(-2,5,7) + t(-3, 1,-4) and that the point Given a line defined by the equation T = P(x, y, 15) lies on this line, determine the value of x and y.

Q: -1 √ x²(3 – 4x) dx - -4 318 338 358 378 None of the Above 14 √√1 + 7x dx 25 -1 0 35

A:

Q: Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x2 + 16y2…

A:

Q: 3. [7.3] Determine the dot product between the two vectors below if there are 135° between them as…

A:

Q: The position of an object moving along a line is given by the function s(t)= - 16t+80t. Find the…

A: The objective of the question is determine the average velocity in the given intervals.

Q: Simplify csc(t) sin(t) - cot(t) to a single trig function with no fractions.

A: csct-sintcott=1-sin2tsintcot(t)=costcottcott=cost

Q: Solve the equation: y" -y = 2* + Oy=ce to xe +e* (x+c3e2X + CA) Oy=c₁e* + c₂e* + ex (x + c3e-²x +…

A:

Q: Find the value of the derivative of the function at the given point. 2 f(x) = 3x² − 4x; ( − 1,7) -…

A:

Q: Find the general solution of the following DE. xy(y')² + (x² + y²)y' + xy = 0

A:

Q: Integrate. Simc 1 In (6x) dx

A:

Q: find the general solution of the given equation. y''+2y'+6y=0

A:

Q: State what the Divergence Theorem says, using your own words. You may assume that E is a solid in R³…

A: We state Divergence Theorem and explain it.

Q: Verify that Rolle's Theorem can be applied to the function f(x) = x³ - 6x² + 11x − 6 on the interval…

A:

Q: 16y¹ fit+22 (x,y) → (0,0) (b) lim (0'0) ← (¹x)

A:

Q: Evaluate the double integral: r2 Y To 0 √y¹/3 x7 +1 (Hint: Change the order of integration to dy…

A:

Q: USING WASHER METHOD Find the volume of the solid obtained by rotating about the y-axis the region…

A:

Q: Solve the equation: y" - y" -2y' = 0 Oy=c₁e* + c₂ + c3e²x y = ¢₁e²^³ + c₂e³ + c3e²x O

A:

Q: (1,0), and (1,5). 5) Find the potential function of F(x, y, z) = (e² + ye*, e* + ze³,e³ + xe² ).

A:

Q: 5. [7.6] If vectors ū=(5,2,-1) and = (2,-1, 3) then... a) determine u x v. b) Explain the geometric…

A:

Q: 3. I. -1 2 Evaluate each determinant. 5 3

A: Given,-1523

Q: x² +9 √(x² - 1)(x^² + 4) In 1x + 11 + In |x-1| + tan-¹) + C Option 1 In x +11+ In |x-1|-tan ¹ () + C…

A:

Q: Which of the following graphs is the correct plot of y = 5+ 5 4 4 -3 3 2 2 -1 + 5 6 2 4 -1 -2 --3-…

A:

Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

A:

Q: e the differential equation e2x dy +2e²x y = 2x

A:

Q: Solve for the slope of each of the given point of a function

A: Given that,

Q: The region trapped between y 4x - 2x² and y 2x² - 1³ = y= 4х-2х² у=2х2-х3 a) Set up the integral…

A:

Q: B. Find the extreme values on the given closed interva 1. f(x) = 4x - 3; [1,5] 2. f(x) = x + 8;…

A: follow next step

Q: e. 4 e2z 1+etz dz

A: topic- definite integral

Q: Find dy/dx, if y= (3+cos x) ^(2x+1)

A:

Q: West Z dt x North JOAN dx dt ANDRES = 25km/hr dy dt y 18km/hr

A: Given: Speed of Andres  = 18 km/hr Speed of Joan  = 25 km/hr

Q: reply as soon as posible.

A: To find out the conservative.

Q: Find the area of the region bounded by the curves y = x² and y = -x² + 4x.

A: Here we have to find the area bounded by the curves.

Q: Which of the following are parametric equations for the entire line y = x + 1? Choose all that…

A:

Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

A:

Q: Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

A: Let's find lowest and highest temperature by using langrange multipliers.

Q: Evaluate the double integral: To L 0 y x7 +1 y¹/3 x7 dx dy.

A: The given integral is: I=∫08∫y132yx7+1dxdy   So, The limit of the x varies from y13 to 2. The limit…

Q: I. 2.) Simplify. Write "undefined" for expressions that are undefined. 2 5 3 2 41610 + -6 -6 2 2

A: Given:26-64.53-62+1220We need to simplify.

Q: 1. Find the Inverse Laplace Transforms of the following. 3) 3s³+3s 56

A:

Q: Evaluate the double integral: So Son VV (Hint: Change the order of integration to dy dx.) sin(7³) dr…

A:

Q: Find the volume of the solid generated by revolving the region bounded by y = 2x, y=0, x=0, and x =…

A: The given lines are y=2x, y=0, x=0 and x=4.   So, the bounded region is as shown below. Apply the…

Q: 54. Look for the volume of the solid produced by rotating the region enclosed by 1792# T y - x² =…

A:

Q: x4 Lz²+9dx 3x³ +9x−27 tan- ¹ (-) +C Option 1 x³ − 9x + 27 tan−¹ (3) + C Option 3 3x³ + 9x 9x + 27…

A: Here Is the solution

Q: √√1-25x² dx

A: This question can be solved by the concept of some special integrals.

Q: √ /1 + x² dx

A: We can solve the integration as below.

Q: 4. 2-5 2 -1

A: Given: ∆=|2-52-1|

Q: 5TT Without using a calculator, compute the sine and cosine of 6 What is the reference angle? In…

A:

Q: If f(t)= et and g(t) = 5t² - 2, use the chain rule to find the derivative of y = f(g(t)). y =…

A:

Q: 4. tan(5) a. Find the exact value for: b. Solve for x: tan(2x) = √3, xe [-]

A:

Q: Find the average value of the function on the given interval. f(x)=√√x+3; [1, 13] (Type an integer…

A:

Q: Use the graph of f in the figure to do the following. a. Find the values of x in the interval (0,5)…

A: To answer the given questions using the given graph.

Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Set up the…

A: