Perform the operation and write the result in standard form. 3 4 1+i 1-i 7. +

Q: Evaluate the first derivative of the following functions: g(x) : = cosx – sinx f (x) = 4x²cosx g(y)…

A:

Q: dx 4. x²+4x+13

A:

Q: Find lim x→9+ x – 9 Enter I for o, -I for -o, and DNE if the limit does not exist Answer:

A: Given query is to find the Indicated limit.

Q: First find f' and then find f. f"(x) = 10x³ + 2x? – 5x – 7, - f'(1) = –6, f(1) = -3. f'(x) = f(x) =

A:

Q: The x-intercepts of f(x)=x°+ 11x²+ 10x are: %3D O a. (0,0), (1,0) and (10,0) O b. None O c. (-1,0)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Evaluate the definite integral. 13 i+ej+t k dt O e13 – 1 -(61 -1) + 1 13 e13 i- (e- - 1) j+ 1 13 2…

A: We have to find the integral

Q: 'ind the linear approximation of F(N) = AK N, about N = 1 %3D

A:

Q: Find the first partial derivatives of the function. f(x, y) = (e* + e)3 f, = fy =

A:

Q: y 6 4 3 2 -4 4 5 -2 -1 -1- 12 3 Find the value of the indicated quantity if it exists. lim f(x) 1.…

A:

Q: Compute the general term an of the series with the partial sum Sn = 2 n + 2 , п> 0. 2" %3| - An =

A:

Q: 4 Find the limit lim 3 Enter I for oo, -I for -o, and DNE if the limit does not exist. Answer:

A:

Q: x =r' +1, y=r -t d'y d’y b) Find dx?

A: Given: x=t3+1 and y=t2-1

Q: Find f. f "(x) = 1//1- x?, () - = 2 f(x) =

A:

Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 4, 3) %3D…

A: Apologies for the inconvenience.   #b) In part #a) we have found that, the direction ratio of the…

Q: Activity 1.1 Evaluate the required function values and the indicated limits using the given graph of…

A: Here we have to find the values by observing the graph.

Q: Calculate the total area of the curve y=x' and the x-axis between x-2 and x=-2. O 8 sq units 11 sq…

A: The given bound region is: Now taking vertical elementary strip; So, the area of the strip from the…

Q: In a study of children, a total of 1,560 children were examined. Of these, 1,018 had rickets. Of the…

A:

Q: I, Let dlP) S-a). End fIt) Sta

A:

Q: How much will a person pay for 4.5 pounds of bananas at a price of $2.29 per pound? alars. The price…

A: I am attaching image so that you understand each and every step.

Q: The cost of producing q units of good is C(q) 0.1q2 +3q+ 100 pesos. The firm can sell q units when…

A: This question can be solved using the concept of derivatives and rate of change of quantities.

Q: II. Given the function g defined by g(x) = -* if x*-2 4. if x=-2 Find the value of the indicated…

A: at x=-2, function is defined as:g(x)=-4;       if x=-2ANSWER 14:g(-2)=4

Q: Select the answer option that corresponds with polar coordinates (2, ). 90° 2 135° 45 150° 30 15° 12…

A: We can find the answer as below by naming the coordinate.

Q: Find all solutions to the equation cosx cos(3x)- sinx sin(3x) = 0 on the interval [0,27]. %3D O A. x…

A:

Q: f(x) = x-1(x² + 1)vx %3D

A:

Q: Solution Set -20 -10 20 -10 20 Say whether the region is bounded or unbounded. The region is…

A: The region that corresponds to the given inequality,10x+5y≥505x+10y≥505x+5y≥40x≥0, y≥0

Q: Suppose there is no known formula for g(x) but we know that g (2) = - 1anc; g^ prime (x)= sqrt x^ 2…

A:

Q: Consider the function 70 - 3 f(x) = 22 — 2х — 63 Find the vertical asymptotes of f(x). Separate…

A:

Q: 13. Evaluate the given integral, ſ t (t² – 9)i: A. (1² – 9)* + e 3 . (t2 -9)호 + c В. 3 C. · (t² –…

A:

Q: (d) 2. +2 = 0 (e) In enz – 1ln r - 4 = In 3 |

A:

Q: If A = 3 B = | J, c = ; ) II. [X1 X21 [x3 X4]' And X= Solve each of the following equations: 1. (d)…

A: Here we have to use the matrix operations.

Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° WIN 4 150°…

A:

Q: af If f(x, y) = (18x - y)°, then is given by: 45 | 11 45 9. - 0-#(18z-유y)' 45 9. 45 O 1(18x 9. 11

A:

Q: i 1 2 3 4 0.25 0.5 0.75 1 f (x) | 0.000|| 0.060 | 0.172 | 0.159 | 0.050 (a) Sketch the area…

A: Let's find.

Q: 4. y = (8x*- 5x2 + 1)* 5. g(t) = -3V7t3 – 1

A:

Q: Simplify cos2θ*(1+tan2θ)

A:

Q: dx V5+4x-x² 5.

A: We have to solve question  5

Q: (1) Find an equation of the tangent plane to the surface at the given point. f(x, y) = x? – 2xy +…

A:

Q: Find the distance from the point (3, 4, -1) to the plane lr 3y +2z = 5.

A:

Q: Find the equation of the following hyperbola. Express your answer in standard form. Enable Zoom/Pan…

A:

Q: Select the answer option that corresponds with polar coordinates (4,-120\degree). 90° 2 W/2 150° 45…

A: Option

Q: 4 Find lim cos C→十0 Enter I for o, -I for –∞, and DNE if the limit does not exist. Answer:

A: Topic = Limits

Q: Find the arc length of the parametric curve. x = e', y = e, z = /2t; 0<t<7 L=

A:

Q: Find the first partial derivatives of the function (x, Y) = x/1+ y

A: topic - partial differentiation

Q: An Olympic athlete set a world record of 9.65 s in the 100-m dash. Did his speed ever exceed 37 km /…

A: Given : Time =9.65 s Distance =100m

Q: Se° cosh@de

A: We have to find the integral

Q: Choose the point which shows the correct location for the polar coordinate (3, 625*). so 90 WI2 4…

A: The given diagram is:

Q: The Pacific halibut fishery has been modeled by the differential equation dy dt where y(t) is the…

A: dydx =ky1-yM⇒y' =0.72y1-y9· 107⇒y=-90000000e0.72t+c11-e0.72t+c1

Q: Find the area of the parallelogram with vertices (1,2), (4, 5), (7, 10), and (10, 13)- Answer:

A: I have shown magnified diagram

Q: Find the derivative of each function defined as follows: 1. m(t) -6t(5t* – 1)* 2. y = (x³ + 2)(x² –…

A: As you have asked for question numbers 4 and 5 only, so I am solving those only. Thank you.   We…

Q: x +6x, xa everywhere.

A: A function g(x) is continuous at x=a if and only if limx→a- g(x) = limx→a+ g(x) =g(a) .