Q: y = 6x² – 4x, - dy Find dt dx = 7,x = -2 dt
A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as ...
Q: For the following composite function, find an inner function u = g(x) and an outer function y =f (u)...
A:
Q: Consider the following. 2r I+4 f(x) = Use a computer algebra system to find the derivative of the fu...
A:
Q: Write out the form of the partial fraction decomposition of the function: (x^2)/x^2+x+6
A:
Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...
A:
Q: Find the derivative of the function. h(s) = -2/7s2 + 9 h'(s) Need lel
A:
Q: For f(x)= (2x – 3)°, find the equation of the tangent line at x = 0 and x = 2. The tangent line at x...
A:
Q: Find the equation of the plane in the form z = c + mx + my containing the line in the xy-plane where...
A: Plane
Q: Let us try to find where a function is increasing or decreasing given the following. f(x) = x3−4x,...
A: Topic:- calculus
Q: Suppose that u =〈12/13, -5/13〉and v =〈-4/5, 3/5〉are two unit vectors and that for some function g(x,...
A: Directional derivative and gradient
Q: Use the graph of the function to answer each question. (-2n < x < 2n) f(x) = cot(x) 3 –27 2л
A: We have properties of cot function to solve this problem
Q: 3. Verify the following trigonometric expression. 1 1 = 2 sec2 x %3D 1-sinx 1+ sinx
A:
Q: a). End behavior of f(x). b). Determine the r-intercept. c). Determine the y-intercept. d). Determin...
A: The end behaviour of a polynomial function f(x) is the behaviour of the graph of f(x) as x approache...
Q: Find the derivative of the trigonometric function. y = cos(4x) Need Help? Read It Watch It
A:
Q: The sides of a square increase in length at a rate of am/s. At what rate is the larea of the square ...
A: Area of square with side 's' isA=s2Differentiate with respect to xdAdt=2sdsdt Substitute dsdt=2, s=1...
Q: The population of a city is 140,000. It declines continuously by 3% per year. Assuming this trend co...
A: We can find the final population as below.
Q: Find all points (x.y) where f(x,y) has a possible relative maximum or minimum. 10x.y) = x² - 5xy + 6...
A: f(x,y)=x2-5xy+6y2+3x-9y+8consider fx=0⇒2x-5y+3=0⇒2x-5y=-3consider fy=0⇒12y-5x-9=0⇒5x-12y=-9 Solve th...
Q: Find the intersection of the line and plane: 4x + 4y – 3z = 5, r(t) = (1, 1, 1) + t(1, –2, 3) %3D %3...
A: Given that line and plane are 4x+4y-3z=5 ,rt=1,1,1+t1,-2,3To find :intersection point of line and p...
Q: Question 14 of 15, Step1 6f The variable a varies directly as the cube of b. If a = 9 when b = 17, w...
A:
Q: Test the series below for convergence using the Ratio Test. n+5 Σ 4n +4 n=1' The limit of the ratio ...
A:
Q: If g(x) is the f(x) 1 a shift right by 3, and a shift down by 1, = x after a vertical compression by...
A:
Q: Solve the following equation for x. log(4x+170) = 2
A:
Q: By direct differentiation, find f(x] where f(x)= lalact!)
A:
Q: The point P (2,3) lies on the ellipse 8a² + 2y² = c. Determine the value of c and write the point-sl...
A:
Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...
A:
Q: On the graph of f(x) = cot x and the interval [27, 47), for what value of x does the graph cross the...
A:
Q: A board 5 feet long slides down a wall. At the instant the bottom end is 4 feet from the wall, the o...
A:
Q: 2 In x+1 3. S dx x In?x+x In x
A: The given integral is; (2lnx +1)/(xln2x+xlnx). Repost the next question.
Q: If g = 2430°, simplify the expression sin(sin g). If undefined, enter Ø. Provide your answer below:
A:
Q: 4. Evaluate each of the following. (1) E6+3. 2 &x (Recall that k = k2+k. You should have H, in your ...
A:
Q: 16 y = (0, 1) (x + 4)2"
A: Given: - The function is, y=16(x+4)2, at the point 0,1 To find: - The slope of the graph of the give...
Q: 1. Complete the table below by identifying the effects on resistance and effects on current flow of ...
A: We have to find if the quantities mentioned are directly proportional or inversely proportional.
Q: 27 The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) ...
A: Given query is to find the height of the ball when it's fall with the rate of 120 ft/sec.
Q: O Use a linear approxi mation (differential) to estimate 3999
A:
Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of t...
A: We will use the give solution as we are instructed.
Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3 ...
A:
Q: Find the derivative of the function. y = x*V25 - x²
A:
Q: Find equations of both the tangent lines to the ellipse x2 + 7y2 = 63 that pass through the point...
A: consider (x0 ,y0) be an any point on ellipse
Q: 3. The chemists say that between 0 C and 30 C, the volume V (in cubic cm) of 1 kg of water at temper...
A: The temperature at which water has minimum volume is T = 3.967°C
Q: dw at t = 4 for the function w(x, y) = e y - In x; x = t 2, y = Int. Evaluate dt O 1 2
A: Given that w(x,y) = ey - ln x x = t2 , y = ln t
Q: What is the coefficient of xk in 1+x+x4 divided by (1-x)5 ?
A:
Q: Vrite a chain rule formula for the following derivative. for z = f(r, s); r = g(t), s = h(t) O dz dr...
A: We have to find out derivative
Q: Let U = { 2, 5, 7, 12, 13, 16 } and A = { 2, 5, 12, 16 }. If B = { 5, 16 }, determine the relationsh...
A:
Q: Express the vector as a product of its length and direction. 6j - 8k 100- 10(j - k) 3 10 j O 10(6j -...
A: We have to find out the vector
Q: Given Cost and Price (demand) functions C(q) = 100q + 45000 and p(q) = - 2.8q + 950, what profit can...
A:
Q: Simplify: 1 2 3 3 2 + 2 1 1 2 2 2 3 4 5 6.
A: We will simplify the given operation of matrix in the following step.
Q: Prove the identity It tanh(x) tanh (x), 2x
A:
Q: ifx 1
A:
Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. b, = e9-n² (Give...
A:
Q: A company produces a special new type of TV. The company has fixed costs of $494,000, and it costs $...
A: NOTE: Refresh your page if you can't see any equations. . here fixed cost is $494000 and the variabl...
Solve using trig substitution.
Step by step
Solved in 4 steps with 3 images
