–3–9i -2–91 8. -2+7i 9. (–3+ 2i) (–6 – 8i) 7. 5-8i 10. (–2 – 2i) (–4 3i) (7 + 8i) -

Q: sec x2-1 1

A: Given problem:-

Q: Given x+ y +z= 5 and Po(2,2,1), find the following. (a) Find the equation for the tangent plane at t...

A: Here is the solution

Q: 3 2x – x 1 dx = - arctan(x) – x - 1 -- In \x – 1| + 2(x – 1) 1 + C - (x – 1)²(,² + 1) 2

A: In order to evaluate the integral, firstly we need to split it into partial fraction and then integr...

Q: A common complaint about income tax is "I can't afford to work more because it will put me in a high...

A: Answer to given problem is shown below - 

Q: VT VT "cos(x?)dxdy? What is the reversed order of integration of "y O a. cVT X cos(x²)aydx 0. O b. V...

A:

Q: A parametric representation of the curve of intersection of the two surfaces x2 + 5y2 - z = 0 and 4y...

A:

Q: For the given function f(x), determine the equation of the tangent line at the point P(1,1) f(x) = v...

A: Equation of tangent line

Q: The separable equation dy/dx=xy2 admits a constant solution equal to (x)=0. Is it True or False?

A:

Q: Consider the following functions. f(x) = x and g(x) = x² – 10 %3D | Step 3 of 4: Find (fg)(-2). Answ...

A:

Q: find the critical valves of f(x)= 3x?

A: We can find the critical values as below.

Q: Find the derivative of the function using the power rule.(5 pts each) (a) f(x) = 3/5x5 − 4x −4/3x-3 ...

A: a.

Q: Let W = F(x , y, z) = xy + yz + xz , where x(t) = 3 + sin(2t -4), y(t) = t2 and %3D dW z(t) = 3 - t....

A: Derivative using product rule

Q: ketch the region enclosed by the given curves. x 6y2, x 4 + 5y2 y 20 15 10 10 15 20 O-21 20 15 10 15...

A: Given curves are x=6y2 and x=4+5y2 Sketch the region and find the area

Q: Let R be the region bounded by the rose curve, r = 6 cos(60) as shown in the diagram below. Find the...

A:

Q: The graph of the equation 2x² + 3y² + 12x – 12y + F = 0 is ether an ellipse, a point or an empty set...

A: In this question we have to find the condition for F.

Q: dz If Z = x' sin(y), x = s²t³ and y = s°t2, %3D ds a) None of these b) 6st³ x² sin(y) – 3s²t²x³ cos(...

A: Given query is to find indicated derivative.

Q: Determine whether the series is convergent or divergent. n - 1 5n - 1 n = 1 convergent divergent If ...

A: Given:    Limit equations is given

Q: 1. The product of two numbers is 24. Find the numbers if (a) the sum of the two numbers is minimum, ...

A:

Q: 14. Evaluate * lim,-> 2-5x

A:

Q: Find y" il y= (r+ 1)² + VE when t= 1. O a.1.75 Ob.3.5 Oc.225 Od.2.25

A:

Q: Find the slopes of the curve y =y? -x at the two points shown here. V3 The slope of the curve y = y2...

A:

Q: n! h) E п n3' n=1

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: A price p (in dollars) and demand x (in items) for a product are related by 2x - 5xp + 50p2 = 21,200...

A: We need to find rate of change of demand.

Q: Given: sin A = ! and cos x = - -á; evaluate the following expression. %3D (A: Quadrant I, x : Quadra...

A:

Q: The length of an arc of a polar curve r = f(0), a < 0 < b, is given by the formula: %3D Find the len...

A:

Q: Set up the integral to find the length of the curve f(x) = V1 – 2? for 1/v2 <x < 1.

A: Please see the answer below.

Q: Find the first five terms of these recursively-defined sequences: 9. a1 = 2, an = 2an-1 - 5

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: The graph of the equation 2x2 - 5y? + 12x+ 20y+F=0 is either a hyperbola, a point or two intersectin...

A: The graph of the equation, 2x2-5y2+12x+20y+F=0, is either a hyperbola, a point or two intersecting l...

Q: Current Attempt in Progress = Write out the first four terms of the sequence (1+ (-1)"). starting wi...

A:

Q: By recognizing the series ((1/2)) ((1/2))² ((1/2))³ ((1/2))" + ... +(-1)"+1, +.. 3 n as a Taylor ser...

A:

Q: The trough shown below is full of water. How much work does it take to pump all of the water out of ...

A: This question can be solved by applying the concept of  Work done=∫F.ds

Q: 1. When is separation of variables applicable?

A: (1). . When is separation of variables applicable?

Q: x = -30°, cos 2x = 1 - 2 sin2 x 1 + 2 sin 2 x 1 - 2 sin 2 x 1 - 2 sin x 1 + 2 sin x

A: This question is based on Proving a Trigonometric equation.

Q: In how many ways can ten people be seated around a circular table if three of them insist of NOT sit...

A: Given problem:- In how many ways can ten people be seated around a circular table if three of them i...

Q: g) g(x) = (2vx – 1)(VF+3)

A: Given query is to find the derivative of the expression.

Q: Suppose æ = 6, 0 = 15° and o = 75° in the figure, which is not drawn to scale. Find the following. (...

A:

Q: find the relative extrema of f(x)=32x^2-4x^3. find the critical values and include a sign chart

A:

Q: 9. What is the slope of the curve at the given point? 5x? + 2xy – y = -3 at (,2)

A:

Q: Using Maclaurin series, determine to exactly what value the series converges. Σ (In(5))" n! n=0 (Use...

A: Maclaurin series  : f(x) = ∑n=0∞ fn(0)n! xn = f(0)+f'(0) x +f''(0)2!x2 + f'''(0)3!x3  + ...

Q: e lan-1n Σ n=1 n + 1 2

A:

Q: In constructing an open rectangular box from 588 ft of material, what dimensions will result in a bo...

A: Given problem:- In constructing an open rectangular box from 588 ft² of material, what dimensions wi...

Q: B. If k is any real number, prove or disprove that sinkx 1. lim x-0 kx = 1.

A: We will prove this by L'Hopital's rule

Q: 1-coskx 2. lim = 0. kx

A: We have to find the limit of the function (1-coskx)/kx when x tends to 0 . 

Q: Compounded semiannually The principal represents an amount of money deposited in a savings account s...

A: Given : Principal : $8000 Rate = 2% Time = 5 years  

Q: Solve : 33+8 = 92+8 x = -8 x = 24 x = 0 x = -24 O x = 16

A: Consider  33x+8=92x+8

Q: 9. What is the slope of the curve at the given point? Sx² + 2.ry – y² = -3 at (.2)

A:

Q: If x + y* + z - 2z = 1, then a) None of these b) 3x²+4y3 2-3z2 c) 4y3 2-3z2 d) 4y³+3z? 2

A: Given query is to find indicated derivative.

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the fun...

A:

Q: A space probe in the shape of the ellipsoid 16x +y + 4z = 20 enters a planet's atmosphere and its su...

A: According to guidelines we solve only first question. 

Q: Suppose that the graph below is the graph of f'(x), the derivative of a function f(x). Find the open...

A: