d Q10 Compute [3t²] (a) 3t² (b) 6t (c) 0 (d) 9t

Q: Find the area bounded by the curvey = x² + x +4, the x-axis, from x = 1 to x = 3. 16 14 12 10…

A: To find the area bounded by given curves.

Q: 19x² tan¹x dx = [

A: The given integral is 19x2tan-1x.

Q: x ». Let g(t) be the function whose graph is given below. Let G(x) = g(t) dt, 0 ≤ x ≤ 5. Where does…

A: Given: Gx = ∫0xg(t)dt   , 0≤x≤5 To find: The point of maximum and minimum of G(x) and maximum ,…

Q: The average rate of change of f(x) = X a. 2 b. 0.5 over the interval 1 ≤ x ≤ 2 is c. -0.5 d. -1

A: we will find the required.

Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

A:

Q: ind the derivative of the function. y = e-7x In(4x)

A: y=e-7xln4xd dx(lnx)=1xd dx(ex)=exd dx(a.b)=adbdx+bdadx

Q: y-329 and recieved an incorrect mark. Also remember we are solving for Z so put the answer as an…

A: Given:z=7ex2-2y

Q: Find the value of x on the graph of y = x² where the slope is 16. (a) 4 (b)-4 (c) 2 (d) 8

A: To find the value of x on the graph of y=x2 where the slope is 16.

Q: Find a plane containing the point (-5,6,5) and the line Calculator Check Answer x (t) y(t) z(t) = =…

A:

Q: In evaluating 2₁3² (x³ − 1) dx, we make the substitution u O O x³-1 dx (x³ − 1) 3x²

A:

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A:

Q: A student drew the graph of y = f (c), y = f' (x), y = g(r), and y = h(x). Unfortunately, they…

A: Find the graph of y=fx and y=f'x.

Q: The graph of y=f(x) has f(5) = 1, f(x) has f(5) = 1, f'(5) = -1, and f(5) = -1-

A:

Q: 15 sin ¹√2x dx = [

A:

Q: b) lim x² +8x+16 X-1 x²-16

A:

Q: 10x3-8x4+2x3 2 2 X→0 15x4+3x3-5x Evaluate Lim

A: We need to find the given limit limx→010x43-8x34+2x2315x24+3x23-5x

Q: Determine if the limit lim (1+5x) 1+0+ exists, and if it does, find its value.

A: Given: limx→0+1+5x12x

Q: Sketch the region of integration and convert the polar integral to a Cartesian integral or sum of…

A: Please see the below picture for detailed solution.

Q: 5. If 3x²z+y³-xyz³ = 0, find az / əx. 6. Show that if w=f(r-s,s-t,t-r), then dw dw dw dr + + = ds ôt…

A:

Q: Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines…

A:

Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

A: Profit = Revenue - Cost

Q: . Evaluate the limit for the graph: lim f(x). |y4 4 a. 3 b. 2 2 -4-20 2 -2 -++-% x c. d. 5 does not…

A: We will find the required.

Q: Consider the following equations. y = x, y=x²

A:

Q: Solve Ч 3ху= 4'=45х +уз

A: Given differential equation:- 3xy2y'=45x4+y3

Q: Identify the open intervals on which the function y=9x-18 cosx, 0<x<2pi is increasing or decreasing.

A: A function y=f(x) is said to be increasing in an interval a,b if for everyx∈ a,b, dydx=f'(x)&gt;0.…

Q: Find a) any critical values and b) any relative extrema. 3 g(x)= = -x + 3x-6 a) Select the correct…

A:

Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

A: For the following demand function, to find  (a) E, and (b) values of q (if any) at which total…

Q: Determine if the series O n=1 n cos (n) 3+n³ converges or diverges and choose the option that…

A:

Q: 1 2 √x² x + 10x + 61 S -dx =

A:

Q: Use linear approximation, i.e. the tangent line, to approximate √16.2 as follows: Let f(x)=√x. Find…

A: Given: f(x)=x at x=16

Q: Find √ √1 + x²dx

A:

Q: Determine if the function f(x) = 2+2x– x³ satisfies the hypotheses of the Mean Value Theorem (MVT)…

A:

Q: 14. The domain of the function is y 4 2 -4-20 2 4 x

A:

Q: 4. Find the exact and the approximate value of x: 2* = 5*-1. Round answer to three decimal places. N

A:

Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

A: I have appended the formula used in the solution part of the question

Q: Consider the function ƒ(x) = −2x² + 8x – 3. f(x) has a critical point at x = A. Find the value of A:…

A: Application of Derivative

Q: Find lim f(x) if, for all x > 1, x → 00 4 12ex - 24 4ex X 3√x √x-1

A:

Q: The Third Gate You arrive at the third gate and look for the inscription. Your computer translates…

A: Given: Limits include an arbitary real number, c.Find the limits limx→c+33(x-c)2 and limx→c-33(x-c)2

Q: z is incorrect

A: We have to find the value of z (Round to 4 decimal)

Q: Express the integrand as a sum of partial fractions and then evaluate the integral. 10x² - 1 S 4 X X…

A: Given integral : ∫-10x2x4-1dx To find: The value of given integral using partial fraction. Let I =…

Q: In a certain city, the temperature (in degrees Fahrenheit) t hours after 9 a.m. was modeled by the…

A: Given:- Tt=50+14sinπt12

Q: 1. a. Consider the following graph of a continuous function f(t) on 0 ≤ t ≤ 10. 2 s(t) p/ 0 6 10 4…

A:

Q: Find the volume of the pyramid with base in the plane z = -10 and sides formed by the three planes y…

A:

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 9…

A: We will use standard method to change it into polar coordinate.

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A:

Q: Estimating the Amount of Paint Required A coat of paint of thickness 0.07 cm is to be applied…

A:

Q: Find the linear approximation to the equation f(x, y) = 3₁1/ approximate f(4.14, 2.19) xy at the…

A:

Q: lim x 8个 xxx 782_11x+67 cx87-67 lim ax87-11x+67 Cz87-67 lim x →∞ ar ax87-11x+67 cx82-67 =C =C =C

A:

Q: Find the distance from the point (7,1,-2) to the line ä(t) = (-5, 0, -2)t + (0, 3, 6). Calculator…

A: We have to find the distance between the point and line.

Q: Determine the derivative of each function f(x) = 3x³ + 2x² [K2] 1 b. f(x) = = = − 2x² [x2] x² c.…

A: