Q9: The Law of Sines ( a) Given: B = 10° C = 135° c = 45 Find: A-? a-? b-?

Q: The law of Sines. b) Given: A= 36° a = 8 b=5 Find: B-? C-? c-?

A:

Q: Suppose 8 3n f(x) = n! (x - 7) n n=0 7 To determine So f(x) dx to within 0.0001, it will be…

A: We have to find the value of integral.

Q: Describe all of the operations involved in (a - b)(a c) — 2ã · (b × c) - Explain whether the final…

A:

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. 3 X 1 1 /=…

A: Given problem:- Find the area of the surface generated when the given curve is revolved about the…

Q: Consider the function f(x) = (x² - 1)³ on the interval [-7, 4]. Find the absolute extrema for the…

A:

Q: Vectors a, b, c are given below. Accurately draw the following vectors. a. u=3a-b+ 0.5€ b. v = ²6-2ä…

A: answer is in next step

Q: -S² √√x" dx -2- ។ (X) 5 JX dx -2

A:

Q: 3. Evaluate sin5 xdx

A:

Q: Let y = tan(5x + 2). Find the differential dy when x = 2 and dx = 0.3 Find the differential dy when…

A:

Q: Find the general antiderivative of f (x) = O2 ln ln 2x + C 1 O + C - 2 ln 2x O-In In 2x + C 1 O + C…

A: The function is given by fx = 4xlnx2 To evaluate: The most general antiderivative of the function.

Q: 21) f(x)=47x A) (4 ln 7)47x Write summation notation for B) (7ln 4)47x x(In 2) C) (In 4) 47x x(In x)…

A: Finding the derivative of f(x)

Q: √√3+ rdr then 0 (2)=√√3+230 I X

A:

Q: problem: Find the vector below. ting the unit normal vector of A = 40 + 7 ₁ 0 - 3 K

A:

Q: Given A(1,3,-7) and B(0, 2,-4), the magnitude of AB is a. √147 b. 3 C. √11. d. 3.3

A:

Q: Use polar coordinates to find the volume of the given solid: Insider the sphere x² + y² + z² = 16…

A:

Q: (a) Assume that f(x) is a function defined by f(x) = x²-3x+1 2x - 1 for 2 ≤ x ≤ 3. Prove that f(x)…

A: Given.

Q: Use definition of derivative to find derivative of the function f(x)=3/x+2, at x=-1

A: Given f(x)=3x+2    at x=-1To find f'(x) at x=-1

Q: 6.) Find the local extrema and saddle point(s) of f(x, y) = x²y-6y²-3x².

A:

Q: Calculate the area and show the graph of the curves:

A:

Q: 8 3) If f(x)= 2 (x-1)*, then f (2) (1) = Σ k=0 a) b) 2 c) 4 d1

A:

Q: Q1/ The volume generated by rotating the region bounded by the given curves y = √x + 1 + 2, y = 2x,…

A: Concept: The disk method: The volume of the solid created by rotating the region enclosed by the…

Q: The components of vectors A and B are given as follows: A=5.1, A = -5 X y B-2.6, B = -4.3 X y What…

A: We have to find magnitude of vector sum A+B.

Q: + [ƒ(2)₁ Suppose that fand gare continuous functions such that 1 [ g(x)dz -3, find f(x)dx= 2 and +…

A:

Q: Find the value for k so that the function will be continuous at x = -4. f(x) = 7x + 47 -x² + 18x81+k…

A: Topic = Functions

Q: erivative 263.7 0.5cos0+ 0.3515.sim

A: Derivative

Q: The weekly cost of producing x key chains is given by the function C(x) = 1800 + 33x + 0.15x2. Find…

A: marginal average cost

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: Find the average value gave of the function g on the given interval. TU TU g(x) = 6 cos(x), 2 2 gave…

A: We will find the average value of function as shown below

Q: Evaluate the limits 3 01 O lim X-00 3x-2. X

A: To evaluate: limx→∞3x-2x

Q: x-y (x,y) →(0.0) x + y 2.) Prove that lim does not exist.

A:

Q: Let C be any curve from (0, 0, 0) to (4, 7, 2) and define a vector field F(x, y, z) = (y cos xy, x…

A:

Q: 2 x 2 sin Evaluate the spherical coordinate integral p² sin dp do de. 00 0 The value is (Type an…

A:

Q: SR(xy)dA where R is the region bounded by x=0, y=2x+1 and y=-2x+9.

A:

Q: TOOTOT E) Evaluate the triple integral on the left in each of the following: (a) fffdz dx dy = 1 (b)…

A: Given problem:-

Q: Use linear approximation, i.e. the tangent line, to approximate √81.3 as follows: - Let f(x) √x.…

A:

Q: Find the tangent line(s) to the parametric curve given by z = t¹ - 9t² and y = t² at (0, 9).

A:

Q: 3πt -? What is the value of Sin 4 2. What is the value of Tan 3

A: Given sin3π4            ⇒sin3π4=22=0.707

Q: The function f(x) = 7 1+9x² f(x) = 2 chan Σar n=0 Find the first few coefficients in the power…

A:

Q: Use half angle formulas to fill in the blanks in the identity below: 1 (sin(8x)) = 1 COS |x)+cos((…

A: topic- trigonometric identities

Q: Find the particular solution of the following differential equations with the given condition. 3) dy…

A:

Q: P2: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x - 3y - 2…

A: Given: y=√(x-2) , x-3y-2=0

Q: 4. Multiply: 7(cos 15° 5. Using your answer 1/4.

A:

Q: Evaluate the following integrals: dx dx ·S b. S √81+16x² √16x²-9 a. dx 49-4x² c. S.

A:

Q: farm bureau Determine the open intervals on which the function is increasing, decreasing, or…

A:

Q: 50° E 30° D In the figure above, line segment AC is tangent to the circle with center O at point B.…

A:

Q: Find the one-sided limits of f(x). Step 2 of 2: Find lim_ f(x). X→-7+ Answer 4 Points f(x) = -7x - 3…

A:

Q: Integrate (three) of th 1) f sin6x cos3x dx

A:

Q: ol Down: Two Reflections . Graph the function g given by g(x) = -f(x). 2. Graph the function h given…

A: Reflection

Q: ib Show that the function defined by F(x, y) xy √² + y² O is not differentiable at point (0,0) if…

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: 1. Find the indicated limit 1- cost, (a) R(t) t 1+ cost, i+ (b) R(t) 1-sint = = -i+e¹j+ek; lim R(t)…

A: