Find the points on the curve x = t² - 16t – 5, y = t² + 14t + 7 that have: A. a horizontal tangent line B. a vertical tangent line

Q: Please show steps. Derive the Laplace Transform of the function f(t) = t² (recall that the Laplace…

A: The given function is  To find:-The Laplace Transform of the given function

Q: Evaluate ]] x + y dA, where R is the region bounded by x = 1, x = 4, y = x, and y = 6 — x. R

A:

Q: Given (t)=4sinti+at+4 costi find the arc length for t € [0,*]. What is the formula for arc length in…

A:

Q: Consider the following function and given interval. f(x) = 2√x, [4, 9] Is f(x) continuous on the…

A:

Q: 1 x + 1 rectangles and right endpoints as sample points. Rn 0.6345 Estimate the area under the graph…

A: ;

Q: If the marginal revenue for ski gloves is R'(x): = -0.7x + 40 and R(0) = 0, find the revenue…

A:

Q: Evaluate the integral by interpreting it in terms of areas. 1₁ ( 2 + √ 49-x²) dx

A: simplify the integral

Q: Find the critical points of ƒ(x,y) = (x³y - y³) 5

A:

Q: rem for Integrals Find or approximate all nction equals its average value on the given 4] 40. f(x) =…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first  question…

Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

A:

Q: Find an equation of the line tangent to the following curve at the given point 11x 6 y = 1+ sin 0…

A:

Q: Set up the integral that computes the volume of the region W in R³ bounded by the surfaces z = 0, x…

A:

Q: pлd¹ The rate of flow, Q of a fluid through a pipe of diameter, d and a length, L'is given by Q…

A:

Q: Determine whether I 5Mm Converges or diverges. If 6 7m m=2 Converges, find its sum

A: Geometric Series∑n=1∞a⋅rn−1 Converges if and only if −1<r<1∑n=1∞a⋅rn−1=a1−r

Q: a) The rectangles in the graph below illustrate a ? The value of this Riemann sum is 0 and this…

A:

Q: Find a vector-valued The ellipsoid r(u, v) = function whose graph is the indicated surface. x2 1/2²…

A: To find a vector-valued function whose graph is the indicated surface. The ellipsoid

Q: Find the value of k that makes the antidifferentation formula true [ (4x +1) 7 dx 4x + 1) ² dx = k (…

A: Integration helps to find the value of k.

Q: Solve the following integration :- S [ 5 Cos x dx

A: we need to find the integration.

Q: 2. Determine the value of the discriminant for the quadratic equation y = 1.4x² - 6x +5 and use that…

A: we are given the quadratic equation and we need to find its discriminant.

Q: Find the general Solution of: 2² dy dx = x² x e

A:

Q: Write (but do not calculate) the integral that gives the volume of the solid bounded above by the…

A: We need to find out the integral that gives volume of the solid bounded above by the surface and…

Q: d). 1 0 0 0 1 6 -6 » e). 10 11 017 f). 10-5 01 1 0 1 000

A: Row echelon formA matrix is said to be in row echelon form ifi) All rows have zero at the bottom ii)…

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. a = 14 b = 28…

A: Note as per guidelines we support only three subparts of the question.kindly repost next in next…

Q: 1 S² F(x) '9 +6² f(x) dx = 37 and g(x) dx= 18, find I' [3f(x) + 5g(x)] dx.

A:

Q: A = 90°, B= 20°, a = 7;

A:

Q: local minima occur on the function, enter in the appropriate box. f(x) = - 23 - 4x² +15x-8 3

A:

Q: Let f(x) = x^4 − 4x^3 − 20 (a) Find the zeros of f"(x). Then decide which of these are inflection…

A: According to our guidelines we are supposed to answer only the first three subparts of the question.…

Q: 4. In this question we will consider the transformation given by the formulas and y = u-v. (a) What…

A: Changing of the independent variable.

Q: State the location of the vertical asymptote of f(x) and use limits to describe the behavior of the…

A: The given function isThe first derivative is given as,The second derivative of the function is given…

Q: Use the First Derivative Test to find the location of all local extrema for the function given…

A:

Q: -2 -1 2 1 Undefined Derivative y=h(x) 2 Identify all values of c for which h'(c) does not exist. اهد…

A: The graph is given as,

Q: A $225,000 adjustable-rate mortgage is expected to have the following payments: Year Interest…

A: The objective of this question is to calculate the total cost of both adjustable-rate and fixed-rate…

Q: Evaluate the integral by interpreting it in terms of areas. 4 [3₁ |x| dx

A:

Q: Gonzalez Manufacturing borrowed $39000. Part of the money was borrowed at 8%, part at 10%, and part…

A:

Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

A: The given tablet(h)0246810r(t) (L/h)8.67.66.86.25.75.1

Q: Sketch (on your work paper) the graph of a single continuous function f(x) that meets all the…

A:

Q: The function f(x) = x² + 5 is Select one: Neither odd, even, nor periodic function an even function…

A:

Q: tx" + (t − 2)x' + x = 0

A:

Q: Write the given expression as a single integral in the following form. [_^¸ ƒ (x) dx + [* f (x) dx −…

A: To write the

Q: Consider the series. 8n (n+1)4²n+1 In this problem you must attempt to use the Ratio Test to decide…

A:

Q: d'y Solve the following differential equation by Laplace transform metho dy +4 dt + 3y = e, given…

A:

Q: 15 Find sin 2x, cos 2x, and tan 2x if tanx = 8 sin 2x = cos2x - 0 tan 2x 0 - 8 X and x terminates in…

A: tan x = 15/8x in first quadrant Find sim 2x , cos 2x , tan 2x

Q: Evaluate the integral by interpreting it in terms of areas. L² (3x-14) de Part 1 of 3 We are…

A: To evaluate the following integral by interpreting in terms of areas.

Q: Hello please help solve this calculus problem attached down below.

A:

Q: If what does the following integral equal? 17 |_ * = [9f(x) + 3g(x) − h(x)]dx · - 50 - 17 - 50 - 17…

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Use natural logarithms to solve the equation. -0.417t = 6 The solution is t = 0 (Simplify your…

A: Consider the equation

Q: Find the derivative of the given function. f(x) = e6 sin(x) 6 sin(x) cos(x) f'(x)= 6e What is the…

A:

Q: Find the general Solution of :- - dy dx = 3 Sin 2x Cos 2X

A: The given differential equation is

Q: Write the product of complex numbers in the form a + bi. (3 + 3i)(2 + 3i) i (6 — 2/)² = 8 i(1.4 +…

A:

Q: 8. ( Determine whether the following two planes are intersect or not. If they intersect, find the…

A: