Basic Math question and answers for July 15, 2023
- Q Use the formula for the general term? (the nth? term) of anarithmetic sequence to find the sixth term of the sequence with thegiven first term and common difference.a1 =15; d=7a6...
- Q Use Lagrange multipliers to find the distance from the point(2, 0, ?1)to the plane4x ? 3y +8z + 1 = 0.
- Q The quantity demanded of a certain electronic device is 1000units when the price is $665. At a unit price of $640, demandincreases to 1200 units. The manufacturer will not market...
- Q Water is flowing at the rate of 5m3/min into a tank in the formof a cone of altitude 20 m and a base radius of 10 m, with itsvertex in...
- Q The two basic facts about the quantifiers you need tounderstand, and from which all of the logical properties of thequantifiers follow are:Basic Fact 1: A universal quantifier (x) Fx isequivalent...
- Q Solve:y' = (y2-6y-16)x2y(4) = 3
- Q a) ty’ ?y/(1+T) = T,(T>0),y(1)=0b) y?+(tanT)y=(cos(T))^2,y(0)=?2Solve the above equations.
- Q Anthropologists examined the gene for Rh blood type in twovillages on the northern coast of Nunavut, Canada. This blood typehas two alleles, "plus" and "minus". The "plus" allele had afrequency...
- Q 1. For each, circle either True or False. please add anexplanation to each one so i can understand thereasoning (a) (1 point) A continuous function is always integrable.T/F(b) (1 point) A...
- Q [10 pts] A model rocket is launched from a raised platform at aspeed of 120 feet per second. Its height in feet is given by h(t) =-16t^2 +120 t +...
- Q What is called a basis for a vector space? What are the extraproperties you expect for a good basis?why?
- Q The point ?(?6 cos ? , ?3 sin ?) is on an ellipse.a) Write down the equation of this ellipse in Cartesian form andfind its foci.b) A hyperbola has the...
- Q first of all thankuu and pleasei dont need theory just clear my concept very clear sothat i never have problems insolving such questionsgive me a very brief explanation about volume...
- Q a)Find the volume of the solid obtained by revolving the region inthe first quadrant bounded by the curves y= x^(1/2) & y= x^5about the x-axisb) Find the volume of the...
- Q 1. Find the standard form of the equation of the hyperbolasatisfying the given conditions. Foci at (-5,0) and (5,0); verticesat (1,0) and (-1,0).2. Find the standard form of the equation...
- Q Prove that the SMSG axiomatic set is not independent.SMSG Axioms:Postulate 1. Given any two distinct pointsthere is exactly one line that contains them.Postulate 2. Distance Postulate. To every pair ofdistinct...
- Q An equation of a hyperbola is given.25x2 ? 16y2 = 400(a) Find the vertices, foci, and asymptotes of the hyperbola.(Enter your asymptotes as a comma-separated list of equations.)vertex(x, y)=(smaller x-value)vertex(x,...
- Q Let A be a 2×2 symmetric matrix. Show that if det A > 0 andtrace(A) > 0 then A is positive definite. (trace of a matrix issum of all diagonal...
- Q Marla is running clockwise around a circular track. She runs ata constant speed of 2 meters per second. She takes 46 seconds tocomplete one lap of the track. From her...
- Q Solve this differential equationy''+(-4-2-2)y'+(4+4+4+4)y=xy(0)=3-2y'(0)=2-3Answer it as y(x)=... and motivate all the steps of thecalculation
- Q What is the Maclaurin series for the function f(x)=arcsinx. Findthe radius of convergence of the series.
- Q Solve the following first order differential equations:(a) 2/?^ ???/?? = 4?^2? ; ?(0) = ?1/ 3(b) ??/?? + ? = ? ; ?(0) = 5(c) ??/?? + ? /? =...
- Q (1 point) Two chemicals A and B are combined to form a chemicalC. The rate of the reaction is proportional to the product of theinstantaneous amounts of A and B...
- Q 1. evaluate ? 8sec^3(2x)dx.Perform the substitution u=? 8sec3(2x)dx= ? +c2. evaluate ? sqrt(e^8x-36)dxPerform the substitution u=? sqrt(e^8x-36)dx= ? +c3. evaluate ? e^x / (16-e^2x)dxPerform the substitution u=? e^x / (16-e^2x)dx =...
- Q Find the arclength of y=3x3/2 on 1?x?2
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