√√√x²-9 Consider x³ what is the integral form in terms of? 1 A Scos²e de B Scos²e de Ⓒ-S sin²e de C) Ⓒ / S sin²e de D - dx. Using trigonometric substitution,

Q: a) Start by copying the graph of the inverse tangent curve onto your paper. Then label each plotted…

A:

Q: Given the integral [ cot³x csc5x dx. If u = cscx, then the integral can be re - written as: (a). f…

A: We will substitute u=cscx and then calculate the rest.

Q: Calculate the derivative. f(x) = 6-9x¹/3 +9e* (Use symbolic notation and fractions where needed.) (6…

A:

Q: dx 1-x² -2

A:

Q: f(x) = 2√3 x, g(x) = 2x − 4, y h(x) = 3x3. Encuentra el valor de cada expresio ́n. (a) (f ◦ g)(7),…

A: Given query is to find the value of the indicated function.

Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. y 0 4 5 16 7 8 9…

A: Given

Q: Evaluate the definite integral. NOTE: Enter the exact answer. | ti + t²³j|| dt = [

A:

Q: dx secx+1

A: Given ∫dxsecx+1We do half angle substitution:=∫1tan2(x2)+11-tan2(x2)+1dxSubstitute…

Q: Find T(t) and N(t) at the given point. X = = et cost, y = et sint, z=et; t = 0 T(0) = N(0) || =

A:

Q: Find the intervals on which the function is concave up or down, the points of inflection, and the…

A:

Q: H-w.4 Find the volumes for the following solids whose Weights are defined by Z(x,y) and bases are…

A:

Q: The equation of motion is given for a particle, where s is in meters and is in seconds Find the…

A:

Q: 2. Consider the following table of a periodic function h(t). t 0 1 2 3 4 5 h 4.0 5.25 6.165 6.5…

A: hmin =1.5hmax=6.5A)Midline:y= hmax+hmin2y=6.5+1.52y=4B)Amplitude:A=hmax-hmin2A=6.5-1.52A=2.5

Q: Question 5 Given the function: 5x 6 x < 0 ƒ(z) = { 5x 12 x 20 Calculate the following values: f(-1)…

A:

Q: Consider the integral f sin-¹x dx. If we let u = sin ¹x and dv = dx, the integral can be written as…

A: The given integral,  ∫sin-1x dx

Q: Write the first six terms of the arithmetic sequence with the given first term, a1 and common…

A: Solve the following

Q: If U, V,w are three vectors such that each is inclined at an angle of with the other two, and that…

A:

Q: [sin³ (2) cos(4) dx

A: Follow the procedure given below.

Q: a) Graph the function f(x)=x² + 2x b) Draw the tangent lines to the graph at the points whose…

A:

Q: X A b B a C) C D d is solved by trigonometric substitution, which of the following (b) x = √5 sec8…

A: We can solve as follows

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). X18 8118 3x² - 1 f(x) = Enter an…

A: The given function is f(x) = 3x2-1-x+3 We have to find the limit   ,    limx→∞f(x)    and…

Q: Find each limit, if it exists. +1 (a) lim x→∞0 x4 5 (b) lim x00x³ +1 5 (c) x³ + 1 lim x→∞0 x2 - 5

A:

Q: Q4: Find the derivative of the function at P。 in the direction of A 2 1) f(x, y) = 2xy-3y², P (5,5),…

A:

Q: QUESTION 12 dz State the multi-variable chain rule for if ди z=z(t. s, w), t=t(u, v), s=s(u, v), w=w…

A:

Q: B C D N Given: √-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms…

A:

Q: Evaluate Ic (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (9, -7)

A:

Q: = Consider the integral f sin-¹x dx. If we let u = sin¯¹x and dv dx, the integral. can be written as…

A: Explained below

Q: y = 1 V25-x2

A:

Q: y 8 6 4 2 y = 3x+1 2 J C 4 y = 8 - x 8 CO X

A: Given query is to find the area under the curve.

Q: 25 √x²√5 − x²dx = − x(5 - x²)(5 − 2x²)+² Arcsin(x)+c

A:

Q: The graph of y = f(x) has ƒ(5) = − 5, ƒ'(5) = 1, - - and f''(5) = - 1. Which of the following might…

A: Given query is to find the graph of the function.

Q: f(x) = 6(x-6)2/3 +8. (A) Find all critical values and list them below. Note: If there are no…

A: topic - functions and derivatives

Q: (3x-x²) dx x² Reciprocal Substitution

A: Let's find.

Q: Find the exact value of each expression by applying trig formulas (Addition and Subtraction…

A: We have to find the exact values.

Q: Question 6 Consider the function in the graph to the right. The function has a maximum of at x = The…

A:

Q: f(x) = 8x + 2x−¹

A: answer is in next step

Q: se the Law of Sines to verify that there is no such triangle that satisfies the given conditions: =…

A:

Q: The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving…

A:

Q: b) f4 sec 0 tan 0 do

A:

Q: icle generada a girar alred =et, y = 2et +1 0 <t≤ 1. dereje x por.

A:

Q: 9x Area bounded by the curves y=e*, y=e³x, x=0 and x = ln2

A:

Q: A company can buy a machine that is expected to increase the company's net income by $10,000 each…

A: Given Continuous annual stream function R(t)=$10000 time t=10 year  ; M=10 Rate of interest r=6%…

Q: (b) lim ∞04x x² x

A:

Q: Use the information given below to find sin (a-³). 12 tan a = with a in quadrant III I 5 3 cos B =…

A:

Q: 8 lim x-2+ x²-4 x→2+ X x-21

A:

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

A:

Q: Given the function f(x) = 3x - 7, evaluate and simplify the expressions below. See special…

A: The function is given by fx = 3x-7 To evaluate: The values of fa, fa+h and fa+h-fah

Q: Find the average value of the function F(x,y) = x³ex++ the region 05x≤2 and 0≤ y ≤ x². over

A: Given problem:- Find the average value of the function F(x, y) = x3 exy +(y/x)2 +(y/x)  the region 0…

Q: lim (2x²+x-1) 2-0 LIMIT VALUE: 2²-4 lim 2-0 2+8 LIMIT VALUE: LIMIT VALUE: 9-z lim 2-9 3-√√2

A:

Q: Use the given velocity function and initial position to estimate the final position s(b) Round to…

A: Given,  v(t)=3(1-e-3t)