xcos(x)+sin(x)xsin(x) dx

Q: Figure 2: The three faces are labeled - including the third 'outer face'. If there are no areas encl...

A: Let us make two claims and then prove it with reasoning: Claims:

Q: 2. Let C be the graph of the equation In(3y – 2e*) = sinh (Tx) – tan(y – 1) dy (a) Find dx (b) Find ...

A:

Q: 2x +6, r 6 is continuous at I = 6. Justify the conclusion. (i) f(6)=| (ii) lim f(x)= (iii) lim f(x)=...

A:

Q: A. The population is 900 in the beginning and grows by 350 people each year for 20 years.

A:

Q: 8

A:

Q: Decide which of the following properties apply to the function. (More than one property may apply to...

A: Given the function y = 2e-x It is an exponential function.

Q: (a) | (2x cos y + sin x) dx 6. */2 (b) I| (2xcosy+ sin x) dx dy

A: Solving integral 

Q: 3. Determine if f is differentiable at x = 0 given that -1 4 cos if – 2 0, x + 1 (x-1)6'

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. x = t3,  ...

A:

Q: r(x)=(6−x)3 Step 1 of 2 :   Determine the more basic function that has been shifted, reflected, str...

A: Solved below

Q: cos? r dr ? 1+2? The improper integral since, cos z A. 1+z2 1 for z>1 and / 1 dz 1 +1 r2 + 4 cos z c...

A: The objective is to find the correct option.

Q: Differential equations ydx + (2x – ye")dy = 0 has an integrating factor µ(x, y) = x"y" for constants...

A:

Q: Evaluate fx²e¬*dx A. -x2e-x – 2xe-x – 2e-x+c B. x²e-x – 2xe=x – 2e-X+C с.-х?е-х — хе-х- 2е-х+с D. x²...

A: ∫x2e-x dxBy using integration by parts=x2∫e-xdx -∫2x∫e-xdx=-x2e-x+2∫xe-xdx

Q: + y*)dx dy B. 19/2 Evaluate A. 35/2 C. 37/2 D. 17/2 A

A:

Q: Express the repeating decimal as a fraction in lowest terms. 62 0.62 = 100 62 62 + +... 10,000 1,000...

A:

Q: Richard's Rocks sells decorative landscape rocks in bulk quantities. For quantities up to and includ...

A: The price function should be a continuous function. Hence at x= 500 both the functions must be equal...

Q: 2. A farmer has 120 yards of fencing to form two identical rectangular pens and a third pen that is ...

A: First find perimeter then solve for area

Q: (b) Which of the following could be graphs of the function? Choose all that apply. O population year...

A:

Q: Determine the area of the shaded region, given that the radius of the circle is 2 units and the insc...

A: In this question we have to find the shaded region.

Q: Use the method of cylindrical shells (for all parts) to set up an integral (without the absolute val...

A:

Q: Find all the eigenvalues (real and complex) of the matrix A= [1   2]      [-3  -1]

A:

Q: ometric series and find its sum. nd 24. 2+2(0.1) + 2(0.1)² + …· + 2(0.1)25 ....

A:

Q: Determine the total work, by Green's theorem, done by the force field F(x, y) =, on a particle follo...

A:

Q: Can Mean – Value theorem applied for the following function - on the indicated closed int erval ? If...

A: The objective is to check that can we apply mean value theorem for the function on the indicated clo...

Q: x(x – 2)y" + 2(x – 1)y' – 2y = 0

A: Solution: x(x-2)y"+2(x-1)y'-2y=0 Solve using the series method: A linear homogeneous ODE with consta...

Q: Consider the following tables: -2 -1 1 2 3 f (x) 2 5 -3 4 -101 -2 2 g (x) 5 4 1 2 Fill in the blanks...

A: topic - composite functions

Q: 1. Determine el área encerrada por la elipse + = 1 y? 25 2. Determine el área de la región bajo la c...

A:

Q: 00 1 -dx x3 – 1 1 4

A: Use the definitions of improper integrals to write the improper integral in terms of limits.

Q: What are the advantages and disadvantages of piecewise polynomial interpolation?

A:

Q: Evaluate the integral ,(x2 – 2y²) dA, where R is the first quadrant region between the circles of ra...

A: Given

Q: Solve the following equations: (You may leave your answer in exponential form or logarithmic form). ...

A:

Q: Find f. f '''(x) = cos(x), f(0) = 9, f '(0) = 8, f ''(0) = 5

A:

Q: II. Solve the following problems. 1. Find the equation of the ellipse with foci at (-2,0) and (2,3) ...

A:

Q: Find an equation of the tangent plane to the surface at the gi g(x, y) arctan (3, 0, 0) %3D

A:

Q: Find h'(-2) if h= fog. f(z) = 372 + 8 and the equation of the tangent line of g at-2 is y= 4x 6.

A: Here we have to find h'(-2) if h=f∘g , g(x) =3x2+8 and the equation of the tangent line of g at -2 i...

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use Cc for the constant o...

A:

Q: Find the average value of f(r) =x-4 on the interval [1, 5]. Give the exact answer in the simplest fo...

A: To Find : Average value of the function f(x)=x-4 on the interval [1,5]   Note : The average value of...

Q: (a) Express sin(2 cos-1x) in an algebraic form. Furthermore, sketch this function and find its domai...

A:

Q: A statement S, about the positive integers is given. Write statements Sk and Sk+ 1, simplifying stat...

A:

Q: Find the area enclosed by the curve  x = t2 − 2t, y = square Root(t) and the y-axis.

A:

Q: Find

A:

Q: 3 Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = :-1 %3D 1- 2x Provid...

A:

Q: Complete the following unit circle: 1) Write the coordinates of each point on the unit circle 2) Wri...

A:

Q: the Standard iom TocI. he standal the equation (Type an equation. Simplify your answer.) (-1,1) -4

A: