Express 9[cos(60°) - isin(60°)] in the form a + bi

Q: Consider the smooth parametric curve 6 defined by the equations t (t²-3) { 3 (t²- 3)' = = where t€…

A:

Q: The area of a rectangle is given by the function A(x) = 3x³ + 6x² + 4x + 8. If the length is defined…

A:

Q: The decay rate for a radioactive isotope is 1.6% per year. Find the half-life

A: Given that the decay rate for a radioactive isotope is 1.6% per year.Our Aim is to find the…

Q: 2. S (x²–5x+3)dx x3-4x²+3x

A:

Q: r an antiderivative of f(x). Do not enter +cas ver: +c

A: topic:- integration

Q: 1 ∞ Inxdr

A:

Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

A:

Q: Determine the equation of the normal line to f(x) = x³3.5¯³x at x = -1.

A:

Q: Given f''(x) = 4x + 5 and f'(-1) = 1 and f(− 1) = - 1. Find f'(x) = and find f(4)

A: Let's find function and it's value.

Q: ₁+∞ n(3x + 2)n n³ + 4 Given the power series Prove that the series is absolutely convergent when x =…

A:

Q: IV. Fill in the blank to make each statement true. Use correct notations. 12π ¹ (sin ¹25). = 1.…

A: We can solve this as follows:

Q: : x-2y+3z-1 = 0 and the line 1 : x = Consider the plane 1. Find the point of intersection of and 1.…

A: Given: x-2y+3z-1=0x=1-y2=z+1

Q: ) Find the derivative for the function f(x)=(7x+x+10) ³/2. Write your answer using positive and…

A:

Q: For the following exercises, consider a pizzeria that sell pizzas for a revenue of R(x) = ax and…

A: This question can be solved using the concept of maxima and minima.

Q: Which of the following equations describes the nth term for the sequence O (3) -1(9)*** 4 1 1 1…

A:

Q: bounded by x² + 2y = 4 and - Sketch the area x+y+2=0 and determine: d) area using using horizontal…

A:

Q: The slope of the tangent line to √x+y+√√xy = 2y at the point (2,2) is:

A:

Q: If f(x) = 1- log5 , then f-¹(x) =

A: Given that a function f(x)= 1 - log5x and we find f-1(x) .   Here i attached the solution of this…

Q: 5. S (2x²+1) x3-3x+2 dx

A: Here we have to find the integral.

Q: If y = 3u² + 2u and u = √² +5, fip S da would be: (6√2²+5+2)(√) (6 (3u² +2u) + 2)(√5) ○(3√2²+5+1)(√)…

A: We can find the derivative as below.

Q: 3. S 4 dx x3-4x²+8x

A: The given integral is; 4/(x3-4x2+8x).

Q: Solve the area bounded by the curve y = 4x-x and the lines x=-2 and y = 4. 12) Sketch of the curves:…

A: The given problem is solved below in detail.

Q: During the first year with a company, Finley was paid an annual salary of $56,000, with a 6% raise…

A: Given that, the annual salary is $56,000, the interest rate is 6% per year. Note that, the formula…

Q: Consider F(x,y,z)=(e³+e²²)₁²+(e¹+z)j + (2xze²²+y)k. Please answer the items below including all…

A:

Q: Find the area of the region bounded by the graphs of f(x)=x^3-x^2+10x and g(x)=-x^2+26x

A:

Q: What makes solving inequalities different from solving an equation with an equal sign? For an…

A:

Q: III. Consider a function f that is continuous everywhere except at x = 1. Given below is t table of…

A:

Q: Find the derivative of the function f(x) = e8+5x³. O f'(x) = 8+52³ O f'(x) = (8 +5x³) e³+5x³ O f'(x)…

A: To find derivative f'(x)

Q: Which of the following statements proves the series-128+96-72+54- O 2 is geometric?

A:

Q: Find the volume V of the solid of revolution that results when the region under the graph of f(x) =…

A:

Q: [2 2x log 2x dx

A:

Q: f(x, y) = x4 + 13x³y³ - 5xy4 + 14

A: Given: fx, y=x4+13x3y3-5xy4+14To Find: To determine ∂f∂x and ∂f∂y.

Q: For each positive integer n, define an = n² sin 1. Determine if the sequence {an} +∞ 2 n² n=1…

A: A sequence an is convergent if and only if limn→∞ an =L (finite) . Note : As per our Guidelines , we…

Q: 5. Given that f(t) = sint, t=0, t≥π/2 0≤t<π/2 find L{f(t)}.

A:

Q: Approximate the area under the curve y = x from x= x³ with 6 subdivisions. = 2 to 5 using a Right…

A: The curve y=x3 from x=2 to x=5 we have to find the area under the curve using Right Endpoint…

Q: Consider the following geometric series. 00 = n = 1 (-5)" 9n Find the common ratio. Irl 1 Determine…

A: Given, ∑n=1∞-5n-19n

Q: An oil spill is pouring oil onto a sea in the shape of a circle. The slick is growing at a rate of…

A:

Q: Solve the given initial value problem. y'' - 4y' + 3y = 0; The solution is y(t) = y(0) = - 1 2 y'(0)…

A:

Q: Q/ Evaluate the following integrals. S f sec40 tan²0 de

A: W have to find the integral.

Q: Evaluate: fre Hint: Use dyda as order of integration. ezz drdy

A:

Q: For which one of the following lines would the graph fall exactly on top of the x-axis? x = 0 y =…

A:

Q: Given f''(x) = - 36 sin(6x) and f'(0) = 6 and f(0) = 0. Find f(1) = [

A: Given the function f''x=-36 sin6x and f'0=6 and f0=0 use the integration formulas,…

Q: Suppose that a particle moves along a straight line with velocity v(t) = 13 - 5t, where 0 ≤ t ≤ 1…

A: Here the velocity function is v(t)=13-5t   , where 0≤t≤1 (in meter per second). We have to find the…

Q: 뿐 for the following: y = ln(e2z) 0 읊 ○ 2 Oezz ○ ez (In 2)

A:

Q: What is the equation of the rational function g(x) and its corresponding slant asy -10-9-8 O O O 7…

A: Given: Graph:

Q: A smooth curve C is defined by some vector function R(t) with R (7) 2 = = (π,0,−2) and R' (t) = (2,…

A:

Q: Given f(x) X-4 O[-4, 12) u (12,⁰0) 01-4,00) and gxx)=√x+4, what is the domain of f(g(x))? 0 (-∞0, 4)…

A: This question can be solved using the concept of domain of a function.

Q: VII. Let R be the shaded region below enclosed by the curves C₁ : 27(y-2) = 2(x - 1)³, C₂: x=4+√√4y…

A:

Q: Evaluate using Integration by Parts, substitution, or both if necessary. (Use symbolic notation and…

A: To evaluate the given integral.∫10x35x2+112 dx

Q: 10. Find function that satisfies the given conditions: f"(x)=6x³-3x+4, f'(1)=-3, f(1) = -6

A: The function satisfies the condition f''x=6x3-3x+4, f'(1)=-3, f(1)=-6 use the integration formulas,…